{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"TODO:\n",
"\n",
"\n",
"R1: \n",
"- get in touch with ngspice developers to go over xspice's lcouple & magnetic core\n",
"- reivew the tcoil more in depth\n",
"\n",
"\n",
"R2:\n",
"- Get rest of standard transformer done\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: KICAD_SYMBOL_DIR environment variable is missing, so the default KiCad symbol libraries won't be searched.\n"
]
}
],
"source": [
"from skidl.pyspice import *\n",
"#can you say cheeky \n",
"import PySpice as pspice\n",
"#becouse it's written by a kiwi you know\n",
"import lcapy as kiwi\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import sympy as sym\n",
"\n",
"from scipy.signal import zpk2tf as scipy_zpk2tf\n",
"\n",
"\n",
"from IPython.display import YouTubeVideo, display\n",
"\n",
"import traceback\n",
"import warnings"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"application/json": {
"Software versions": [
{
"module": "Python",
"version": "3.7.6 64bit [GCC 7.3.0]"
},
{
"module": "IPython",
"version": "7.12.0"
},
{
"module": "OS",
"version": "Linux 4.19.104 microsoft standard x86_64 with debian bullseye sid"
},
{
"module": "skidl",
"version": "0.0.31.dev0"
},
{
"module": "PySpice",
"version": "1.4.3"
},
{
"module": "lcapy",
"version": "0.75.dev0"
},
{
"module": "sympy",
"version": "1.6.2"
},
{
"module": "numpy",
"version": "1.18.1"
},
{
"module": "matplotlib",
"version": "3.3.0"
},
{
"module": "pandas",
"version": "1.1.4"
},
{
"module": "scipy",
"version": "1.4.1"
}
]
},
"text/html": [
"
Software Version Python 3.7.6 64bit [GCC 7.3.0] IPython 7.12.0 OS Linux 4.19.104 microsoft standard x86_64 with debian bullseye sid skidl 0.0.31.dev0 PySpice 1.4.3 lcapy 0.75.dev0 sympy 1.6.2 numpy 1.18.1 matplotlib 3.3.0 pandas 1.1.4 scipy 1.4.1 Thu Jan 28 00:28:29 2021 MST
"
],
"text/latex": [
"\\begin{tabular}{|l|l|}\\hline\n",
"{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
"Python & 3.7.6 64bit [GCC 7.3.0] \\\\ \\hline\n",
"IPython & 7.12.0 \\\\ \\hline\n",
"OS & Linux 4.19.104 microsoft standard x86\\_64 with debian bullseye sid \\\\ \\hline\n",
"skidl & 0.0.31.dev0 \\\\ \\hline\n",
"PySpice & 1.4.3 \\\\ \\hline\n",
"lcapy & 0.75.dev0 \\\\ \\hline\n",
"sympy & 1.6.2 \\\\ \\hline\n",
"numpy & 1.18.1 \\\\ \\hline\n",
"matplotlib & 3.3.0 \\\\ \\hline\n",
"pandas & 1.1.4 \\\\ \\hline\n",
"scipy & 1.4.1 \\\\ \\hline\n",
"\\hline \\multicolumn{2}{|l|}{Thu Jan 28 00:28:29 2021 MST} \\\\ \\hline\n",
"\\end{tabular}\n"
],
"text/plain": [
"Software versions\n",
"Python 3.7.6 64bit [GCC 7.3.0]\n",
"IPython 7.12.0\n",
"OS Linux 4.19.104 microsoft standard x86_64 with debian bullseye sid\n",
"skidl 0.0.31.dev0\n",
"PySpice 1.4.3\n",
"lcapy 0.75.dev0\n",
"sympy 1.6.2\n",
"numpy 1.18.1\n",
"matplotlib 3.3.0\n",
"pandas 1.1.4\n",
"scipy 1.4.1\n",
"Thu Jan 28 00:28:29 2021 MST"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#import dc code from parral folder\n",
"import sys\n",
"sys.path.insert(1, '../DC_1/')\n",
"from DC_1_Codes import get_skidl_spice_ref\n",
"\n",
"from AC_2_Codes import *\n",
"\n",
"sym.init_printing()\n",
"\n",
"#notebook specific loading control statements \n",
"%matplotlib inline\n",
"#tool to log notebook internals\n",
"#https://github.com/jrjohansson/version_information\n",
"%load_ext version_information\n",
"%version_information skidl, PySpice,lcapy, sympy, numpy, matplotlib, pandas, scipy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mutual Inductance and SPICE\n",
"\n",
"For a recollection of the basic theory of self and mutual inductance recall the YT video on the subject below from ALL ABOUT ELECTRONICS. However, let's be clear about this right now; SPICE is not a field simulator. SPICE just does a bit more than your EE 101/102 textbook. Though we will see there are ways to enhance the basic SPICE with XSPICE to implement more advanced magnetic device models. But even with XSPICE, we can still not get to the level of field solvers like Ansys who will do full E&M simulations and then extract the S-parameters and then use that as part of its SPICE incarnation.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('hoTInTKij0o', width=500, height=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The other thing to recall is that inductors in reference to other inductors are polarized elements and that polarization does have consequences as explained by ALL ABOUT ELECTRONICS in the YT video \"Dot Convention in Magnetically Coupled Circuits\""
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('sILgO4sQmRs', width=500, height=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Where in SPICE as we will see the dot belongs to the first terminal of the inductor. Further, to make SPICE aware of what inductors are coupled to which we use the `K` statement who’s SPICE syntax is\n",
"\n",
"```\n",
"KXXXXXXX LYYYYYYY LZZZZZZZ value\n",
"```\n",
"\n",
"Where `KXXXXXXX` is the name of the coupling, `LYYYYYYY` and `LZZZZZZZ` are the two inductors that are being coupled. And finally, value the value of the coefficient of coupling $k$ where $k$ can take on a value from 0 to 1 and is defined as\n",
"\n",
"$$k=\\dfrac{M}{\\sqrt{L_Y L_Z}}$$\n",
"\n",
"where $M$ is the mutual inductance between the two inductors and $L_Y$ & $L_Z$ are the values of the inductors of the two inductors respectively\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Series Mutual inductance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following is a quick testbench to when testing mutual inductance in SPICE"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"#%%writefile -a AC_2_Codes.py\n",
"#chapteer 2 section 3 mutual_tester class\n",
"#class to perform the analysis of the coupled inductors in section 3\n",
"\n",
"class mutual_tester(ac_ease, ac_representation_tool, eecomplex_plot_templets):\n",
" \"\"\"\n",
" Quick class to test mutual inductance \n",
" \"\"\"\n",
" \n",
" def __init__(self, circ, title, start_freq=1@u_Hz, stop_freq=100@u_Hz):\n",
" \"\"\"\n",
" Quick class to test mutual inductance \n",
" \n",
" Args:\n",
" circ (pyspice circuit): circuit under test\n",
" title (str): title for plots\n",
" start_freq(float; Hertz; 1@u_Hz): the starting freauncy\n",
" stop_freq(float; Hertz; 100@u_Hz): the ending freauncy\n",
" \n",
" Returns:\n",
" does the ac sim of the circuit, produces the ac values transformed \n",
" in `self.ac_sim_mag_DF` ect and creates a bode plot of the results\n",
"\n",
" \"\"\"\n",
" \n",
" #do what ac_ease is supposed to do at startup\n",
" #instainte the simulation from the circuit\n",
" ac_ease.__init__(self, circ)\n",
" #setup the simulation parameter with the helper method\n",
" self.ac_sweep_setup(start_freq, stop_freq, 20, 'decade', True)\n",
" #do the simulation\n",
" self.do_ac_sim()\n",
" \n",
" \n",
" #do what ac_representation_tool is supposed to do at startup\n",
" #and pass in the selfs from `ac_ease`'s ac_resultsNB_DF\n",
" ac_representation_tool.__init__(self, self.ac_resultsNB_DF)\n",
" #generate the representations\n",
" self.make_mag_phase()\n",
" \n",
" \n",
" eecomplex_plot_templets.__init__(self)\n",
"\n",
"\n",
" fig, ax_bode=plt.subplots(nrows=1, ncols=1) \n",
"\n",
" self.bode_plot_one_templet(self.ac_sim_mag_DF.index, self.ac_sim_mag_DF['V1_[A][dB]'], self.ac_sim_phase_DF['V1_[A][deg]'], \n",
" title='Source_Current_Draw', ax=ax_bode)\n",
"\n",
" \n",
" fig.suptitle(title)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each of the examples from ALL ABOUT ELECTRONICS here will create the circuit in three ways to see what effect mutual coupling has. The first is with no coupling. The second is invoking the mutual coupling. And the third case implementing the circuit with the theoretical simplification. This is followed by plotting all three cases on top of each other to see the effect of invoking mutual coupling and the theoretical simplification from SPICE’s view. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Series Adding Mutual Inductance from ALL ABOUT ELECTRONICS \"Mutually Coupled Inductors in Series (Derivation / Proof and Examples)\" @~ 6:04min"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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bIQL3NBKFtTiFHA8AsfM0uB4OZHeVzTfmLYyPlXiL1tDcRbSV1LUu+BFMwvPRG7yJT2HOK8tRFU2auTx2SPqFjC4ho4uIA9JNh+0rv2jGjNLQxNYyNjpLDaTOaDJI78Ylx3ht/wAVfP7HcHNPQWuG/wA4IK7bozp3RVETTPNHTTgASMlcI25hxdG9/kubz24rJYGuxTcq53Zt7tv5S8rWxozT+LurYY2xTRFu0yNDRKx7gw5w3cXguBzdAI6FxHTHD21VDVwOA8uCTLfflkY0vidbpEjWn5F2HWfplTzwmipHiXOWmaVv3sNY4PDGO/HcXNbvG611xnTvE20mH1cxIBET447880oMcI7bmn5CvLIzbr11PR/84eI+Zmm/yqgqAfsVW3hAie3t8yhUj9rqt4LEL+7BMGrK57oqGjq62Vjdo+KjppqqRsYIaXvZTMLgzM5ozHrBB/F0+pD6VnWQSRPkhlY+KWJ7opIpGujkjkYS2SORjxmY8OBBaegr0GaN4kabx5uG4g6hsXmtFFUmiDGuLHuNUI9kGh4Lb34ghB5d/Nbco0qfOlkGQKnyL+rCsNqayRsFJT1FXO4OLYaWCWpmcGi7y2KBpeQAL3C/OvpJYJHwzxSwTRkslhnjfFLG8cWyxyAOY7hucg/HhZW/mWIV4oIXK/L/AL+hRTo9aDP5VG+1lv8AqX1XVOk762OlqoKXxBlPJJt2SOzipM4aI9mNxHizuPXCmqXVdU6RU1fV09VBTsw1jJJGTNkc6QSRyygMMe4G0JG/rBBoQ9CjlGPuOHGxVJQXh7fvQLEo4gC5sAOJ83yoF+CLasJ1a6Q1TBLBgmKPiO8PNHNE14IuHRGZo2rfO261/FsNqaSV0FXTVFJO34UNVBLTzNB4ExztDspsbHnQfy86A/vUCNKC33oVPbzKlBj6gshw3LAe3zrIcEFP1KG3Mug4Bqsqq3AazSRlVTsp6EzNfTObIZ37HZ5sjh5IvtBx6Fz1AKhVKhQUKFbDq30VlxzE6XCYJY4JawzBksoc6Nmwppqp2cM8re2nc3d1gvz1gaNyYPiNXhk0jJpaKRsb5Yw4RvLo45gWB+8C0gG/oKDwkV85Xp4ro7iNLFHUVeH19LTzFrYaipo6mngmc9jpYxBNNGGSkxtc6zSdzSUHloEUCA5ZOWJW36ptBJ9I8QGG088VNIYJanaTB7mZYHRtc20e/N76PmKDUVCvS0nwl1BW1dC97ZH0NTUUj5GAhj3U0roXPYHbw0lhO/pXmoKFPb9iBUIMShX60lNJNIyKGOSaaVzY4oomOklkkeQ1kcUcYzSPLiAGt3m4X74zhVVRSbCspamjnyh+xq6ealmyOJDX7KoaH5CWu3/4Sg/jCIiAUUKqAqViCskArIBYrJiDqerLWNHBGyixBxEcYDKeqsXBjBubFUBu/KNwDxzAX4XXWqOqimYJIZGSxu+C+N7XsPocw2Xyk5d51G/gsfn5/wCRZPOY61ap5+jdMzw7kw2nHcdo6FmerqI4Ra7WudeR9uaOJvlyHdzBcK1kaaPxWRrGB0VHCSYo3WzyPtYzTW3ZspIDRwzHpXteECP6dTfojR/9+Zc4C68LjbVNunUTvmfwgsq0KKrQiBVRoV9SDJd/8BX8OVv/AJZJ/q6RcAK7/wCAt+HK3/yyT/V0iDcfCA1KPxvF6HEMJI2GKzeKYtNFlIpH07XiSvta2bY08kRB/HhhB3uK6DrqhoodEMWo6DI2mw+lFA1jPgxGmdC0xX/GcBYE9IdffdcU0Q14S6PTaVYfK103/aOMVGDAguZFXSYjO2SCW3waYuft/wD5U44uAXu6Hzvk1aYrLK90ksr8Rlllebvllkrg+WR553l7nOJ/xFBzDV1qyosT0axzHpamsjqsHFaYYYXU4ppvFaGKsi24kgMnw5C05XDcBwWXg26raLSmevhrKmspm0cVPLGaN1OHPM75mvEnjELha0Q4W4ldB8G3D5a3QzSugpW7WrqPH44YAQHSST4TDHAwX3C8jS256CvQ8BvR3EKSfF56ugrKOKSKkhjdV001LtJI5Kh0jGNqWhziGvbcgfjINZ8CTCsMlr/Hp650WLQmWOjw8SRBtTTy0wNRMY3R7Vxbd29pA3bwvx8J/RXRuGbEcQpMafUY3LXN8Zwsz0rmwGQ/0i0LIRM2wDT5Tj8Ja14HEgbpNh4cQC+Csa0H8Z3ikj8o6TlY4/5Sv59f2iuJjH8cqDh9aKVtRJVGqNLMKTxd4jLJRVFmyc3yw3ceNxxCD99P9WNFh2jGDaQQ1FZJVYrJSxzQSupzTReMUdVUymARwCQe+UzQMzjucePFZ4Hqtop9EarSZ1TWNrKaR8bKdrqfxRwbVRU4Lw6Ha3yyOO5w3gLo2sTBarEdXmjviEEtY6jfRTzR00b55RHHS1lFKWxQgveRNOwGw3WcTwK/TCsIqqLVpXx1lNPSyukfMIqiN0MuzkxCnMb3RSDOy4F7OtxCDkGqDRLAMQZWVGP427CoaR8DGRR7Js9UZ2yu95dK1xfYQPuxjCeBuF0Ss1I6O4vh9XW6I41UVtRQtLpKWqyOEhDHPbFlNOyaCRzWOyvddpLCOkj8/B61e4S/BMQ0mxGgfjctIahtNhTGmRh8VjZIQYGj3+Zzn8HhwDWtIaSureDRpf8AdU4mI9GKTAIoI6cMkpKcxCqLzUgwvkFMxsjmBoNhw2/AX3hzrwCHB02PEWsafDCLdBfiNk8Cn8EaSfmKf/S1i/H/ANn20h2NhwIcKTCg4EWIIOIAgg7wbr9fAo/BGkn5in/0tYg0rVhqlocc0brsUpKquONYc2XPQA0xpZXRN8YgEbNhtrPpvJBzfDY/mFl+WoHVXR6QU2J4jidZU0eHYY1vv9K6AOdI2J1TVbQ1ELmhjafYu3fl2p4Immv3JxyCCV+WkxZjKCa5Aa2oJzYdM6+++1Lof/rXdC6r4SAo9FdHOT+GnZvxqtq53gZWuZRuqfGqllgLbINfSUYB/Ev0IPlOodGXuMQkbEXOMTZSwytiJOyEzowGOlyWBLQBe9l9B+BhoXSVM1djlexkkWFZY6ZsjQ6NlSWGeape0jfIyER5ejbOPEAj55K+n/AfxWmmp8ZwOV4bLU2q2NuA6WCWEUdUYwerlg+kBBqekXhSaQVFQ6WgbSUVGXE09PJTCebZfieNyufYy2sSI7AXtv4nTcdxTE9OcapA2ngbiNVDDROEReymtT7aWWqeH3dDEI3ucW3d97NrkgL+LSbVJpFhtS6ikwnEKkscWR1FFRVFVTVDRuZNHLTMLWAizsryCM28BdN8GHAanAdK6alxiEUlVX4TUyUsEj2GRpmqGmFsgYS1kxiw+qdkvcAtvYkgB6VRqZ0Iw6VuGYtpROzFXBgkDJqSnihkka0sDmPp3CmuHNcBM7eHt6VzLXjqpqNF6yGJ8pqqGsu6lqg3ZvIY5ongnbvayoAew3G4h4I5wLrh1fY7HjuIxOw7EKx9bW1NRTTQUs9RFUw1k75afJMxuzBDHtaWkjLlN7BdW8LuQUeA6M4XVytfiFOYJag5sziyjoDS1UjiPxTPMzeeOR3Qg5x4SWq+i0XqKKCjqaypbVwzzPdWOgc5pifGxrY/FoWi1nnj0JrS1X0eE6P4HjcFTWS1GMeK7eGZ0Bp4vGKCWsfsBFCJBZ8YaMxO4ldQ8N7R2vrJ8IqqKiq62DY1ULn0dNNVZJHvgkiEjadpc0ObnsbW97K/i8J2hmpdD9FKaojdDPA+hhmifbPHLHg9SySNwBsHBwI+RB5OiepHR6TAKHSDFsbrMOiqGtfU3dSbDypJI2w0gdT7TbFzWW+EfhbujHSzUfg9XhVRjOiOLTYkyjD31FLOY5HubEwSTRxbOFssFUI/LEcgOa7bWuF72mGG1NVq3wdlNTz1L2SU0jo6aGSeRsYlqmukLIWl2QF7bnmuv18EbCKrBcO0gxnFYZqHD3wQFjaqOSB8jaBlZJUzCCYB2S1RGwOt5RDgOCD+PVn/AO7bHOf3yu/9NMudaldUP3cgqcVxGuGFYHQ52z1ZyCSV0bA+bYOm97jia1zbyuuLmwBN7dC1WC2rTGha1n1oI6LNpRZbhqPqYKzQUU9PhVNjstHJUMqsGnkijbUTNr3Voa8zRuZtdjJFO0OG8hguOIDRKbUlovjtNU8k8eqKnEKNgcYK7KIpCc2y2rTSMmiY4sLds24G/cVy/VFqur9IsQloI/6IyjJ+6NRKzN4nZ7otlsmu98qTIyRoZcD3qQ33b+06Iaw5aCpecI1Xy0NY5joJJYoZaI7LM172T1JwsNZDmjafKNvIC/XwaMUOOUOmcdM6OkxPF5qusha1/wB4GJwTNpiyQgOextQZfKt+ODuug9TVDq/0Jw7G6M4dpFLXYzSPqhHTmro5I5pDSVMFVHkgpgHFsT535WuuNjvvYrgfhJ/8UY1+kx/6SmWyeDTohi1DpZhYq8KxGlbTOrRO6WjnbBCDhlbE3NUBmxLDI9jQ5psS9tibrXvCYic3SnGQ5pbeeFwuLXa6jpi1wvxFudBzh/A+j6l9VeFn/wAJaNfn6D/o9WvlV/A+gr6r8LL/AIS0a/P0H/R6tBqOqzUbhWLaPR49W4vU4ac9Sal7zSeIw01HWSQSv99jD2vMMR8pzrBzwbEeSf6tMNR2Bz4LU4zoti8+IjD2yvqI53wzNlbTM2tTG3YwNfBVCIiQNcCCC3cLgr+ho/7qXfpv/wCxtK/q8Edx+4Olbb+TsXOA5g51DUhx9Nmt7IQcs1G6p6rSieXLMKPD6TKayte3PYuBc2GnYSA+YtBcSTZosTe4B+idQ2hmhtBi2fBMflxLEoqaoifC6qpJo5IXPh20rBT0wDrOZGLsNvL3rS/B0oH4poPpDhWHWGJSy1IMedrHT7ejpRCHOJs1j2QSwXdu96dzLxfA/wBGsSpNJS6rw7EKVkdDWRyPqaKpgjbIZKYNYZJYwzMcrrb9+U2QeRo1oHTaSaaY5htXNU08XjONVQkpHQtl2kOIsY1p8Yic0syzv5uZu9aho5oTT1Wk/J981Q2l+6VZh23YYvGdlSvqGsku6PZbUiBt/JtvO5dd1GNMWsXGmyeQ57scDQ7cXGSugnjsDxvEC/0BeVohoVi0OsB0j8NrRTsxavrXVXiswpPFZ/GZYZhVFuxLS2aMWBvckcQQg55rS1efc3SB+j+GGorXF9HBTGfZGeWWshhktI6CNsbWh8p8qwADbngSuqT6j9E8FbDDpNpJJDiE0YeYaWSGGJgcSMzI5Kd8xjzBzdq+wOQ7hwX9uO1sFPrRikqC1rHPp4WucQA2eowcU9NvPOZpWMHnkC03wr9CsYGkdZWtoq2rpcQFNJSTU1PPUsa2Gjp6aWncYGHZSCWGR2Q2uJQRzoPS0D0C0bpNLKaBmPPlpIWYbieEVImo/wCnV0lU0wUBkZGWVDS1rDeINPl23W37d4W2iujc09biNVjT6fHYcOb4rhQnpGtqNltnUoMMkJmdme548lw+CuF6EYDV4VpFgMWI076KaWuwqqEU4DJRDPXNjhdKzjE4uid5L7EWFwF0fwxNFMUqtI2y0uHV1TDNQUzWTU9LPNDmikqds2SaNuziIBaTnIsHA8EGualtTUWL0U2OYziAwnA6cvaKgOibLOYX7Od7ZKgGKCESgx5iCS5rwALXO4v1D6O41SVE2iGPSVlXStBdS1ckL2PJzGNkmWBk1LmyuAkcC3yDu429HGcJqMc1cYSzBmPqX0MsUlZSQNLppxSOqoatjYR5UjxPJHU5RvIiaQCSL+b4FGimKQYtVYjPS1VHQxUM1NI+qhlpmyzyzU8sbGNnaDJZsMji4cPJ6UGm+DlqjpdJpcWhr6itoZMLbR5W0/i7Ttal9fHOyqbUQuPkuo2izbcX/J7OK6n8ArqzDMM0Zxw19VNLPHic8k1PPFSwU0O0kqo4KeNrnAv8htnEEkC/ErePBXroarFdPaqnLTT1M7KiBzfgvhnrMflikbbmLHtd/mXANQ9bjFJiVPV4FSmtraSCSd9IBm29GGNjqo8gcHP8mRtgzfcMIBtYh1vENWGrynqX4RPpPiEWJxP2MskmxbTR1G68UkpoPF2gE2IL928XuuCaTUEdLV1dLFOKqOlqJ6ZlSGbNtQ2CV8W2YzMcrDkuN53EL6w0c0w0f0ur48PxjQuqp8SqWPa+qmomnY7OJzyJ64NZV07crMocQN5aN118265NF4cFxrEcLp3ukp6WVmxc8hz2xzwRVLI5CBvc0TZL8+QFBqRWQWKyagOXedRv4LH5+f8AkXBgu9aj/wAGD8/N/IqL2h7L9RpnhAD+nU36I3+PMucro+v/APr1N+it/jzLnI+VdmJ7HR8hEVsgViIAp/ssmhT2/agyK2jVrp7iOj1TJWYb4vtpoTTP8YiMzNk6SOU2a14Idmibv9K1cqD6kH9eL18lVUVFXLl2tVPNVS5BlZtamV80uRpN2tzvdYehbThus3FKfBZdHo/FfubOJdpmgcaj36QSyZZtpYeUOhaYp6kG16tdYWKaOzvqMLmYwztbHUQzR7anqGsLjFtow4OzAvfZzSCM7t9iVvQ8JbSvaun2tBlc0MEHiR8WjyuJL4xttoZDcAlzj8EWtvvxkpf0oP7cAxSooKiCro5XQVNK8SwSstmje3duDhZzcpLS07iHOB3FdG011+aRYvRSYbVuoG01QGsnNPSOjmlY1wdZz5ZnNbctHwAFyxEHRdWmufHtH6d1HQS0z6UvdIynrIHTsgfIS6V1OYpWvZdxLi0ki5cbXJv++lGvPSHEqGqw2tmpZqasN5T4rkla0PZKxkDo3hrGB0bbXB57kneuaFRBuOrTWZjGjrpDhlQ1sc5a6alnjE9LI9oytkMRIdHJlsMzCCQ1oN7C251nhL6VyPzCeghGzkj2cFCNneRtmzf0iRz9s0+UN+XpaRuXG0KDdtXWs/FsBlraiikhkmxLIauSsifUvkdG+aQPzbQHOX1MpLje9wvx1dayMTwCCrpcP8W2Ve1sdQJ4XSuysjkjbsnNkGTyZX8b8y1AKBB2nwU9WsmI18WL1ceywbCXeMOnmsyOoq6cB8EbC/c6JjgJXP4DYtHObahr507OkOM1Ncwu8UYBSUDTcWpIC7JIWng98j5Jen31oPBafSYjUxMliiqaiKKoaY6iKKeWOKojNrsqI43ZZmeZ11/Kgc6/swXE6mimiqqSeSmqYHB8M8LskkbrWNiOILSWlp3EOIIIK/jKoQdtpfCj0pZGI3DCZnWtt5aKfand8JwgqmxZvQ0DzLmOl+muJ4tXDFK2re+uZsxDNEBAaZsD3SwNpdgBsg2R7nAjfdxN771rxQIOy0HhM6VwwiEzYfOWjL4xUURNQd3wnGCZsRd58q5dpXpBW4rVSV2IVElVVS2a+WS25jb5IomMGSGEZnWYwAeW48Sb+WiDrGi3hB6TYdRR4fDUUssUDBFDNVUxmqoYmtDY2MlEoa8BtgDIHcBe68DWDrWxnHqSlocTlp5o6ORs8crINlUSSthkgzzva/I4lsryQ0DeRwWjj2+ZRB9dxabV+j+gOCYhh2w8YDoYSKmJ00To5JKnOHMY9rvxW7wRwXBdZuuHHtIYm09fURR0ocHmkoonU9PI9pBY6cPkdJMQbENc61wDa4BWhuqJC0RmSQsHBhe4sHRZhNhxPzlfmUG44NrJxOkwipwCLxb7nVhldOHwudUXmyZ9nMJLN+9t5uledoFptimBVBqsLq30z3gNmZZskE7GklrKiCQZJLXNncRndYi5WvIg7HjPhK6U1ML4DJh1OJGujdLTUThNlcC11jUzuYDY8QFy/RHSGtwmpircOqH0lTCC1kkdjeN1s8UrHgsmhOVt2PBHkNPEArzEQdnq/Cb0rka1olw6EscxxkhoTtJAxwJZLt5nMyG2U5QD5RsQuXaXaR1uLVc1fiE7p6mc+U47msYPvcMLBuigANg0efiSSfJCBBCPUt3051o4rjNDR4ZWmk8Vw90T6bYwOjlzQU76WPavMhDxspXcw32WkhUINtGsXEvuIdGv6N9zDJtbbF3jOfxsV+6baWttx0cNy/TQDWVieB01bSUPipgxEZaptRA+Vzm7N8Vo3MlGTyJHfsWmqXQe3oJpdiOB1DazDKp9NMG7N9g18c0V7mOoieMkrL9PDiLFdOqvCc0rk2dpMOhyODnCKgPv1uLJtvO45D/4eU+cLipVQe6zTDExiQxrx2Y4ptfGPHDldJtMmzsWkZNlsve9nbLl8m1ty6PV+E1pXJsiJsPiETg8iGic0T2Bsyp2s5OS5BtHl+CObcuNrEINg040srMarZcTrjF41MIg807DDH7xG2KMtaXktOWNu+/MuhaP+EhpVRwNp/GKOsDBlbNX0r5qjKB5IdLBM3an/E+5POSuQM4KE+3zoPd050wxHGq04liE+0q8sccckbGwCGOFzpIGQCEAsDXyPcDxu8m63+bwktKnUpo3T0Dg6IwvqjRf0xwc3IXOdtdhntz5OdchKxcg2/VlrHxfRx73YXUiOObKZqWZgnpZXNAa174nG7ZcoAzsIJDWgkgLYtO9fWkuM0z6Kpqaemp5Rlnjw6B9MZ4z8KOWWWV0uzPAtaQCCQbg2XLwqg2/VnrHxPR7xz7m+Lf9oxwRVPjMLprspvGNlsssgyH+lS34/irytA9Kq/A6pldhk/i9QyMwZjHHK18LywyRSMlaQWExsPT5A3rxFUHaqrwn9K5IzGH4XCSCBNDQv2zehzdvUuizelq45iFbNUSy1FRJJNPO90s0sji+SSR5zPe9x4kkr8AqgLIBY86/RiCtXd9R34MH5+b+RcHHALvGo/8ABg/PzfyKi9oey/Uadr/H9Np/0Vv8eZc4C6Rr+/rtP+it/jzLnBC7MT2Oj5COV6VSFAVYiKD2+dZFRBkVisnLHmQCnR6FSp0ehBOhAiIMsp+TpKhQngogc6epCogqFEKAFAqFAgK2RAgIFHHco08/qKDp+omfRFn3QbpQ2VzpadzaM5HuhYGtMk2wfAdpFiJLGhrjYcwN3WPM6h0ed2zztjLnbITOY6UR5jsxK6NoY+TLYEtAF72AX0X4NGFUs+jGlEs9NTzSwx1WyklhikkithpcNm97czPK37l/V4IeH4ZJgukFRilHBVQUxL5TJAyWVtOyidJO2FxGdpyB3wSN5QfM2cE2uLjmB3/Msl9faodMtH9NPHNHp9GqPDoIaZ09GyIwvPirHsp3SRmGnb4jVNdPARsyfvhsd2/5LxqhNLU1NKXZzS1E9KX2AzmnlfCX2HC5Ze3nQflSwvleyKNjpJJXsiijYLvkkkcGRRsaN5eXkNA/xBfQeC+CliD4Y312M0WH1EguKUUzqvKeIY6bxhjXPHAhgI6CVxTV7jMeHYph1fKzPFR1tLUyttmdsopmPlLG88gYHOA6WtX1Vra1P4fpzPDjeF49Tm9OynymJmIUxbG57hs8kzX0kuZ5Dmm+9nAG6D5p1u6varRquGH1c8FQ6SFlVFLT57OgkkliaZGSNvHJngk8kX4DetNe4DeSB6bD966Jru0Ax3A5qWPFpDXRbI0uHVjJZJ43QxSSTCjDpwJInh9TI4Ru3Wks0kDd3+LQxmhmG0X3P0YdpLjtS0msqzAZGUxDWGYNl2TnQw5nNY2Jls2ycXG43h8eNcDvBB9HBTMOkL651oaHQaQaM1eOVOA8n8dw2Oeokj2QjfPFRtMsjHuEbTUwOp7lpeLtcCAbA5vw1eYhhWEaB0mN1mD0mJTU80uzZJDTiSSodi00FK6SokjJY1rnMOaxI2YsCQEHFfB9qNFhW1A0nBdBLTuioy5rnUbJXB23fO6A7WOoyZAx7dwJebh2VaHi7qczzGjbMykMsnizKhzHztp8x2IndGA0y5LXsvqzULjVFpNW6TYlLhVJAPEsHYylfHDVMglZHionfDI6EXzOa05rA+Q2/Bc88EjVpQ4tHV4zitO6uo8NAiioAwzCrqhA2ol2sI/rFonxARHc4z7+G8OFNkbewIv0Ai6yC+0dC8XqMZqhhOM6vhh+ETtkbFNJTNfHSmJrnweMNNO1sZIZYSRG7XGO1x5Q0DVlqiwqLTTEsHrmsq6PD6c1tDS1NpG1DJjTOibUtduqGsZUOYWuuHENJ6EHzW2RpNg4E9FxdZr650000raKWalxnV5FJgTJJI9tSwx1jI6WMu2VUTDTmBgytY6zyzLm43C+R5H5iXBrWBxLgxhcWMDiSGMLzmLQN1zv3BBihKBRBLbghQcyFBleywusliPb5kFHBCU5ijvqQRyjlShQQqlQLdtUWijcSqDJO3NSUuV0jTwmkdfZQnpZuLj6AOdeOov0ae3NyvhA8/RTQbEMSAkhiEdOdwqKgmON3TsgAXyelotu4rbhqZmt+EIs3R4s+3oz7W9vkXYo2AWa1thua1rR8jWtaOA4CwXut0QxMs2viU2W17eQJLfmi7aX81lka8zrb9UzZjd/kbU7HytpVoFiOHNMskbZoG/CnpyXtYOmVjgHxjzkW861ZfW72kXa4EEXa5rhYg8HNcDw6LFcE1w6JMw+dlRTty0tUXeQPgwTjynRs6sZbdwHNleOACtMXmZ1FfNXo2VePihoiyasAsx8q0Aybbcu8aj/AMGD8/N/IuC5ty7zqN/BY/PzfyKi9oey/Uafr+/r1P8Aorf4865yujeEAbVtP+it/jzrm2ZdmJ7HR8hlf24qe3/9UHn/AHqkqxF5051B5kB9vlQZvCxPD5Vm5YHm9KAVBzej6lfWsW8B7cyAqERv1ICIiAVFVEBChRyChQI1EBVTh7fIqEE9jwVUv+79qoQfTPgt/wDCuln5ur/6WV+HgtC+i2l1hf3ioFuk/cyXh0r5qcB+5CEHdfAY/wCJJ/8Ayas/12FLkunzSMVxQEEEYliIIPEHxybiCvFIQkk3J595O+/pug9/V3Q0lVidBTVz2x0U9VDFVPfKIGthkcGyEzE2j3H4XoXbqrwT8VZUB9BjFA6mJvHVSCohq2xk3jIjpmFkrwLeU1zb25l86DgV+9FiFRCwxQ1E8MRvmiimlijdm3uzRxuyn5elB9H+F7pDTQYfg2jsdecRxLDZIJ6yreWyStfS0clIx9YWnyap75jKWcfIN+Iv0r7u1GmmG0tVo3pC7BsTp2Hx6htFKNo9rM8dVG5u1Y0PY7JOzcQ91wfxfh2NgaLNAA5gBYfIOZVu5zXjc9hux43OaeF2OG9p846UH0jrn0d0uwnB6moxnSvxlkxjoxh9OSG1bKl4jnbJI5jHGMQGUlgab237lliY/wC6uD9KYf8A889fNszzI/aPJfIQAZHkveQOAL3byFAEH0x4DI970m/R8N/9OLLzPAy1gUNHT1mA11V4h90HCooqzO2IColp46WWISvGWKfLFC9pduJDxxsD89FCg+yqvVnp8JSI9NWOpN5FRJDs5wziC6COLITboePkXG9X+i9dj+PYsGaRvhxfDpZG4ficstpa/wAVqZKNrmiOTOIjTxNPvZIAlaCHA7+Nl7jHsC5xgFrQlx2Q6LRXyhfm6JrhZwBHQQCN3D9yD7v1XU2mmGyzS6V4vg0+EQwSOdOHNbOyQOZsnGVtHFGyAMEl3SXO9vpXxXp1UUk2JYhLQNDKGWsqpKRobkAp3zvdBkYd8bMhbZvMCAvLqZ5JQ0SSSSBhuxsj3PDDwuwPNm7t25fmgxUWRWKCetUqFAePm9SCqD1Kqf7IKERCgiIgQQLvWoinazCw8Dypp53v6btLYR/yxN+dcFK7P4PuKZ6eoozfNDIJ2bt2zmAa5t+by4yd/wCVVLnqaqtJOzumB9FamcPjlq5JXgONPG10YPAPkcRnA6Q1pH+ddhXz3oljsmHVDZ2DO0gsljJtnjJBIB5nXAIPmXUm6ycMyZs0wfa+y2Ls/ozD3u/yrjwmt01rT8iuYidv3TLVtdeHxxzwTsAa+oZIJQN2Ywlga8/4rSWv/gauFa7IWuwmdx4xSU72HocZmRG3+SR4+VdQ0z0hfiM+2c3JGwZIY73ysvclx4F5O826AOZca1+Yw2OliogffKmRsr287YYDmBPReXJb829VlFVOoycVWeHK/wCjiiyusVVuUITdd61F/gsfn5v5FwQrveov8Fj8/P8AyKi9oey/Uad4QP8AXab9Fb/HmXN10jwgf69Tforf48y5uV2YnsdHyAblcyhKgViK0qhQI1B+zvqWB5lk76ligD61iPb9oWR+v61iPb50FQIgQFEKIF1CqogqFEKAPqRVv1KBARLKlBG+kHfvt+wIFhE/M2/nK/QIMSoqogqBECDLmWKy5isQgo+tCgRBFkFEQFVCrdAsihVKAFVisigwcoqVEEKoCiqCrE+pUqIKoslEEQIvX0S0eqMTnFPTjhZ0srr7OCMmxfJbieNm85HpI+Llym3TNVU7IgTRPR2oxOoFPTjhZ0srgdnBHfe+S3E8wbz29JH0Voro/T4bAKembYfCkkdbaTSWs6SUjid3DmsAFdFcAp8NgbT07dw8qSR1tpNIfhSSkcT5uYAALTNaun/igdRUTwasi00zbEUoPFremot81+lY7Vaq9lb3M2fd/t8pbXU6X4ZHUuo5ayGOdlswkdkja4/iGZ3vYk4eSTfygvWFZDlzCWLLxzbRmW3Te9l8ouJO8kkneSTckneSSd5N+dYbMdA+YLuq9m7cxGyufsbX0LpXrHw+ia4RSsrKjeGxU7w6MO/8adt2MF+YXPmXCsdxWetnkqah+eWQ77bmsaPgxxt/FjA3W+tfxIrXQ4yzo/d3z4oFVHfXZFYgV3rUZ+Cx+kT/AMi4Ku9ajPwWP0if+RUXtD2X6jTvCB/r1N+iN/jzLm66R4QP9epv0Vv8eZc3XZiex0fICiKKxFaUb7cyBT1FB+xWKpUPBA5tyg9vnVKgKAgRAghREQFFSpZAVcVPX9aHm3IKEVCgQFJT5J9CqxlNmk9Ho+tBhSDyBzcf3/sX6jnX50x8kfL+9foEEKWRCgWQJdAgyPAqK9KiAiIgioUVQCqoUCCj0IoFUEAWXqWIKp6EGJWKyKx9v2IBQe3zog9vnQUqKlEBQKr1tEtHqjE5xT04/wAUszgTHBHexfIRxPQ3nt6SPi5cpt0zVVOyIDRLR6oxOoFPTt4WdLK4e9wR875LcTzBo4/OR9FaK4BT4bTtp6dtgPKkkdbaTSW8qSUjifNzbgE0V0fp8NgbT0zbD4UkhttJpLWMkpHE7gLc1gAtM1q6wBSB1FQvBqyLTTA3FKD+K3pqLdn0rHarVXsre5mz7v8Ab5Sa1dYHieaioXA1ZFpphvFKCPgs6ai3zelcRJ4k3JNySd5JO8kk8Tc8fOq8km5JJJJJJuSTvJJO8m++6i0+h0NvR2+TTx758UFlShUC7RURCgrhw9P1KFUncFECy71qM/BY/SJ/5VwZd61GfgsfpE/8iovaHsv1GmeED/Xqb9EH8edc4K6P4QX9epv0Ufxp1zddmJ7HR8hVQ61+joRrb8FirEUJzfIoPqV6fQg/Q+3zojlCeKAoD6kQICXVWKCqKlEEKIhQQ+37VXIUKC86BFQgxKwm+C4b+B4dKzK/Ob4J9Fvn3ILBwHoC/QLFg3KhAUVKhQVQoiCohRARQFEBChRBSgKhQIKigRACqit0EcsSsisEFCBT/dUIKVFX/UvW0T0eqMSqG09O2340srh73BHwzyEcTzBo4/OR8XLlNumaqp2RAuiej1Ric4p6ccLOlldfZwR3tnkI4njZvPb0kfRGiuAU+G07aanbuHlSSO++TSfjSSkcT5uawAV0VwCnw2BtPTtNhvkkdbaTSWs6SUjifNzbgFpmtXWB4mHUVE4GrPkzTDeKUEfBaeeotb0elY7Vaq9lL3M2fd/t8pNaun4pM1FRPBqyLTTCxFKDxa3mNRb5r9K4k4km5NySSSTckm5JJPE35/OhuSSbkneSTckneSSeJui0+h0NvR2+TTx758UJZAiLtFIQKKhAREQULELIcVCgLu+omVrsMLQQXMqJg8c7S4Mc2/yELhC/swnFamkcX008sDnCzjE9zMwHAPANnDeePSVwZLRzrLPNxOydo3nX/K04hA0EEspWZh1S6acgHz5bG3nC50v0qJ3yPdJI90kjzmfJI4ve47t7nONyd3OvzXtpLHR7NNvjsgVpUVU5l0gr0+hRDz+3Qg/V6xPOsnqICnt+1CiAVCqsUFugREByjvqVeoQgqFCjkFQKKtQRywm4dG8e371msJhew8/7OdBmee3Sq1S370aghRRCUFKiXQoKiiIKgUCIBVUKIKSojkQAVVOlEALJYFZoIViqVEAqhQr19EtHqjEqgU9O3odLK4HZwR3sXyW4ncbN57ekj4uXKbdM1VTsiBdFdHqjE6gU9OLbg6WVwOzgj4Z5LcTxs3nt6SPonRXAKfDYG09O2w+FJIbbSaS1jJKRxd5uYAAJorgFPhsDaenbu+FJI620mk4GSUjifNzWAC0zWrrAFJmoqJ16si00wsRSg8Wt5jUW+a/SsdqtVeyt7mbPu/2+UmtXT8UgdRUTwasjLNM3eKUHi1vMai3zelcRcSbkkkkkkk3JJ3kkneTfnVcb7ySSSSSTckk3JJO8m/OotPodDb0dvk08e+fFCqFVQrtFUVUQVAhRqCrFVEBQqoUAhCilkFCJdAgKn1qIUAKO+v1Kofr9v3IP0eoSsnLEIBToQqFBSsVkQo6yAoqVPWgrlD0qPP7vUqUFKjjZEQd80S1fYZHSwmanZUzSRskklkLnXc9ocRG0HK2PfYW6N69bkPhHxfTdk+tcawDWHidFCynjfFJEzyYxPEZHRt5mNc14OTzG9t3MvQGtnFuij/USfbLJ3sZkarkzFf5S6ryHwj4vp+yfWnIfCPi6m7J9a5V7rOLdFH9Hk+2WPus4t0UX0eT7ZeXVWS8/qkdX5D4R8X0/ZPrTkPhHxfTdk+tcp91nFuij+jyfbKjWzi3RR/qJPtk6qyXn9UjqvIfCPi+m7J9achsH+L6bsn1rlPus4t0Uf0eT7ZT3WsW6KL6PJ9snVWS8/qkdX5DYP8X03ZPrTkNg/wAX03ZPrXKfdZxboovo8n2ynutYt0Uf0eT7ZOqsl5/VI6vyGwf4vpuyfWnIbB/i+m7J9a5R7rWLdFF9Hk+2T3WsW6KL6PJ9snVWS8/qkdX5DYP8X03ZPrTkNg/xfTdk+tco91nFuii/USfbJ7rWLdFH9Hk+2U9VZLz+qR1fkNg/xfTdk+tOQ2D/ABfTdk+tcpOtnFuij/USfbJ7rOLdFH9Hk+2UdVZLz+qR1bkNhHxfTdk+tOQ2D/F9N2T61yj3WcW6KL6PJ9snutYt0UX0eT7ZOqsl5/VI6vyGwf4vpuyfWnIbCPi+m7LvWuUe6zi3RRfR5Ptk91rF+ii+jyfbJ1VkvP6pHV+Q2D/F9N2T605DYP8AF9N2T61yga2cW6KL6PJ9sr7rOLdFF+ok+2TqrJef1SOrchsH+L6bsn1pyGwf4upuyfWuU+61i3RRfR5PtlDraxboovo8n2ynqrJef1SOr8hsH+Lqbsn1r1cHwmmo2GOlgjgY52dzY22zOtbM48SbC29cTOtrFuii+jyfbL8qvWni8jHMz08WYW2kMJbI0Hjkc+Qhp89l81YbX3P/ADXVu+Y3fWpp/wCKZqKieDVkWmmG8UoI+C3mNRb5vSuIkk7ybkkkk7ySd5JJ3k35/Oq4km5JJNySTckk3JJO8m5vfzrFaXQ6G3o7fJp498oVRUqLtFCh4IE9vQgqnrRqgQZFRqFAgqit1EFCFAoUFKXUKhKChE/2VKAqVPb9yqAsf9vrWSFB+jliFqPKio6kPZf31OU8/Uh7L++g27m+dFqPKafqQ9l/fTlNP1Iey/voNuKhWpHSefqQ9l/fTlNP1Iey/voNtKH61qPKafqRdl/fV5TT9SHsv76DbD9SpWo8pp+pD2X99DpNP1Iey/voNuCLUuU0/Ui7L++h0mn6kPZf30G2oCtR5TT9SHsv76cpZ+pD2X99BtxUWp8pqjqQ9l/fU5Sz9SLsv76Dbkb6lqJ0ln6kPZf31RpNP1Iey/voNsKjuC1PlNP1Iuy/vodJZ+pF2X99BtgVWpcpZ+pD2X99OUs/Uh7L++g21Ranyln6kXZf305Sz9SHsv76DbUWpcpZ+pD2X99OUs/Ui7L++g20otS5Sz9SLsv76cpp+pD2X99BthQLU+Us/Ui7L++nKWfqRdl/fQbYgWpcpJ+pF2X99XlLP1Iuy/voNsVWpcpZ+pD2X99OUs/Uh7L++g21QrU+Us/Uh7L++nKWfqRdl/fQbYEWp8pZ+pF2X99OUs/Ui7L++g21CtS5Sz9SHsv76cpp+pD2X99Btqi1PlNP1Iey/vpykn6kXZf30G2AoOC1PlLP1Iuy/vpyln6kXZf30G1hFqfKSfqxdl/fTlJP1Iuy/voNsQLU+Uk/Ui7L++nKSfqRdl/fQbaEWpjSWfqRdl/fTlLP1Iey/voNtajvrWpcpZ+pF2X99OUs/Ui7L++g2xyLUzpLP1Iuy/vpyln6kXZf30G286Falyln6kXZf31eU0/Uh7L++g20otR5TT9SHsv76cpp+pF2X99BtyhC1PlNP1Iey/vqcpZ+pF2X99B4iIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIP//Z\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('49OL_3L7BFA', width=500, height=400, start=364)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### No Coupling"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In N_2 3H\n",
"L2 N_2 0 3H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=3@u_H)\n",
"l2=L(value=3@u_H)\n",
"net_in & l1[1, 2] & l2[1, 2] & gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"\n",
"circ_nok=generate_netlist()\n",
"print(circ_nok)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_nok=mutual_tester(circ_nok, 'No Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### With Coupling"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In N_2 3H\n",
"L2 N_2 0 3H\n",
"K1 L1 L2 0.5\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=3@u_H)\n",
"l2=L(value=3@u_H)\n",
"net_in & l1[1, 2] & l2[1, 2] & gnd\n",
"\n",
"k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"\n",
"circ_k=generate_netlist()\n",
"print(circ_k)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_k=mutual_tester(circ_k, 'With Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Equivlint Single Inductor"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 9H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=9@u_H)\n",
"net_in & l1[1, 2] & gnd\n",
"\n",
"\n",
"\n",
"circ_eq=generate_netlist()\n",
"print(circ_eq)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_eq=mutual_tester(circ_eq, 'Equivalent')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Comperion between all three cases"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"comp_plot=eecomplex_plot_templets()\n",
"fig, [ax_mag, ax_phase]=plt.subplots(ncols=1, nrows=2)\n",
"comp_plot.bode_plot_two_templet(anylsis_nok.ac_sim_mag_DF.index,\n",
" anylsis_nok.ac_sim_mag_DF['V1_[A][dB]'],\n",
" anylsis_nok.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[ax_mag, ax_phase]\n",
" )\n",
"ax_mag.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_mag_DF['V1_[A][dB]'], label='mitK')\n",
"ax_phase.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_phase_DF['V1_[A][deg]'], label='mitK')\n",
"\n",
"\n",
"ax_mag.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_mag_DF['V1_[A][dB]'], alpha=.4, label=\"eq\")\n",
"ax_phase.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_phase_DF['V1_[A][deg]'], alpha=.4, label='eq')\n",
"\n",
"ax_mag.legend()\n",
"ax_phase.legend()\n",
"plt.suptitle('Compersion Bode plots of Serial Inductors')\n",
"plt.tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Series Opposing Mutual Inductance from ALL ABOUT ELECTRONICS \"Mutually Coupled Inductors in Series (Derivation / Proof and Examples)\" @~ 7:17min"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/jpeg": 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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('49OL_3L7BFA', width=500, height=400, start=437)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### No Coupling"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In N_2 1H\n",
"L2 0 N_2 4H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"net_in & l1[1, 2] & l2[2, 1] & gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.9)\n",
"\n",
"\n",
"circ_nok=generate_netlist()\n",
"print(circ_nok)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_nok=mutual_tester(circ_nok, 'No Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### With Coupling"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In N_2 1H\n",
"L2 0 N_2 4H\n",
"K1 L1 L2 0.9\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"net_in & l1[1, 2] & l2[2, 1] & gnd\n",
"\n",
"k=K(ind1=l1, ind2=l2, coupling=0.9)\n",
"\n",
"\n",
"circ_k=generate_netlist()\n",
"print(circ_k)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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i03A6P0jqWVV9NrvjMeYsS4LGGGP8lrUONcYY47fyxD3BgIAADQsLS/f2iYmJBATY7wGTNez8MlkpI+fX8ePHVVX9+uTME0kwLCyMY8eOXbhgCmJiYmjXrl3mBWSMDzu/TFbKyPklIicyN5rcx69/ARhjjPFvlgSNMcb4LUuCxhhj/FaeuCdojDEpOXPmDLGxsZw8efLChXOhggULsm7dulTLhIaGEhUVRXBwcDZFlXtYEjTG5GmxsbFERERQsWJF3J5Z8pSjR48SEZFyn+aqyoEDB4iNjaVSpUrZGFnuYJdDjTF52smTJylatGieTIBpISIULVo0z9aEM8qvk6CqMmlpLPGJ1muOMXmZvybAs/z9/afGr5PgzPXbGfT1/dw3P4ZVsYe9DscYY0w28+sk2KFmeUIiFxKbMI0e4+Yzetp6Tp5JuPCGxhhj8gRPkqCIvCAi60VkpYh87Y6PdXbdcBHZLCIbRKRTVsYRIAHc3PAGjgcso2v9ArwxewtXvjKX37YeyMrDGmP8zLZt26hZsyY33XQT1atXp3///syaNYuWLVtSrVo1Fi1axKJFi2jRogUNGzbk0ksvZcOGDQAcP36cvn37Urt2bXr27EmzZs1YsmSJx+8o7/CqdehMYLg7cORzwHDgYXdQyH5AHZxRo2eJSHVVzbLq2XX1ruP5X5+nTtV19G3Um2GTV3LtWwu5sXkFHupcg4hQa1JsTF7x5HdrWLvrSKbus3aZSEZ2q3PBcps3b+bLL7/k3XffpUmTJkycOJF58+YxZcoUnn32WT788EPmzp1LUFAQs2bN4pFHHmHSpEmMGzeOwoULs3btWlavXk10dHSmxu/vPKkJquoMn4EjFwJR7nx34DNVPaWqfwCbgaZZGUuDkg0on788E1dPpFW1YswY0oZBLSvx8W/b6TRmDr9s+CsrD2+M8ROVKlWiXr16BAQEUKdOHS6//HJEhHr16rFt2zYOHz7MNddcQ926dRkyZAhr1qwBYN68efTr1w+AunXrUr9+fS/fRp6TE54THAR87s6XxUmKZ8W6y7KMiNC1VFfiCsSRkJhA/nxBjOhWm671S/PwpJXc/N5iejUsy+NX1aZweL6sDMUYk8XSUmPLKiEhIefmAwICzr0OCAggPj6exx9/nPbt2/P111+zbds263Q9m2RZEhSRWUCpZFY9qqrfumUeBeKBT9Kx/9uB2wGCgoKIiYlJd6xdCnehQIECzJ1z/mDdD0cr320J5tvlO5m5Zic31gqhSalAa25sLkpcXFyGzk+TMQULFuTo0aOexhAXF0diYuK5OM6cOcOJEyc4evTouXUHDhygSJEiHD16lDfffBNV5ejRozRu3JhPPvmExo0bs379elatWsWxY8fO7SshISFN7+/kyZN2HiYjy5KgqnZIbb2I3ARcBVyu/wxvvxMo51Msyl2W3P7fAt4CCA8P14z8ajo7FMmmA5uoVrTaeeuuuAzu3H2Eh75aybgVh+l4piRP96hLycjQdB/P+BcbSslb69atS7VHlexQoEABAgICzsURHBxMWFgYERER59Y98sgjDBw4kBdffJGuXbsiIkRERDBkyBAGDhxIs2bNqFmzJnXq1KFMmTLn9nWhHmPOCg0NpWHDhln6PnMj+Sf/ZONBRToDLwFtVXWfz/I6wESc+4BlgJ+AahdqGBMeHq4ZHU/wj4J/MGjKINbfvZ4axWr8q0x8QiLvzPuDl2ZuJF9QAI91rUXfxuWsVmguyJKgt9atW0etWrW8DiPdEhISOHPmDKGhoWzZsoUOHTqwYcMG8uVzbs+kNQkm9zmIyHFVDc+SwHMJr54TfA2IAGaKyHIReQNAVdcAXwBrgR+Bu7OyZaivTlU7IQifrv402fVBgQHc0bYKPz7QhlqlI3l40ipueOc3/jxwPDvCM8b4qePHj9OqVSsaNGhAz549GTdu3LkEaDLOk4Yxqlo1lXWjgFHZGA4AZSLK0L5SeyaumsjItiNTrOFVKhbOZ7c159PFf/Lfqevp9PIcHuxUg5surUhggNUKjTGZKyIiwp4LzEJ+3WNMUtfVvY5NBzexbPeyVMsFBAj9m1VgxpA2tKhSlKe/X0ufN35l015vb74bY4y5OJYEffSu1ZvggGA+W/1ZmsqXKRTGOwMb80q/aLbtP0aXsXMZ+9MmTscnZnGkxhhjMoMlQR+Fwwoz/YbpjGg7Is3biAjdo8sya2hbOtctzUszN3L1a/NYsePvrAvUGGM8JiJFRGSmiGxy/y2cQrmBbplNIjLQZ3kjEVnldpM5VpLcgxKR/4iIikixrHwflgSTaF+pPREhF9+cumiBEF69riETBjTm0PHT9Bw3n2enruPEaeuQ2xiTJw0DflLVajgt+YclLSAiRYCRQDOcVv8jfZLleOA2oJo7dfbZrhzQEfgzK98AWBJM1vjF43l+/vPp2vaK2iWZObQt1zYpx1tztnLlK3NYaB1yG2OSUbFiRfbv3+91GOnVHfjAnf8A6JFMmU7ATFU9qKqHcPqN7iwipYFIVV3oPif+YZLtxwAPAVn+DJ8lwWTM2zGP5+Y/x+mE0+naPjI0mP/2qs/E25qhQL+3FvLI16s4cvJM5gZqjDEZEyQiS3ym2y9i25Kqutud3wOUTKZMWWCHz+uzXWGWdeeTLkdEugM7VXXFRcSSbpYEk3Fd3es4eOIgM7bMyNB+Lq1SjB/vb8NtrSvx2aI/6fjSHH5evzeTojTG5BZnh1Lq378/tWrVok+fPhw/7jxj/Oqrr3LJJZdQr1491q9fD5DisEpr1qyhadOmREdHU79+fTZt2gTAxx9/fG75HXfcQUJCmm/DxKtqY5/pLd+VIjJLRFYnM3X3LefW5jJcaxOR/MAjQNobZmRQTuhAO8fpWKUjRcKKMHHVRK6qflWG9hWWL5BHu9ama/0yPPzVSga9v4Tu0WUYcVVtihYIufAOjDGZqt377f61rG+dvtzV5C6OnzlOl0+6/Gv9TdE3cVP0Tew/vp8+X/Q5b13MTTFpOu6GDRt45513aNmyJYMGDWLcuHEAFCtWjGXLljFu3Dj+97//8fbbb1OzZs1kh1V64403uP/+++nfvz+nT58mISGBNWvW8PnnnzN//nyCg4O56667+OSTTxgwYMBFfzZJpdb9pYjsFZHSqrrbvbyZ3JA7O4F2Pq+jgBh3eVSS5TuBKkAlYIXbTiYKWCYiTVV1TwbeSoosCSYjX2A++tTqw8erPubY6WOE58t4r0LR5Qrx3b2tGBezmdd/2czcTfsZ2a02VzcoY12vGeMHypUrR8uWLQG44YYbGDt2LAC9evUCoFGjRkyePBmAw4cPM3DgQDZt2oSIcOaMcyulRYsWjBo1itjYWHr16kW1atWIiYlh6dKlNGnSBIATJ05QokSJ7HhLU4CBwGj332+TKTMdeNanMUxHnLFkD4rIERFpDvwGDABeVdVVwLngRWQb0FhVs+zGqSXBFPSv358th7aw99heKuernCn7zBcUwAMdqnNl3dI8NGkl93+2nO9W7OKZHvUoVdA65DYmO6RWc8sfnD/V9cXyF0tzzS+ppD92z74+O6RSYGAg8fHOMKspDat0/fXX06xZM3744Qe6dOlybrSJgQMH8t///jddcWXAaOALEbkF2A70dd9XY2Cwqt7qJrungcXuNk+p6kF3/i7gfSAMmOZO2c7uCaagTYU2zBowi8qFMycB+qpRKoLJd17KY11rMW/zfq54aTYTf/uTxMTs78zcGJM9/vzzTxYsWADAxIkTadWqVYplDx8+TNmyzlCq77///rnlW7dupXLlytx33310796dlStX0q5dO7766iv++su5Gnnw4EG2b9+edW/EpaoHVPVyVa2mqh3OJjdVXaKqt/qUe1dVq7rTez7Ll6hqXVWtoqr3+Iwm5HuMillZCwRLghe0++huDp04lOn7DQwQbm1dmekPtKFu2YI88vUqrn97Idv2p380DGNMzlWjRg1ef/11atWqxaFDh7jzzjtTLPvQQw8xfPhwGjZseK52CPDFF19Qt25doqOjWb16NQMGDKBmzZo888wzdOzYkfr163PFFVewe/fuFPdtzufJUEqZLTOGUkpuqJtdR3dR4eUKPNP+GR5u9XAGIkydqvL54h2M+mEdZxIT+c8VNRjUqpJ1yJ1H2FBK3soJQylt27aNq666itWrV2f6vm0opYyxmmAqykSUoUVUC97+/W2y8seCiNCvaXlmDm1Lq6rFGTV1Hb3GzWf9niNZdkxjjDGWBC/otktuY/PBzcRsi8nyY5UqGMqEAY149bqGxB46QbdX5zFm5kZOxVvXa8bkZhUrVsySWqDJOEuCF9Cndh8KhRZiwrIJ2XI8EaFbgzLMHNqWq+qX4ZWfNtHt1Xn8/mfm35c0xhh/50kSFJEXRGS9iKwUka9FpJC7vKKInHBHmz834ryXwoLDuKHeDXyz/hviTsdl23GLhOdjzLXRvHtTY46ejKfX+F95+vu1HD8df+GNjTHnyQttHzLC399/aryqCc4E6qpqfWAjMNxn3RZVjXanwd6Ed75hrYax4Z4NFMhXINuPfVnNkswY0ob+zcrzzrw/6PzyXH7dnGs73DUm24WGhnLgwAG/TQSqyoEDBwgNtWeRk+PJw/Kq6tsp50KgT0plc4KykWU9PX5EaDDP9KjHVfXLMHzyKq5/+zf6NSnH8C61KBgW7GlsxuR0UVFRxMbGsm/fPq9DyRInT568YIILDQ0lKioq1TL+Kif0GDMI+NzndSUR+R04AjymqnO9Cet82/7exp0/3MnjbR7n0nKXehJD88pFmXZ/a8bM2siEOVv5ZcNfPNOjHlfUTq7zdmMMQHBwMJUqVfI6jCwTExNDw4YNvQ4j18qy5wRFZBZQKplVj6rqt26ZR4HGQC9VVREJAQqo6gERaQR8A9RR1X89K+AO+XE7QFBQUKOZM2emO9a4uDgKFEj9UueJhBP0XtCbNsXaMKzmv8aOzHZ/HE7g3dWn2XE0kaalArmhVgiRIfZcYU6UlvPLmPTKyPnVvn17v39O0LOH5UXkJuAO4HJVPZ5CmRjgQVVdktq+suph+aTu+O4OPlr5Ebv+s4tCoYXSfbzMciYhkTditvDqz5vJHxLIyG616RFd1jrkzmHsYXmTlTJyftnD8t61Du2MM2rw1b4JUESKi0igO18ZqAZs9SLG5NzW6DZOxJ9g4qqJXocCQHBgAPdeXo0f7mtFpWLhDPl8BYPeX8yuv094HZoxxuQKXrUOfQ2IAGYmeRSiDbBSRJYDX+H0RH4whX1ku0alGxFdKpq3lr6Vo1qaVSsZwVeDL2Vkt9os3HqQjmPm8NHC7dYhtzHGXIBXrUOrprB8EjApm8NJMxFhWMthbD+8nQRNIEhyQrsiR2CAcHPLSnSoVZLhk1fx+Der+W75Lkb3rkfl4nY/yhhjkpNzvsVziWvrXut1CKkqVyQ/H93SlC+XxvLM92u58pW5DLmiOre2qkRQoHUQZIwxvuxbMR1Oxp9k4qqJ2dqDzMUQEfo2LsesoW1pV6M4o6etp8e4+azdZR1yG2OML0uC6bBs9zL6T+7P56s/v3BhD5WIDOWNGxoxrv8l7Dl8kqtfm8eLMzZYh9zGGOOyJJgOLaJaULt47WzrVDsjRIQu9Uoza2hbukeX5dWfN9N17DyWbrcOuY0xxpJgOogIt11yG7/t/I1Ve1d5HU6aFMqfjxf7NuCDQU05cTqBPm/8ypPfreHYKeuQ2xjjvywJptON9W8kJDCE8UvGex3KRWlbvTjTh7RhQPMKvDd/G51ensPcTXmzT0VjjLkQS4LpVDR/UfrX68/yPctJ1ESvw7koBUKCeLJ7Xb4c3IJ8QQHc+M4iHvpqBYePn/E6NGOMyVaWBDNg7JVjmT9oPgGSOz/GJhWLMPW+1tzVrgqTlu2kw5jZ/Lh6j9dhGWNyAREpIiIzRWST+2/hFMoNdMtsEpGBPssbicgqEdksImPF7e9RRJ4QkZ0+48p2ycr3kTu/vXOI8HzhiAhHTh0hPjF33lsLDQ7koc41+fbulhQvEMLgj5dy9yfL2Hf0lNehGWNytmHAT6paDfjJfX0eESkCjASaAU2BkT7JcjxwG073mNWAzj6bjvEZV3ZqFr4HS4IZteavNUS9FMXkdZO9DiVD6pYtyLf3tOT/OtVg5rq9dHhpNpOWxuao7uGMMTlKd+ADd/4DoEcyZToBM1X1oKoewhlQvbOIlAYiVXWhOl8yH6awfZazJJhBtYrXokR4CV5e+LLXoWRYcGAAd7evytT7WlO1RAH+8+UKbnpvMbGHkh3kwxjj30qq6m53fg+Q3MCmZYEdPq9j3WVl3fmky8+6R0RWisi7KV1mzSyWBDMoQAK4v9n9LIhdwG+xv3kdTqaoWqIAX97RgievrsPibQfpNGYOHy7YZh1yG5P3BInIEp/pdt+VIjJLRFYnM3X3LefW5jLrC2I8UAWIBnYDL2bSfpNlSTAT3BR9E5Ehkbzy2yteh5JpAgKEgZdWZPoDbbikQmFGfLuGa99awJZ9ObOrOGNMusSramOf6S3flaraQVXrJjN9C+x1L2vi/vtXMvvfCZTzeR3lLtvpziddjqruVdUEVU0EJuDcS8wylgQzQURIBLc2vJUv137JvmN565m7ckXy8+GgpvzvmgZs3BvHla/M5fVfNnMmIXc9FmKMyXRTgLOtPQcC3yZTZjrQUUQKu5c1OwLT3cuoR0SkudsqdMDZ7c8mVldPYHVWvQGwJJhphrYYyuLbFlM8vLjXoWQ6EaFPoyhmDm3D5TVL8ML0DfR4fT6rdx72OjRjjHdGA1eIyCagg/saEWksIm8DuOPBPg0sdqenfMaIvQt4G9gMbAGmucufdx+dWAm0B4Zk5ZuQvND6Lzw8XI8dO5bu7WNiYmjXrl3mBZTH/bh6N499s4ZDx09zR5vK3Hd5NUKDA70OK8ey88tkpYycXyJyXFXDMzei3MWzmqCIPO22/lkuIjNEpIy7XNwHJze76y/xKsaLdfzMcQZ8PYD3fn/P61CyVOe6pflpaFt6NSzLuJgtdBk7lyXbDl54Q2OMyWG8vBz6gqrWV9Vo4HtghLv8Sv55ePJ2nJZCuUJYUBhr963lhV9fyPPP1xXMH8wL1zTgw0FNOXUmkWveXMDIb1cTZx1yG2NyEc+SoKr6jvAazj/Na7sDH6pjIVAoyY3SHEtEuL/Z/azbv46ZW2d6HU62aFO9ODOGtGFgi4p8uHA7ncbMYfbGvNU4yBiTdwV5eXARGYXTKugwzg1QSPnhyt1Jtr0dp6ZIUFAQMTEx6Y4jLi4uQ9v7KplYkiL5ivD4D4+Tr36+TNlnbtAuEso2DeXd1ScZ+O4iWpYJ4rqa+SiQT7wOzXOZeX4Zk5SdXxmTpQ1jRGQWUCqZVY+6z5mcLTccCFXVkSLyPTBaVee5634CHlbVJSkdJ6c1jHl69tOMiBnB2rvWUqt4rUzbb25w8kwCr/28mTdmb6FQ/mCe6l6XLvVyRUU+y1jDGJOVrGFMxmRpTVBVO6Sx6CfAVJyOVlN6uDLXuKPxHRw+dZhCoYW8DiXbhQYH8mCnGlxZrxQPT1rJXZ8so3OdUjzVvQ4lIkO9Ds8YY87jZevQaj4vuwPr3fkpwAC3lWhz4LBP/3S5QonwEvyv4/8oHeG/NaA6ZQryzV0tebhzTX7e8BcdXprNF0t25PkGQ8aY3MXL1qGj3T7oVuL0InC/u3wqsBXnAcoJOA9U5kq//PFLnn9cIjVBgQHc2a4KP97fmpqlInnoq5Xc+M4idhy0DrmNMTmDl61De7t90NVX1W6qerbfOFXVu1W1iqrWS+1eYE735tI3ue/H+zhw/IDXoXiqcvECfHZ7c57uXoff/zxExzFzeG/+HyRYh9zGGI9Zt2lZ6PE2j3Ps9DHGLBzjdSieCwgQbmxRkRlD29KschGe/G4t17zxK5v/Oup1aMYYP2ZJMAvVKVGHa+pcw9jfxnLwhPWoAlC2UBjv3dSEMdc2YOv+Y3R5ZR6v/bzJOuQ2xnjCkmAWe7zN4xw9fZQxC6w2eJaI0LNhFLOGtqVjnZL8b8ZGur06j1Wx1iG3MSZ7WRLMYnVL1OWuxndRJqKM16HkOMUKhPDa9Zfw1o2NOHjsNN1fn8d/p63j5JkEr0MzxvgJT3uM8Revd33d6xBytI51StGsclH+O3Udb87eyow1exndqx7NKhf1OjRjTB5nNcFsEp8Yz0crPuLQiUNeh5IjFQwLZnTv+nxyazPiExO59q2FPPbNKo6ePON1aMaYPMySYDZZv389A74ZwMsLX/Y6lBytZdViTH+gDbe0qsQnv/1JpzFz+GX9X16HZYzJoywJZpO6JerSq1YvXv7tZasNXkD+fEE8flVtJt15KeEhQdz8/mKGfL6cg8dOex2aMSaPsSSYjUa0GcGRU0d45bdXvA4lV7ikfGG+v68V911eje9W7OKKl2bz3Ypd1vWaMSbTWBLMRg1KNaBnzZ68vPBl/j75t9fh5AohQYEMvaI6393birKFw7j309+57cOl7D1y0uvQjDF5gCXBbDai7QiiIqPYcXjHhQubc2qVjmTynZfySJeazN20jw4vzeazRX9ardAYkyGWBLNZdKloVt25inol63kdSq4TFBjA7W2qMP2BNtQuHcmwyavo//Zv/HnAOuQ2xqSPJUEPiAhHTh1h7va5XoeSK1UsFs6ntzXn2Z71WBl7mI4vz+btuVutQ25jzEWzJOiRu6feTZeJXdgbt9frUHKlgADh+mblmTm0DZdWKcYzP6yj1/hf2bDHOuQ2JjuISBERmSkim9x/C6dQbqBbZpOIDPRZ3khEVonIZhEZKyLis+5eEVkvImtE5PmsfB+WBD3yWOvHOBl/kpExI70OJVcrXTCMdwY25pV+0ew4eJyrXp3Ly7M2cjreOuQ2JosNA35S1WrAT+7r84hIEWAk0AxoCoz0SZbjgduAau7U2d2mPc5A6w1UtQ7wv6x8E5YEPVKjWA3ubHwnE5ZNYM1fa7wOJ1cTEbpHl2XmkDZcWbc0L8/aRLdX57Fix99eh2ZMXtYd+MCd/wDokUyZTsBMVT2oqoeAmUBnESkNRKrqQnVat33os/2dwGhVPQWgqlnaW4YnSVBEnhaRlSKyXERmiEgZd3k7ETnsLl8uIiO8iC+7jGg7goh8ETw06yGvQ8kTihYIYex1DXl7QGMOnzhDz3HzGfXDWk6ctg65jckCJVV1tzu/ByiZTJmygG9T+Fh3WVl3PulygOpAaxH5TURmi0iTzA37fF7VBF9wR5SPBr4HfJPdXFWNdqenvAkvexTLX4zH2jxGfGI8x89YC8fM0qF2SWYMbUO/puWZMPcPOr8yhwVbDngdljE5UZCILPGZbvddKSKzRGR1MlN333JubS6zWqYFAUWA5sD/AV/43i/MbJ6MIqGqR3xehpN5H16uM7TFUB689EGvw8hzIkODebZnPa6qX5rhk1dx3YSFXNe0PMO71CQyNNjr8IzJKeJVtXFKK1W1Q0rrRGSviJRW1d3u5c3kLlvuBNr5vI4CYtzlUUmW73TnY4HJbmJdJCKJQDFg34XfzsUTrx42FpFRwADgMNBeVfeJSDtgEs6HsAt4UFWTvWHm/mK5HSAoKKjRzJkz0x1LXFwcBQoUSPf2mWHPyT3sPrGbhoUbehpHXnQqQfl60xmmbztDoRBhYJ18RJfIvt9/OeH8MnlXRs6v9u3bH1fV8PRsKyIvAAdUdbSIDAOKqOpDScoUAZYCl7iLlgGNVPWgiCwC7gN+A6YCr6rqVBEZDJRR1REiUh2n0U15zaJklWVJUERmAaWSWfWoqn7rU244EKqqI0UkEkhU1TgR6QK84rY8SlV4eLgeO3Ys3bHGxMTQrl27dG+fGS774DLW7V/Hpns3USCffWFmhRU7/ubhSStZv+coVzcow8hutSlaICTLj5sTzi+Td2Xk/BKRjCTBosAXQHlgO9DXTW6NgcGqeqtbbhDwiLvZKFV9z13eGHgfCAOmAfeqqopIPuBdIBo4jVMZ+jldbzAt78PrbqdEpDwwVVXrJrNuG9BYVfento+8kAQX7FjApe9eyog2I3iy/ZOexpKXnY5PZHzMFl77ZRMRocGM7FabqxuUIQtvOeSI88vkXV4lwbzCq9ahvrW77sB6d3mpszdARaQpTnx+0aKhRbkW9K3Tlxd+fYHYI7EX3sCkS76gAO7vUI0f7mtN+SL5uf+z5dz6wRJ2Hz7hdWjGGA941Tp0tNvCaCXQEbjfXd4HWC0iK4CxQL+sug6cE42+fDQJmsBjPz/mdSh5XvWSEUy681Ie61qL+Vv2c8VLc/jkt+0kWtdrxvgVr1qH9k5h+WvAa9kcTo5RqXAlhjYfyuFTh0nURALE+jLISoEBwq2tK9OxdimGTV7Jo1+v5rsVuxjdqz4Vi/n1FSJj/IZ9y+Ywz17+LOO6jrMEmI3KF83PJ7c247ne9Viz6widXp7DW3O2EJ9gXa8Zk9fZN20Oc7aBxoIdC4jZFuNtMH5ERLi2SXlmDW1Lm+rFeXbqenqP/5X1e45ceGNjTK5lSTAHStRE7vj+DgZ8PYC403Feh+NXSkaG8taNjXjt+obEHjrBVWPn8dLMjZyKt67XjMmLLAnmQAESwLiu49hxZAdPzc7TPcflSCLCVfXLMGtoW7o1KMPYnzZx1dh5LPvzkNehGWN8iMiRC0xHRWRjavuwJJhDtSrfilsa3sKYhWNYtXeV1+H4pcLh+RhzbTTv3dSEuFPx9B7/K09/v5bjp+O9Ds0Y49iiqpGpTBFAqg+RX7B1qIj0SkMgJ1V1alqjNmnzXIfn+Gb9N9z5w53MuXmONZbxSPuaJZgxpA3P/bied+b9wYy1exjdqz4tqxbzOjRj/F2yTxpcTJm0PCIxAfgWSK1LjTY4fb+ZTFQ0f1Fe6fwKu47uskcmPBYRGswzPerRrX4Zhk1eRf+3f6Nfk3IM71KLgmHWIbcxXlDVrRktk5YkOE1VB6VWQEQ+TsN+TDr0r9/f6xCMj2aVizLt/taMmbWRCXO28suGv3imRz2uqJ3cUGrGmOwgIkf592hEh4ElwH9SS4QXrFqo6g2ZUcZkzFdrv2LYrGFeh2GA0OBAhl9Zi2/ubknh/Pm47cMl3DNxGfvjTnkdmjH+6mWcsQfL4gzL9CAwEfgMpzPuFKXp+pqIVBCRYu58cxF5UER6ZiRic3GW7FrCc/OfY+72uV6HYlz1owrx3b2t+M8V1ZmxZi8dXprN17/H4kc9/RmTU1ytqm+q6lFVPaKqbwGdVPVzoHBqG14wCYrICOBnYKGIPIOTcYsB94nIyxkO3aTJ420ep0LBCtz5w52cTjjtdTjGFRwYwL2XV+OH+1pRqVg4Qz5fwaD3F7Prb+uQ25hsdFxE+opIgDv1BU6661L9VZqWmmA/oBbQGGcAxMtUdRhwBZDiqMMmc4XnC+fVK19lzb41jFkwxutwTBLVSkbw1eBLGXFVbRZuPUjHMXP4aKF1yG1MNukP3Igzuv1ed/4GEQkD7kltw7QkwZOqelpV/8Z5JuM4gKrG4wx4aLJJtxrd6FGzB0/OfpLdR3d7HY5JIjBAGNSqEjOGtCG6XCEe/2Y1/SYsZM8x64PUmKykqltVtZuqFlPV4u78ZlU9oarzUts2La1DC7nPCgoQ6fPcoAAFMxi7uUivdH6FhbELKVWglNehmBSUK5Kfj25pypdLY3nm+7U8vj2evwts4dZWlQgKtMdcjMlsIlIdGA+UVNW6IlIf5z7hMxfaNi3/I2cD3YCrgDnuvO9rk43KFyxP3zp9ERGOnznudTgmBSJC38blmDW0LfWLBzJ62np6jJvP2l3WIbcxWWACMBw4A6CqK3Fu5V1QWh6RuDm1KUNhAyLyHxFRn9anIiJjRWSziKwUkUsyeoy86Ot1X1Px5YpsPXTBZ0WNh0pEhnJPdAjj+l/CnsMnufq1ebw4Y4N1yG1M5sqvqouSLEtT/4Zp6TZtaGrrVfWltBwohX2XwxlZ/k+fxVcC1dypGU4Vt1l6j5FXNSrTiNMJpxnw9QBm3zSbwIBAr0MyKRARutQrTYvKRXnmh3W8+vNmpq3ew3O969OoQqqtt40xabNfRKrgtgQVkT5AmhpOpOVyaIQ7NQbuxHkYsSwwGMhoLW0M8BDnN2HtDnyojoU49yRLZ/A4eU75guV5vcvrzN8xn+fnP+91OCYNCofn48W+DfhgUFNOnE6gzxu/8sSUNRw7ZR1yG5NBdwNvAjVFZCfwAE6+uqC0XA59UlWfxHkK/xJV/Y+q/gdoBJRPb8Qi0h3YqaorkqwqC+zweR3rLjNJXF/veq6tcy0jYkawbPcyr8MxadS2enGmD2nDjc0r8P6v2+j08hzmbtrndVjG5Fpu69AOQHGgpqq2UtVtadk2La1DzyrJ+Y9EnHaXpUhEZgHJNWN8FHgE51JouojI7cDtAEFBQcTExKR3V8TFxWVoey9dX/B6fgn+hXd+eocjUdboIidK6fy6rCBENQvl3dUnufGdRbQuG0S/mvkID06tr3pjzufV95eIFAE+ByoC24C+qvqvQTdFZCDwmPvyGVX9wF3eCHgfCMMZgOF+VVUR+Ryo4ZYvBPytqtEpxJDs7ToR5/9QWm7XSVq7eBKRR4G+wNfuoh7A56r63zTt4Px91QN+As42b4wCdgFNgSeBGFX91C27AWinqile3w0PD9djx1IdMipVMTExtGvXLt3be+3IqSNEhkR6HYZJwYXOr5NnEhj70ybenLOVIuH5eLp7XTrXtUdgTNpk5PtLRI6rang6t30eOKiqo0VkGFBYVR9OUqYITifWjXFuey0FGqnqIRFZhNMBy284SXCsqk5Lsv2LwGFVTXZ0cREZ6c7WAJoAU9zX3YBFaenXOs0PLanqKGAQcMidbk5PAnT3tUpVS6hqRVWtiHPJ8xJV3YPzJga4rUSb43wA9mR4Ks4mwLnb5/LLH794HI25WKHBgTzUuSbf3t2S4gVCGPzxUu76ZCl/HT154Y2N8U534AN3/gOcilFSnYCZqnrQrSXOBDq77TwiVXWhOjWxD5NuL051ri/waUoBZMbturS0Dl2mqpe4B1yKk8lTLJMJpgJdgM04NcUMP4bhDxI1kbun3s3+4/tZdecqiuYv6nVI5iLVLVuQb+9pyVtztvLKT5uYv/kAj19Vm96XlD13eceYTBYkIkt8Xr/ldj6dFiV9Kih7SP72WEptPMq680mX+2oN7FXVTWmJhYu8XXdWWu4J1hKRlamsz3DPMW5t8Oy84rT0MRchQAL4sOeHNJ3QlDu+v4Mvr/nSvjhzoeDAAO5uX5VOdUoxbNJKHvxyBVNW7OLZnnWJKpzf6/BM3hOvqo1TWnmBdh3nuPfyMruj3OtIpRaYxIfAIhHxvV33flo2TEsSrJmGMvbkbw4QXSqap9s/zbCfhvH+8ve5uaFVonOrqiUK8MUdLfho4Xae+3E9HcfM4eHONbmxeQUCAuzHjckebovLZInIXhEpraq73cubfyVTbCfQzud1FBDjLo9Ksnynz76DgF44lzXTEucoEfkRaOUuullVf0/Ltml5RGJ7GqbYC+3HZI8HL32Q9hXbc9fUu9h8cLPX4ZgMCAgQBl5akRlD2tC4YhFGTllD3zcXsGVfnNehGQNO+42B7vxA4NtkykwHOopIYREpjPNEwHT3MuoRd3xaAQYk2b4DsP5CuUVEzj0bpqpLVfUVd/o9uTLJuZhHJEwuEBgQyGd9PmPiqolULlzZ63BMJogqnJ8Pbm7C5GU7eer7tVz5ylzuv7wat7epTLB1yG28Mxr4QkRuAbbjNGJBRBoDg1X1VlU9KCJPA4vdbZ5S1YPu/F3884jENHc6qx9puxSa4dt1aX5EIifz90ckUrPzyE5KFShl3ap5KDPPr31HTzFyymqmrtpD7dKRPN+nPnXL2mAu/syrRyRyAhGpkIZiCanVKO1nZB626+gu6r9RnxG/jPA6FJNJikeEMK5/I9644RL2xZ2i++vzee7H9Zw8Y7fljf/JjNt1lgTzsDIRZehdqzfPznuWr9d9feENTK7RuW5pZg1pS6+GZRkfs4Uur8xl8baDF97QGHMeS4J53KtXvkrTsk0Z+M1A1u9f73U4JhMVzB/MC9c04KNbmnI6IZFr3ljAiG9XE2cdchuTZpYE87iQoBC+uuYrQoNC6fl5T46csv5F85rW1Yoz/YE23NyyIh8t3E6nMXOI2ZBca3VjTFKWBP1AuYLl+OKaL7ik9CUEiP3J86LwkCBGdqvDV4MvJSxfIDe9t5ihXyzn0LHTF97YGD9m34h+ol3FdnzS6xMK5CtAQqI1osirGlUozA/3teLey6oyZfkurhgzm6mrdpMXWoEbkxUsCfqZHYd30OitRny7PrnnWk1eEBIUyH861mDKPa0oXTCMuz5ZxuCPl/LXEeuQ25ikLAn6mSJhRQgJCqHfpH4s2LHA63BMFqpdJpKv77qU4VfWJGbDPjq8NJsvFu+wWqExPiwJ+pnwfOF8d913lI0oS7dPu7HxwEavQzJZKCgwgDvaVmHa/a2pWTqShyat5MZ3FrHj4PELb2yMH7Ak6IdKhJfgxxt+JEAC6PxxZ/bG7fU6JJPFKhcvwGe3NeeZHnVZvuNvOo6Zw7vz/iAh0WqFxr9ZEvRTVYtU5fvrv6d0RGkSNdHrcEw2CAgQbmhegRlD2tC8chGe+n4t17zxK5v2HvU6NGM8Y0nQjzUt25R5N8+jdERp4hPjiU+0h6z9QZlCYbx7UxNevjaaP/Yfo+vYebz60ybOJNiPIeN/PE2CIvIfEVERKea+bicih0VkuTtZp5dZTERISEyg9xe9ueO7O6zRhJ8QEXo0LMvMoW3pVLcUL87cSLdX57Ey9m+vQzMmW3mWBEWkHM7YUn8mWTVXVaPd6SkPQvM7gQGBNCjZgHeXv8uTs5/0OhyTjYoVCOHV6xoyYUBjDh0/TY/X5/PfqeusQ27jN7ysCY4BHgKs6pEDPNnuSW6OvpknZz/JhKUTvA7HZLMrapdkxpC2XNukHG/O2Urnl+ewcOsBr8MyJst5Mp6giHQHLlPV+0VkG9BYVfeLSDtgEhAL7AIeVNU1KezjduB2gKCgoEYzZ85MdzxxcXEUKFAg3dvnFfGJ8Ty25jEWHVzEIzUfoUPJDl6HlCfktvNr7YEE3lt9in0nlPblguhbIx9hQeJ1WCYFGTm/2rdvn6vHE8wMWZYERWQWUCqZVY8CjwAdVfVwkiQYCSSqapyIdAFeUdVqFzqWDaqbeY6fOc6ArwcwrNUwGpdp7HU4eUJuPL9OnE7gxRkbeHf+H5SMDGVUz7pcVrOk12GZZPjzoLqZIcsuh6pqB1Wtm3QCtgKVgBVuAowClolIKVU9oqpx7vZTgeCzjWZM9sgfnJ+v+n51LgFu2L/B44iMF8LyBfLYVbWZdOelRIQGMej9JTzw2e8ctA65TR6T7fcEVXWVqpZQ1YqqWhHn0uclqrpHREqJiACISFM3Prsx4ZEPln9A3fF1+Wb9N16HYjzSsHxhvr+3NfdfXo0fVu2mw0uzmbJil7UiNnlGTntOsA+wWkRWAGOBfmr/2zzTs1ZPGpdpTN8v+/Ldhu+8Dsd4JF9QAEOuqM5397aiXOEw7vv0d277cCl7DluH3Cb38zwJujXC/e78a6paR1UbqGpzVf3V6/j8WWRIJD/2/5HoUtH0+bIP0zZN8zok46GapSKZfFdLHu1Si3mb93HFS7P5dNGfVis0uZrnSdDkbAVDCzL9hunULVGX3l/0ZvfR3V6HZDwUGCDc1qYyP97fhjplIxk+eRXXT/iN7QfS3zDN5E4iUkREZorIJvffwimUG+iW2SQiA32WNxKRVSKyWUTG+twKixaRhW6HKUvcW2NZxpKguaDCYYWZccMMPu71MaUjSnsdjskBKhYLZ+KtzXm2Zz1W7zxMp5fn8PbcrdYht38ZBvzktuD/yX19HhEpAowEmgFNgZE+yXI8cBtQzZ06u8ufB55U1WhghPs6y1gSNGlSNH9RetXqBcCPm39k4qqJHkdkvBYQIFzfrDwzhrahZZViPPPDOnqN/5UNe6xDbj/RHfjAnf8A6JFMmU7ATFU9qKqHgJlAZxEpDUSq6kK33ceHPtsrEOnOF8R5ZjzLWBI0F+31xa/Tf3J/Xl74stehmBygdMEw3h7YmFf6RbPj4HGuenUuL8/ayOl465A7jyupqmfvj+wBknuQtCyww+d1rLusrDufdDnAA8ALIrID+B8wPBNj/hdLguaifXnNl/Su1Zsh04cwbNYwaxhhEBG6R5dl5pA2XFm3NC/P2kS3V+exYsffXodmUhfk3nc7O93uu1JEZonI6mSm7r7l3NpcZn0R3AkMUdVywBDgnUzab7IsCZqLFhoUyud9Pmdwo8E8N/85Bk0ZZMMwGQCKFghh7HUNeXtAYw6fOEPPcfMZ9cNaTpy2DrlzqHhVbewzveW7MqVOT1T1W2Cve1kT99+/ktn/TqCcz+sod9lOdz7pcoCBwGR3/kuce4lZxpKgSZfAgEDGdR3HyLYjCQ4IJlACvQ7J5CAdapdkxtA29Gtanglz/6DzK3NYsMX6vchjpuAkLNx/v02mzHSgo4gUdhvEdASmu5dRj4hIc7dV6ACf7XcBbd35y4BNWfUGAIKycucmbxMRnmj3BKqKiLDl4BYKhxWmSFgRr0MzOUBkaDDP9qzHVfVLM3zyKq6bsJDrmpZneJeaRIYGex2eybjRwBcicguwHegLICKNgcGqequqHhSRp4HF7jZPqepBd/4u4H0gDJjmTuC0GH1FRIKAk7gDJWQVS4Imw0SE+MR4uk7sSoAEMOW6KVQtUtXrsEwOcWmVYvx4fxvGzNrI23O38vP6vYzqUY8Ota1D7txMVQ8AlyezfAlwq8/rd4F3UyhXN5nl84BGmRpsKuxyqMkUQQFBvHHVG/x17C+aTGhivcuY84TlC+SRLrWYfFdLCoXl49YPl3Dfp79zIO6U16EZP2dJ0GSadhXbseT2JVQsVJGuE7syas4oazlqzhNdrhDf3duKIR2qM2210yH3t8t32nliPGNJ0GSqioUqMn/QfK6vdz0/bvnRWo2af8kXFMD9Harxw32tqVA0nPs/W86tHyxh9+ETXodm/JAlQZPp8gfn56OeHzGt/zSCA4PZf3w/Gw9s9Dosk8NULxnBpDsv5bGutZi/ZT9XvDSHT37bTqJ1vWaykSVBkyVEhAL5CgBw99S7aTKhCd9v/N7jqExOExgg3Nq6MjMeaEv9qII8+vVqrn97Idv2W4fcJntYEjRZ7vkOz1OlcBWu/vRqHv/5cbtEav6lfNH8fHJrM0b3qseanUfo9PIc3pqzhfgE63rNZC1LgibLVShUgfmD5jMweiDPzH2G1u+1ZsfhHRfe0PgVEaFf0/LMHNqW1tWK8+zU9fQe/yvr9xzxOjSTh3mSBEXkCRHZ6Y4XtVxEuvisG+6OL7VBRDp5EZ/JfGHBYbzX/T0+7f0pcafjCM8X7nVIJocqVTCUCQMa8dr1DYk9dIKrxs7jpZkbORVvXa+ZzOdlTXCMqka701QAEakN9APq4IwtNU7E+uPKS/rV7ceKwSsoElaEMwlnGPnLSA6fPOx1WCaHERGuql+GWUPb0q1BGcb+tImrxs5j2Z+HvA7N5DE57XJod+AzVT2lqn8Am8nizlNN9gsQ57Sb9+c8Rs0dRfSb0fy641ePozI5UeHwfIy5Npr3bmpC3Kl4eo//lae+W8vx03Zf2WQO8eIhVRF5ArgJOAIsAf6jqodE5DVgoap+7JZ7B5imql8ls4/bcfuUCwoKajRz5sx0xxMXF0eBAgXSvb1JvzWH1zBq/Sj2ntzLjRVu5IbyNxAUkLd687PzK3OciFe+3HCan3fEUzxMuLluCLWL2oWijJxf7du3P66qfn1vIsuSoIjMAkols+pRYCGwH2f8qaeB0qo66GKSoK/w8HA9diz9TapjYmJo165durc3GXPk1BHumXoPH638iP71+vNxr4+9DilT2fmVuX7beoBhk1fxx/5j9GtSjuFdalEwzH875M7I+SUifp8Es+wnt6p2SEs5EZkAnH2ALKWxp0weFhkSyYc9P6RXrV6Ui3T+/EdOHUEQIkIiPI7O5DTNKhdl2v2teXnWJibM3crP6//imR516Vgnud/cxqTOq9ahpX1e9gRWu/NTgH4iEiIilYBqwKLsjs94o0fNHjQq43Qe/+CMB6k9rjbfbfjO46hMThQaHMiwK2vyzV0tKVoghNs/WsrdE5ex76h1yG0ujlcNY54XkVUishJoDwwBUNU1wBfAWuBH4G5VtXbRfmhQw0EUCi3E1Z9dTd8v+7L76G6vQzI5UL2ogky5pyUPdqzOzDV7uWLMbL7+PdY65DZp5kkSVNUbVbWeqtZX1avdUYbPrhulqlVUtYaq2ng8fqp5VHOW3b6MZy97likbplDr9VrM2DLD67BMDhQcGMA9l1Vj6v2tqFwsnCGfr+Dm9xez82/rkNtcWE57RMKYc4IDgxneejir7lxFq/KtqFG0BgAn4096HJnJiaqWiODLwZfyRLfaLPrjIB1fms1HC7ZZh9wmVZYETY5XrWg1vr/+eyoUqoCq0u3TbvT5og9/HPrD69BMDhMYINzUshLTH2jDJRUK8/i3a+j31kK27ovzOjSTQ1kSNLlKoibStkJbpm2eRq3Xa/HYz49x7LSNOGDOV65Ifj4c1JQX+tRn/Z4jdH5lLuNjrENu82+WBE2uEhgQyGNtHmPDPRvoU7sPo+aOosZrNVi2e5nXoZkcRkS4pnE5Zg1tS/saxXnux/X0GDeftbusQ27zD0uCJleKiozi414f8+ugX2lYuiHVilQDIPZILIlqv/bNP0pEhvLmjY0Z1/8S9hw+xdWvzeN/0zdw8ow1PDeWBE0u16JcC7677jsiQiJISEygw4cdaPBGA75Y84UlQ3OeLvVKM2toG7pHl+W1XzbTdexclm4/6HVYxmOWBE2eMqLtCOIT47n2q2upN74en63+jIRE+8VvHIXy5+PFvg34YFBTTp5JpM8bC3hiyhqOnbIOuS+WiBQRkZkissn9t3AK5Qa6ZTaJyECf5Y3c58U3i8hYERF3eQMRWeCu+05EIrPyfVgSNHlGYEAg19e7ntV3rubT3p8CcN2k6/h2w7ceR2ZymrbVizN9SBsGNK/ABwu20XHMHOZs3Od1WLnNMOAnVa0G/OS+Po+IFAFGAs1wRgQa6ZMsxwO34fQMVg1n+DyAt4FhqloP+Br4v6x8E5YETZ4TGBBIv7r9WHXnKr7t9y3da3QHYMLSCYxbPI4TZ+whagMFQoJ4sntdvryjBSHBAQx4dxEPfrmCw8fPeB1abtEd+MCd/wDokUyZTsBMVT2oqoeAmUBnt+vMSFVdqE73Ph/6bF8dmOPOzwR6Z034DkuCJs8KkACurnE1gQHOcDvfb/qeu6feTYWXK/Ds3Gf5++Tf3gZocoTGFYsw9b7W3N2+Cl//vpMOY2bz42q/6aYvSESW+Ey3X8S2JX16+9oDlEymTFlgh8/rWHdZWXc+6XKANTgJFuAazh9UIdNZEjR+45trvyFmYAyNyjTi0Z8fpdyYcrz7+7teh2VygNDgQP6vU02m3NOSEhEhDP54GXd+vJS/jub53oniVbWxz/SW70oRmSUiq5OZuvuWc2tzmdU1zyDgLhFZCkQApzNpv8nKW6OXGpMKEaFtxba0rdiW5XuW8/z856lcuDIAfx7+kz1xe2hSpgnu/Xnjh+qUKcg3d7dkwtytvDxrE79uOcBjXWvRp1GUX54XqQ2JJyJ7RaS0qu52L2/+lUyxnUA7n9dRQIy7PCrJ8p3uMdcDHd1jVAe6ZuAtXJDVBI1fii4VzcTeE2lXsR0Ar/72Ks3ebkaTCU14Z9k7HD9z3NsAjWeCAwO4q11Vpt3fmuolC/B/X61kwLuL2HHQzokkpgBnW3sOBJJrgTYd6Cgihd0GMR2B6e5l1CMi0txtFTrg7PYiUsL9NwB4DHgjK9+EJUFjgMfbPs7rXV7nZPxJbv3uVsq+VJbhs4Z7HZbxUJXiBfj89hY83b0Oy7YfotPLc3h//h/WIfc/RgNXiMgmoIP7GhFpLCJvA6jqQeBpYLE7PeUuA7gLpyXoZmALcHbUoOtEZCOwHtgFvJeVb0Lywrhb4eHheuxY+vuPjImJoV27dpkXkMm1VJW5f85l/JLxROaL5M1ubwLw9bqvuaLKFRTIV+Ci92nnV+4Xe+g4j369mtkb99G4QmFG965P1RIXfy5khYycXyJyXFXDMzei3MWrkeWfEJGdIrLcnbq4yyuKyAmf5VlaDTYmKRGhTYU2fNr7U964yjn9Vv+1ml5f9KLk/0rSf3J/pm2aRnyiPVztT6IK5+f9m5vwUt8GbN4XR5dX5vL6L5s5Yx1y53peXg4do6rR7jTVZ/kWn+WDPYvO+L2zDSFqF6/N3JvncmP9G5m2aRpdJnahzItlWLxzsccRmuwkIvS6JIqZQ9pyRe2SvDB9A91fm8/qnYe9Ds1kgN0TNOYCAiSAVuVb8cZVb7DnwT182+9bOlTuQK3itQB4e9nbPPDjA/z8x8+cSbAHrfO64hEhvN7/Et64oRH74k7R/fX5PPfjeuuQO5fyMgneIyIrReTdJH3OVRKR30Vktoi09iw6Y5KRLzAfV9e4mom9J567P7jxwEbeWPIGl394OcVfKM51k67jyzVfehypyWqd65Zi1pC29LkkivExW+jyylwW/WEdcuc2WdYwRkRmAaWSWfUosBDYj/Nw5dNAaVUdJCIhQAFVPSAijYBvgDqq+q8BwNyeDW4HCAoKajRz5sx0xxoXF0eBAjnjJrfJnU4knGDpoaX8euBXFh5YSJUCVXih/gsAfP/n9zQs3pCyYWUvsBeTW63Zn8B7a06x/4RyWfkgrqmej7Cg7HmuMCPfX+3bt/f7hjGetw4VkYrA96paN5l1McCDqroktX1Y61CTkyRqIgeOH6B4eHHn3xeKoyi1itWiW/VudKvRjRZRLc5152byhuOn4/nf9I289+sflI4MZVSverSvUSLLj2utQzPGq9ahpX1e9gRWu8uLi0igO18Zp2fxrdkfoTHpFyABFA8vDkDR/EX5pOknvNL5FcpGluWlhS/R+r3WvLXU6Z3q6Kmj7DtmoxfkBfnzBTGiW22+Gnwp+UOCuPm9xQz9fDmHjmVpr18mg7zqNu15EYnGuRy6DbjDXd4GeEpEzgCJwGCfByuNyZVKh5XmumbXcV+z+zh88jDTt0ynVflWAExaN4mbv72ZOsXr0LZCW9pVbEebCm0oWSC5vohNbtCoQmF+uK8Vr/+8mXExW5izaR9PXF2HrvVK+2XXazmd55dDM4NdDjU5WWrn18YDG5m0dhIx22OY/+d8jp1xzuO9D+6lRHgJ1u1bR0hQCJUKVbIv0Fxo3e4jPDxpJStjD9Oxdkme6VGXEpGhmXoMuxyaMdaBtjEeql60OsNbD2d46+GcSTjDst3LWLZ7GSXCnXtJj/3yGJPXTaZEeAmaRzWnednmtCrfitYVrOF0blCrdCST77yUd+b9wUszN3L5S7N5vGttrmnsnx1y50SWBI3JIYIDg2kW1YxmUc3OLXuq3VNcUfkKFsYuZEHsAqZsmEKTMk1YdNsiAJ6d+yyRIZFcUvoSGpRsQHg+v/5RnyMFBQZwR9sqdKxTiocnreShSSuZsmIX/+1Vj3JF8nsdnt+zJGhMDlanRB3qlKjD4MZO50kHjh/gr2POiDWqyoRlE9j29zYABKF60erc3uh2hrYYCsDfJ/+mUGghL0I3SVQqFs5ntzVn4qI/GT1tPR3HzOH/OtVg4KUVCQywWqFXLAkak4sUzV+UovmLAk43Xlvv28rOozv5fffvLNu9jN/3/E5wQDAAh04cosjzRShfsDwNSzXkktKX0LBUQ1qUa0Gx/MW8fBt+KyBAuKF5BS6rWYJHv17FU9+v5buVu3i+d32qlYzwOjy/ZEnQmFxMRIiKjCIqMopuNbr9a/3zHZ7n9z1OgpyyYQqK8kbXN7ij8R1sPbSVMQvGUKdEHWoXr03t4rUtOWaTMoXCePemJny7fBdPfreGrmPnce9lVRncrgrBgdabZXayJGhMHlU4rDD/1/L/zr2OOx3Hij0rqFy4MgBbDm7hgxUfcPT00XNliucvzrf9vqVFuRZsObiF1X+tpkqRKlQuXJn8wXb/KjOJCD0alqVVtWI8+d1aXpy5kR9W7eaFPg2oF1XQ6/D8hiVBY/xEgXwFaFm+5bnXV1S5gsPDDhN7JJa1+9aydt9a1uxbQ/mC5QGYsmEKQ2cMPVe+TEQZqhSuwud9Pqd0RGk2HdjEoZOHqFqkKkXCimT7+8krihUI4dXrGnJ1gzI89s0qur8+j9vaVGZIh+qEBluvQlnNkqAxfkxEKFewHOUKlqNT1U7nrbvlkltoVb4VWw5tYcvBLWw+tJktB7eca2gzfsl4xiwcA0Ch0EJUKVyFKkWq8EmvTwgKCGLdvnWcTjhNVGQURcKK2CMBF3BF7ZI0rVSE0dPW8ebsrUxfvYfRvevTvHJRr0PL0ywJGmOSFRkSSZOyTWhStkmy6+9rdh9tK7Rly6EtbD64mS2HtrDt720EBThfKyNjRvLlWmc0jbCgMKIio6hXsh6T+k4C4Ku1X3HoxCGKhxenRHgJiud3/i0Y6r+XAguGBfPfXvXpVr8Mwyavot9bC+nfrDzDrqxJRGiw1+HlSZYEjTHpUrFQRSoWqpji+hFtR3BtnWuJPRLLjiM7iD0SS1hw2Ln1Ly14iQWxC87bplHpRiy53ekv/+4f7ubo6aPnGv5ERUZRo2gNahSrkSXvJye5tGoxfnygNS/O2Mh78//g5/V/MapnXS6rad3pZTZLgsaYLFG3RF3qlvjX4DDn/DTgJ/Yd38e+Y/vO/ev7sP/uuN0s3b2UXUd3EZ8YD0D3Gt35pt83AFR/tToJmkDx/MWd2mT+Elxe+XKur3c9AB+u+JDw4HAiQyKJDImkYGhBShconWtqmvnzBfH4VbW5qn5pHp60kkHvL6FHdBlGdKtDkfB8XoeXZ1gSNMZ4Iiw4jPIFy59riJPU5GsnA5CQmMBfx/5ix5Ed556BBLi6xtXsjtvNvmP72HF4B8t2LyMiJILr611PQmICA78Z+K99PtDsAcZ0HsOJMydoPKHxuQRaPH9xiuUvRscqHWlVvhUnzpwgZlvMuQTqO2X3EFgNyxfm+3tb8/ovmxkXs5k5m/bzxNV16FbfOuTODJYEjTE5WmBAIKUjSlM6ovR5y//X8X8pbhMgAfxx/x8cOXXk3HT45GGqFa0GwKmEU9QqVot9x/ex+q/V7Du2j4MnDhKRL4JW5Vux8+hOukzs8q/9vnbla9zd9G7W7VtHj897nEuMEfkiCA0K5d6m99KyfEu2HNzC+CXjCQ0KJSQwhPzB+YkMiaRT1U6UL1iewycP8+fhP89tHxYcRr7AfARI8s8I5gsKYMgV1bmyXike/mol9336O1OW7+KZHinXtE3aWBI0xuQ5IpLq/cpCoYX4qu9X5y1L1EQSNRGAshFlWXjLwn8S6KnDHD119FzH5cGBwTQs1fDc+n3H9nEq4RR/n/wbgNgjsYxfMp5T8adI0IRzx5h6/VTKFyzPL9t+oefnPf8V15yb5tC6Qmu+XPMl9/94PyFBIYQEhjjJNCiEj3p+xOS7WjL023d5d/mzTB5TiPurPkC7jH1c6SIiRYDPgYo4Q+L1VdVDyZQbCDzmvnxGVT9wl48CBgCFVbWAT/kQ4EOgEXAAuFZVt2XV+7AkaIwxOLXHszWxsOCw8zoyT6pqkap81uezFNe3rdiWY484w2IlJCZw7Mwxjp46SuGwwgA0LduUr6756lyCPRl/klPxp84l7rKRZelarSunEk5xMv4kpxNOcyrhFPkC8xEYIDSrGsaPsYc4eDSOXXGJmfQJXLRhwE+qOlpEhrmvH/Yt4CbKkUBjnPFjl4rIFDdZfge8BmxKst9bgEOqWlVE+gHPAddm1Zuw8QSx8QRN1rLzy2QVVeWnX2LocFn7dG2fkfEERWQD0E5Vd4tIaSBGVWskKXOdW+YO9/WbbrlPfcrEJakJTgeeUNUFIhIE7AGKaxYlK886qRORe0VkvYisEZHnfZYPF5HNIrJBRDqltg9jjPFnIkJQxkagCBKRJT7T7RexbUlV3e3O7wGSe36jLLDD53Wsuyw157ZR1XjgMJBlPQZ4cjlURNoD3YEGqnpKREq4y2sD/YA6QBlglohUV/W5qG6MMSazxKtq45RWisgsoFQyqx71faGqKiK58rKiV/cE7wRGq+opAFX9y13eHfjMXf6HiGwGmgILkt+NMcaYrKKqHVJaJyJ7RaS0z+XQv5IpthPOa7cTBcRc4LA7gXJArHs5tCBOA5ks4dXl0OpAaxH5TURmi8jZfpnSU3U2xhiT/aYAZx/GHAh8m0yZ6UBHESksIoWBju6ytO63D/BzVt0PhCysCV6gGh0EFAGaA02AL0Sk8kXu/3bgdoCgoCBiYmLSHWtcXFyGtjcmNXZ+mazk4fk1Gue7+xZgO9AXQEQaA4NV9VZVPSgiTwOL3W2eUtWDbrnngeuB/CISC7ytqk8A7wAfuVcCD+LcIssynrQOFZEfgedU9Rf39RachHgrgKr+111+rpVQavuz1qEmJ7Pzy2SljJxfGWkdmld4dTn0G6A9gIhUB/IB+3Gqwf1EJEREKgHVgEUexWiMMSaP86phzLvAuyKyGjgNDHSv+a4RkS+AtUA8cLe1DDXGGJNV8sTD8iKSiJNMU0uYgamsD8JJurlJau8nJx8rI/u62G3TWj4t5S5UJq+dX5B955idX96dX2Gq6tnz4jmCquaJCXgrveuBJV7Hn9nvN6ceKyP7utht01o+LeX87fzK7L97dh3Hzi+bLnbKS78Avsvg+twmO99PZh4rI/u62G3TWj4t5fzt/ILse092fvnn+ZUj5InLoRklIks0lV4TjMkIO79MVrLzK2PyUk0wI97yOgCTp9n5ZbKSnV8ZYDVBY4wxfstqgsYYY/yWJUFjjDF+y5KgMcYYv2VJMAkRCReRD0Rkgoj09zoek7eISGUReUdEvvI6FpM3iUgP9/vrcxHp6HU8OZ1fJEEReVdE/nK7afNd3tkdwX6ziAxzF/cCvlLV24Crsz1Yk+tczPmlqltV9RZvIjW51UWeY9+431+DgWu9iDc38YskCLwPdPZdICKBwOvAlUBt4Dp3ZPso/hnT0PotNWnxPmk/v4xJj/e5+HPsMXe9SYVfJEFVnYMzLpWvpsBm95f5aeAznJHtY3ESIfjJ52My5iLPL2Mu2sWcY+J4DpimqsuyO9bcxp+/5FMaxX4y0FtExmNdFZn0S/b8EpGiIvIG0FBEhnsTmskjUvoOuxfoAPQRkcFeBJabeDWUUo6lqseAm72Ow+RNqnoA516NMVlCVccCY72OI7fw55rgTqCcz+sod5kxmcHOL5PV7BzLBP6cBBcD1USkkojkA/rhjGxvTGaw88tkNTvHMoFfJEER+RRYANQQkVgRuUVV44F7gOnAOuALVV3jZZwmd7Lzy2Q1O8eyjnWgbYwxxm/5RU3QGGOMSY4lQWOMMX7LkqAxxhi/ZUnQGGOM37IkaIwxxm9ZEjTGGOO3LAmaPEdE7hORdSLyidexZBYRiXGHzLnaff2+iPRJUiYule3DRGS5iJwWkWJZHa8xuYX1HWryoruADqoa67tQRILcB4xzq/6quiQ9G6rqCSBaRLZlbkjG5G5WEzR5ijtCQ2VgmogMEZEnROQjEZkPfCQixUVkkogsdqeW7nZFRWSGiKwRkbdFZLuIFBORir4DmYrIgyLyhDt/m7uPFe4+87vL3xeRsSLyq4hs9a2xicjDIrLK3Wa0iFQRkWU+66v5vk7nZ/CUW+tbLiI7ReS9jOzPmLzMkqDJU1R1MLALaK+qY9zFtXFqhtcBrwBjVLUJ0Bt42y0zEpinqnWAr4HyaTjcZFVtoqoNcLqt8h0xvjTQCrgKGA0gIlfijCnYzN3meVXdAhwWkWh3u5uBtCatF3yS3XKfz2CEqkYD7XDGoHstjfszxu/Y5VDjD6a4lwPBGWettoicXRcpIgWANkAvAFX9QUQOpWG/dUXkGaAQUACnD8ezvlHVRGCtiJT0OfZ7qnrcPc7ZQVLfBm4WkaHAtTiDpabF/6nqV2df+N4TFOcNfgy8pKpL07g/Y/yOJUHjD475zAcAzVX1pG8Bn6SYVDznXzEJ9Zl/H+ihqitE5CacmtdZp3x3f4H4JuHURH8GlrpjDmbUE0CsqtqlUGNSYZdDjb+ZgTPyNgA+lyHnANe7y64ECrvL9wIl3HuGITiXN8+KAHaLSDDQPw3HnolT4zt777AIgJuQpwPjSful0BSJSDecWud9Gd2XMXmdJUHjb+4DGovIShFZyz+jvD8JtBGRNTiXRf8EUNUzwFPAIpwktt5nX48DvwHzkyxPlqr+iDPe2xL3Ht6DPqs/ARJxknRGDQXKAovc+4VPZcI+jcmTbCglY5LhPkrQWFX3Z9PxHgQKqurjKayPAR5M7yMSPvvZRja+L2NyOqsJGuMxEfkaGIDTcjUlB4H3zz4sn45jhLm1z2CcGqcxBqsJGmOM8WNWEzTGGOO3LAkaY4zxW5YEjTHG+C1LgsYYY/yWJUFjjDF+y5KgMcYYv/X/PmhQ3JDgpxoAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_k=mutual_tester(circ_k, 'With Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Equivalent Single Inductor"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1.4H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1.4@u_H)\n",
"net_in & l1[1, 2] & gnd\n",
"\n",
"\n",
"\n",
"circ_eq=generate_netlist()\n",
"print(circ_eq)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_eq=mutual_tester(circ_eq, 'Equivalent')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compersion between all three cases"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"comp_plot=eecomplex_plot_templets()\n",
"fig, [ax_mag, ax_phase]=plt.subplots(ncols=1, nrows=2)\n",
"comp_plot.bode_plot_two_templet(anylsis_nok.ac_sim_mag_DF.index,\n",
" anylsis_nok.ac_sim_mag_DF['V1_[A][dB]'],\n",
" anylsis_nok.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[ax_mag, ax_phase]\n",
" )\n",
"ax_mag.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_mag_DF['V1_[A][dB]'], label='mitK')\n",
"ax_phase.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_phase_DF['V1_[A][deg]'], label='mitK')\n",
"\n",
"\n",
"ax_mag.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_mag_DF['V1_[A][dB]'], alpha=.4, label=\"eq\")\n",
"ax_phase.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_phase_DF['V1_[A][deg]'], alpha=.4, label='eq')\n",
"\n",
"ax_mag.legend()\n",
"ax_phase.legend()\n",
"plt.suptitle('Compersion Bode plots of Anti-Serial Inductors')\n",
"plt.tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Parallel Mutual Inductance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parallel Adding Mutual Inductance from ALL ABOUT ELECTRONICS \"Mutually Coupled Inductors in Parallel (Derivation / Proof and Examples)\" @~ 13:04min"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/jpeg": 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iI2QgXuaCUW2cQpwPALHzNLgdzmR5yuaQeYtjI+VeIvW0NxFtS9Vsu+BFMwvPRG7yJT2HOK8tRFU2auTx2SPqFjC4ho3uIA9JOQ/WV37RjRmrRiaxkbHSZDjJnNBkkdzkuO0Nz+Kvn9jtzmnoLXDb5wQV23RnTulYiaZ5o604AEjJXCNusN7o3v8AJc3ny3rJYGuxTcq53Zt7tv5S8rhY0Zr+LuuwxtimiLeM1GholY9wYddrdheC4HW6AR0LiOmOHttUbcDgPLgk1c9urIxpfE7LpEjWn5F2HhP0yrzwmlUeJdctM0rf5sNY4PDGO+O4ua3aNmWa4zp3ibamH25iQCInsjz55pQY4hl/zuafkK8sjNuvXU9H/wA4eI+ZmnP5VQVAP1KrbwgRPb2+ZQqR+2ardyxC/uwTBrl57oqNO3dlY3XfFTrTWpGxghpe+OswuDNZzRrHrBB/F0+pD6VncgkifJDKx8UsT3RyRSNdHJHIwlr45GPGsx4cCC09BXoM0bxI1vHm4biDqORcbopWTSDGuLHONwR8UGh4Lc894IQeXn5stntsUaVPnTJBkCp8i/qwrDbNyRsFSvYtzuDi2GrBLZmcGjNxbDA0vIAGeYX536ksEj4Z4pYJoyWywzxviljeN7ZYpAHMdu2OQfjuyVz8yxCu9BC5X5f9fQop0etBn8qjfbJb/wAC/BdZ0nfdjq2oKviDK75OPZI7XFkzhoj4sbCPFnb+uFOCXgus6RVr9uvagrsw1jJJGTNkc6QSRyygMMewHKEjb1gg0IehRyjH5jdvyKpKC7vb9qBYlHEAZnIAbz5vSUDPci2rCeDXSG0wSwYJij4jtDzTmia8EZh0RmaONb525rX8Ww2zUldBbrWKk7fhQ2oJa8zQdxMU7Q7VORyPOg/l50B/aoEaUFz2oVPbzKlBj6gshu2LAe3zrIbkFP1KHLmXQcA4LLV3AbmkjLVdleiZmvrObIZ38Txeeo8eSM+MG/oXPUAqFUqFBQoVsPBvorLjmJ1cJgljgluGYMllDnRs4itNadrhnlbW13N2dYL8+EDRuTB8Rt4ZNIyaWlI2N8sYcI3l0cc2bA/aBlIBt6Cg8JFfOV6eK6O4jVijsW8Pv1a8xa2GxZp2a8EznsdKwQTzRhkpMbXOyaTsaSg8tAigQHLJyxK2/gm0En0jxAYbXnirSGCWxxkwe5mrA6Nrm5R7db30fMUGoqFelpPhLqF23Re9sj6NmxVfIwEMe6tK6Fz2B20NJYTt6V5qChT2/UgVCDEoV+tStJNIyKGOSaaVzWRRRMdJLJI8hrI4ooxrSPLiAGt2nML98Zwq1Sk4i5Vs059UP4m3XmqzajiQ1/E2Gh+oS123+6UH8YREQCihVQFSsQVkgFZALFZMQdT4MuEaOCNlLEHERxgMr2si4MYNjYrAbt1RsAeOYDPdmutU7UUzBJDIyWN3wXxva9h9DmHJfKTl3ngN+9Y/Lz/wLJ5zHWrVPP0bpmeHcmG047jtOizXt2I4Rlm1rnZyPy5o4m+XIdnMFwrhI00fisjWMDoqcJJijdlryPyyM02WzW1SQGjdrHpXteECP5dW/NG/v5lzgLrwuNtU26dRO+Z/CDJVoUVWhECqjQr6kGS7/wCAr9/Lv/TJP83UXACu/wDgLffy7/0yT/N1EG4+EBwKPxvF6OIYSRxGKzeK4tNFqkVH12vD7+WWWtxNeSIg/HhhB2uK6Dw1Q0odEMWp0NRtbD6opNYz4MRrOhbxWt8ZwGQJ6Q7PbmuKaIcOEuj02lWHytdN/tHGJ8GBBcyK9JiM7XwS5fBrFz+P/wDpTje4Be7ofO+Tg0xWWV7pJZX4jJLK85vllkvB8kjzzvL3OcT/AHig5hwdcGVLE9Gscx6WzcjtYOLphhhdXFabxWjFcj48SQGT4chadVw2Abll4NvBbS0pnvw3LNys2nFXkjNN1cOeZ3zNcJDYhcMsohuy3ldB8G3D5buhmldCq3jbdjx+OGAEB0kk+EwxwsGewZyNLcz0Feh4DejuIVJ8Xnt0LlOKSKpFG63Wmq8ZJHJYc9jGWWhziGvbmQPjINZ8CTCsMlv+PT3nRYtCZY6eHiSINs15awM8xidHxri3N21pA2bQvx8J/RXRuGbEcQqY0+xjct5vjOFmeq5sBkPv+ULIRM3IBp8px+Eta8DiQN0mw8OIBfBca0H4zvFJH6o6Tqscf8JX8/D9oriYx/HLBw+6KrbElk2jVmFTxd4jLZRbLOKc3yw3Yd+Y3hB++n/BjSw7RjBtIIbFyS1islWOaCV1c1ovGKdqzIYBHAJB75WaBrOOxx371ngfBbSn0RtaTOs3G3K0j42V2ur+KODbUVcF7XQ8bnqyOOxw2gLo3CJgtrEeDzR3xCCW46m+lNNHWjfPKI46tylKWxQgveRNOwHIbMnE7iv0wrCLVLg0vx3K09WV0j5RFYjdDLxcmIVyx7opBrszAzydlvCDkHBBolgGIMuWMfxt2FQ1HwMZFHxTZ7RnbK73l0rXF+QgfmxjCdxzC6Jc4EdHcXw+3d0RxqxdsUWl0lW1qOEhDHPEWqa7JoJHNY7Ve7NpLCOkj8/B64PcJfgmIaTYjQfjctQ2G1sKY0yMPisbJCDXaPf5nOfueHANa0hpK6t4NGl/3VOJiPRipgEUEdcMkqVzELRebIML5BWY2RzA0HIbuP3DPaHOvAIcHTY8Rlka+GEZdBfiKeBT96NJPyFf/K3F+P8A/n20h2NhwIcKmFBwIyIIOIAgg7Qc1+vgUfejST8hX/ytxBpXBhwS0cc0bvYpUtXjjWHNl16ANY1ZXRN8YhEbOI47J9byQdb4bH8wyX5cAPBXT0grYniOJ3LNPDsMa33+q6AOdI2J1mzxhsQuaGNr8S7Z+Hangiaa/cnHIIJX6tTFmMpTZkBrbBOtRmdntz40uh/+9d0LqvhICnoro5yfw08W/GrtuZ4Gq1zKbrPjVhmQGXFBr6lMA/Ez6EHynYdGXuMQkbEXOMTZSwytiJPFiZ0YDHS6mQJaAM88l9B+BhoXUszXscvsZJFhWqys2RodGyyWGeay9hG2RkIj1ejjnHeAR88lfT/gP4rWmr4zgcrw2WzlaY3MB0sEsIp2TGD1dWD6QEGp6ReFJpBYsOloNqUqZcTXryVhPNxXxPG5XPyMuWRIjyAzy27zpuO4pienONVA2vA3EbUMNNwiL2Vsq/HSyWnh+boYhG9zi3N382csyQF/FpNwSaRYbZdSkwnELJY4sjsUqVi1WsNGxs0ctZhawEZO1XkEa20BdN8GHAbOA6V1quMQipav4TZfVgkewyNM1hpibIGEtZMYsPtO1M8wC3PIkgB6VjgZ0Iw6VuGYtpROzFXBgkDJqleKGSRrSwOY+u4Vsw5rgJnbQ9vSuZcOPBTY0XuQxPlNqjczdVtBvFvIY5omgnZtaywA9hzGwh4I5wLww8H2Ox47iMTsOxC4+7dsz1poKs9iKzDcnfLBqTsbxYIY9rS0kauqc8gureF3IKeA6M4Xbla/EK5gksHW1nFlOgatmRxHxTPMzad+o7oQc48JLgvpaL2KUFOzcsttwzyvdcdA5zTE+NjWx+LQtGWTzv6E4UuC+nhOj+B43BZuS2MY8V4+GZ0BrxeMUJbjuIEUIkGT4w0axOwldQ8N7R2/cnwi1SpW7sHE2oXPp1prWpI98EkQkZXaXNDm6+Ryy97K/i8J2jNV0P0UrWI3QzwPoxTRPy145Y8HssfG4A5BwcCPkQeTonwI6PSYBR0gxbG7mHRWGtfZzdU4jypJI2w1A6vxnHFzWZfCPwtnRjpZwH4PbwqxjOiOLTYkymHusVZzHI9zYmCSWOIxwtlgtCPyxHIDrZtyyzC97TDDbNrg3wdlavPZeyStI6OtDJPI2MS2mukMcLS7UBe3M82a/XwRsItYLh2kGM4rDNRw98EGo21HJA+RtBlySxMIJgHamViNgdl5RDgNyD+Pgz/+W2Oc/vl7/trLnXArwQ/dyCziuI3hhWB0dcT2zqCSV0bA+XiHze9xxNa5ucrsxmcgCc8uhcFgy4NMaGWWT7oI6Mm1Rktw4D7MFzQUV6+FVsdlpyWGWsGnkijbYmbfddDXmaNzON4mSKdocNpDBmN4DRK3AlovjtazyTx6xZxCmwOMF7VEUhOtxfGtNRk0THFhbxzcwNuwrl/BFwXX9IsQloR/yRlMn7o2JWa3ieT3RcVxTXe+WTIyRoZmB71Ic9m3tOiHCHLQsvOEcF8tG45joZJYoZaR4rWa9zJ7RwsNZDrRtPlHLyAv18GjFDjlHTOOs6OpieLzW7cLWv8A5gYnBM2uWSkBz2NsGXysvjg7M0HqcEPB/oTh2N0zh2kUt7Gaj7Qjrm3TkjmkNSzBZj1IKwDi2J879VrsxxO3PIrgfhJ/8UY1+cx/5Sstk8GnRDFqOlmFi3hWI1W1nXRO6WnO2CEHDLsTdayGcSWGR7GhzTkS9uROa17wmInN0pxkOaW5zwuGYyza6nWLXDPeMudBzh+4+j6l9VeFn/wlo1+Xof8Ah7a+VX7j6Cvqvwsv+EtGvy9D/wAPbQajwWcBuFYto9Hj13F7OGnXsmy95qeIw1qdySCR/vsYe15hiPlOdkHPByI8k/1aYcB2Bz4LZxnRbF58RGHtldYjnfDM2VtZnG2I28TA18FoRESBrgQQW7BmCv6Gj/4Uu/Pf/wBjaV/V4I7j9wdK25+TxLnAcwc6jZBOXTk1vZCDlnAbwT2tKJ5dWYU8PqapuXXt18i4FzYa7CQHzFoLiScmjInPMA/RPANoZobQxbXwTH5cSxKKtYifC61Umjkhc+HjZWCvWAdk5kYzYcvL2rS/B0oPxTQfSHCsOyGJSy2c49drHT8fTqiIOcTk1j2QSwZu2e9O5l4vgf6NYlU0lLreHYhVZHRuRyPs0rMEbZDJWDWGWWMM1jquy27dU5IPI0a0DraSaaY5htuazXi8ZxqyJKjoWy8ZDiLGNafGInNLNWd/NzN2rUNHNCa9rSfk++aw2r90rlDj2GLxniqr7DWSZuj4rjSIG5+TltOxdd4DGmLhFxpsnkOe7HA0O2FxkvQTsyB35xAv9AXlaIaFYtDwgOkfht0V2YtfuOteKzCp4rP4zLFMLhbxJaWzRjIHPMkbwQg55wpcHn3N0gfo/hhsXXF9OGsZ+KM8styGGTKR0EbY2tD5T5WQADczuJXVJ+A/RPBWww6TaSSQ4hNGHmGrJDDEwOJGsyOSu+Yx6wc3jX5A6h2Dcv7cduwV+FGKSwWtY59eFrnEANnsYOK9faeczSsYPPIFpvhX6FYwNI7l1tK7bq4gK0lSatXnssa2GnXrSV3GBh4qQSwyO1DlmJQRzoPS0D0C0bqaWVoGY8+WpCzDcRwiyJqf8uvSWmmGgZGRllhpa1hziDT5eWzLbt3hbaK6NzT3cRtY0+vjsOHN8VwoT1GtscVxzqwMMkJmdrPc8eS4fBXC9CMBt4VpFgMWI130ppb2FWRFOAyUQz3mxxOlj3xOLoneS/IjIZgLo/hiaKYpa0jbLVw69ZhmoVmsmr1Z5odaKSzxrZJ428XEQC0nXIyDgdyDXOBbgaixelNjmM4gMJwOuXtFgOibLOYX8XM9stgGKCESgx6xBJc14AGWZ3F/APo7jVSxNohj0ly3VaC6rbkhex5OsWMkDYGTVdbVcBI4FvkHZvy9HGcJsY5wcYSzBmPsvoyxPuVIGl004qOtQ2mNgHlSPE8kdnVG0iJpAJIz83wKNFMUgxa1iM9W1ToxUZq8j7UMtZss8s1eVjGNnaDJk2GRxcN3k9KDTfBy4I6uk0uLQ37F2jJhbaeq2v4u08bZffjmZabYhcfJdTaMm5b3/J7OK8D+AXrmGYZozjhv2ppZ2YnPJNXniqwVoeMfajr142ucC/yG5OIJIGe8rePBXvQ2sV09tVy017M7J4HN+C+Ge5j8sUjcuYse13+JcA4B7uMVMSr28Cqm7dqQSTPqAa3H0wxsdmPUDg5/kyNyDNuYYQDlkQ63iHBhweV7L8In0nxCLE4n8TLJJxLa0djZnFJKaHi7QCciC/ZtGea4JpNQjq27dWKcWo6tieuyyGcW2w2CV8XHMj1jqsOpmNp2EL6w0c0w0f0uvx4fjGhdqviVlj2vtTUmnieLic8ifEA1luu3VZqhxA2lo2Zr5t4ZNF4cFxrEcLrvdJXqys4lzyHPbHPBFZbHI4Da5om1M+fUBQakVkFismoDl3ngN+9Y/Lz/AMC4MF3rgP8AvYPy838CovaHsv1GmeEAP5dW/NG/v5lzldH4f/6dW/NW/v5lzkfKuzE9jo+QiK5IFYiAKf6LJoU9v1oMito4NdPcR0esyXMN8X46aE13+MRGZnFOkjlOTWvBDtaJu30rVyoPqQf14vfktWLFuXV421PNZl1Bqs42zK+aTUaTm1uu92Q9C2nDeE3FK+Cy6PR+K/c2cS8ZrQONj36QSv1Z+MyHlDoWmKepBtfBrwhYpo7O+xhczGGdrWWIZo+Or2GsLjHx0QcHawL35OaQRru25Ereh4S2lfGun42hquaGCDxI+LR6riS+McdxhkOYBLnH4Iyy258ZKZ+lB/bgGKWKFiC3TldBZqvEkErMtaN7dmwOGTm6pLS07CHOB2FdG014fNIsXpSYbbdQbWsBrJzXqOjmlY1wdk58szmtzLR8ABcsRB0Xg04Z8e0frup0Jaz6pe6Rle5A6dkD5CXSOrmKVr2ZuJcWkkZlxyzJz/fSjhz0hxKjaw27NVmrXDnKfFdSVrQ9krGQPjeGsYHRtyzB58yTtXNCog3Hg04TMY0ddIcMsNbHOWumqzxierI9o1WyGIkOjk1chrMIJDWg55DLc7nhL6VyP1hPQhHFyR8XBRHF5yNyE38okc/jmnyht1elpGxcbQoN24OuE/FsBlu2KUkMk2JahtyXIn2XyOjfNIH63GA65fZlJcc88wvx4OuEjE8Agt1cP8W4q+1rLAnhdK7VZHJG3inNkGp5Mr9+fMtQCgQdp8FPg1kxG/Fi9uPisGwl3HunmyZHYt1wHwxsc/Y6JjgJXP3DiWjnOWocPOnZ0hxmzeYXeKMAq0GnMZVIC7VkLDue+R8kvT760HctPqYjZiZLFFZsRRWGlliKKeWOKxGcs2WIo3aszPM7NfyoHOv7MFxOzSmitVJ5K1mBwfDPC7UkjdllsI3gtJaWnYQ4gggr+MqhB22r4UelLIxG4YTM7LLj5aU/GnZ8JwgtNi1vQ0DzLmOl+muJ4teGKXbb33mcWIZogIDWbA90sLavEAcUGyPc4Ebc3E557VrxQIOy0PCZ0rhhEJmw+ctGr4xYpE2Ds+E4wTNiLvPqrl2lekF3FbUl7ELElq1Lk18smWxjc9SKKNg1IYRrOyYwAeW47yc/LRB1jRbwg9JsOpR4fDYqyxQMEUM1qsZrUMTWhsbGSiUNeA3IAyB24Z5rwOEHhWxnHqlWjicteaOnI2aOVkHFWJJWwyQa88jX6jiWyvJDQNpG5aOPb5lEH13Fptf0f0BwTEMO4jxgOhhIsxOmidHJJZ1w5jHtd8Vu0EblwXhN4Yce0hibXv2Io6ocHmpSidXryPaQWOnD5HSTEHIhrnZZgHLMArQ3WJC0RmSQsG5he4sHoYTkN5+cr8yg3HBuEnE6mEWcAi8W+51wyunD4XOsZzamvxc4kyb/ADbebpXnaBabYpgVg2sLtvrPeA2ZmTZIJ2NJIZYryDUkyzOTt413ZEZla8iDseM+ErpTZhfAZMOriRrmOlrUnCbVcC05OszuYDkd4C5fojpDdwmzFdw6w+pZhBaySPI5xuy1opY3gsmhOq3NjwR5DTvAK8xEHZ7fhN6VyNa0S4dCWOY4yQ0TxkgY4Esl4+ZzNQ5ap1QD5RyIXLtLtI7uLW5r+ITunsznynHY1jB8CGGMbIoADkGjz7yST5IQIIQt3054UcVxmjTwy6aniuHuifW4mB0cutBXfVZxshkIeOKldzDbktJCoQbaOEXEvuIdGv5N9zDJxuXEu8Z1/Gxf2T8Zllx46N2xfpoBwlYngda7Uo+KmDERq2m2IHyuc3i3xZRuZKNTyJHfqWmqZoPb0E0uxHA7DbmGWn1pg3UfkGvjmizz4uxC8akrM+ndvGRXTrXhOaVycXlJh0Oo4OcIqB9+y+JNx87jqH/09U+cLipVQe6zTDExiQxrx2Y4pxvH+OHVdJxmpxeRaRqcVxXvfF5aur5OWWxdHt+E1pXJxRE2HxCJwcRDSc0T5A5MsmWcnUzIOUer8Ec2xcbWIQbBpxpZcxq7Lid4xeNTCIPNdhhj94jbFGWsLyWnVjbtz5l0LR/wkNKqcDa/jFO4GDVbNfqvmsaoHkh00EzeNP8AefmTzkrkDNyhPt86D3dOdMMRxq6cSxCfjLerHHHJGxsAhjhc6SFkAhALA18j3A783k5rf5vCS0qdVNN09BwdEYn2jS/ljg5uoXOfxvEa+XPqc65CVi5Bt/Blwj4vo497sLsiOObVM1WZgnqyuaA1r3wuObZdUAa7CCQ1oJIC2LTvh60lxms+lZs161eUas8eHQPrGeM745ZZZXS8Wdxa0gEEg5g5Ll4VQbfwZ8I+J6PeOfc3xb/aMcEdnxmF02bK3jHFcVqyDUP8qlz3/FXlaB6VX8DtMvYZP4vYZGYdYxxytfC8sL4pGStILCY2Hp8gbV4iqDtVrwn9K5IzGH4XCSCBNDRfxzf7zePsui1vS1ccxC7NYllsWJJJp53ukmlkcXySSPOs973HeSSvwCqAsgFjzr9GIK1d34DvvYPy838C4ONwXeOA/wC9g/LzfwKi9oey/Uadw/j+W1/zVv7+Zc4C6Rw/f02v+at/fzLnBC7MT2Oj5COV6VSFAVYiKD2+dZFRBkVisnLHmQCnR6FSp0ehBOhAiIMtU/J0lQoTuUQOdPUhUQVCiFACgVCgQFckQIC6T4P82izLlkaUBxhlrvjql7HOqMe4OMz5nQHjo7OoGhj27AXP2h2quauOxfR/gYYVVtVdInWa1ewY46hiM8MUxjzjvZ6hkadXa1u7qhB88YtJXM0pqtmZVMkhrMsvY+w2DWPFNnfEAwy6mrnq7M81/LrtzyBGfRmM/mX0b4DeGUrMeOuvVoLMcUGGu9/hZMWNc3EDKYy8ZsJDR8HqtW38DPCBo7pTPNo5yXp0sO8WklojKB/GQwujaRLDHADTtasrZA6Nzsix/lZgEh8iFf1YXUNieCuCGmxNDCHEZhhmkbGHFo3gawOXmX92m+DjDsRxCg1xe2lctVmPORc+OCaSONzsvjljWk5dJX56I/fCh+e0/wDMxIPoOfwSbLRqs0hqOmILmxPw6SMOy/vi4XBuY3gFcJ4QNDb+A3X4fiMYjnY1r2OY7XhnhdmGTV5CAXRktcNoBzY4EAr6G8LrAMVu6Q4KcIrWpLjawFazXilIqzeNPLZZLUbdWuwbHFziBkF/J4b9+ozFdHxKGTOrRzTXoRlm+o6zUMcbwT8FwgugZ/3kHzEXtByLhn0ZjP5lkV9d6H6cYhZ4tmG8GzI8Dc9rA4tr1XuqOcA6xHWnqtik8gl2owkHLLW51yvwv9BaOC4pA/DoWVa+IV3SmrE3Vhhnhk4uQwRjyYoi10R1G7AQ7Leg4s6Ro3kfOPmVc4DaSAOk5L7Y4ddOcH0SsUDHo3SuWb0c2tI1laoIakT4eOax4ruL5C+Rh1MgDxe07AuHcBmmTavjbKWiTNIMZsXZZ4p+IZlRoTRxBkTpmQPdCzjo5zl5DffB5XMg4uxwO0EH0HP9i7nwAcHuE4tgmPXr9Z01nD2ympILFmIRllJ07c44JAyT3wA+WDuXWNMdGOUWjuJ28Y0ZiwHGcPgszU5WOryPkFeDxmMts12h/EOc0xuhfuyzG3IjUfBPP+7WlX/JP/416DTOCLQHCsQ0R0ixi3WdJiGGvvNpzCxYjEYgwunbizgikEUmU00jvLB+FluXFwvo/wAH/wD4A0w/KYn/AODw9Y+DVwb0jhNrSfEMNfjT4zKzDMKZEJxM6s7i3P8AF3DUkmNkFg1wQ0Ql3oD5wY9p3EHpyIK7h4JnB/hOPz4rHitZ1htSGm+uG2LFfUdM+02Qk1ZBr7IY/hdVdn0ML9KDYwvSTQgYVX4l0lW3xWyJ4IjMUVh0DZK1nVk1myR79SQHLcdY8EDAnYXjWlWHOfxho+K1xJkAZGxz4g2OQtGxpMeo7IdZB8nxHMA9ICyJWEHwW+gLJBMtgQoOZCgyzyWGayWI9vmQUbkJTmKO+pBHKOVKFBCqVAt24ItFG4lYMk7dapV1XSNO6aR2fFwnpZsLj6AOdeOov0ae3NyvhA8/RTQbEMSAkhiEdc7rFgmON35IAF8npaMtm9bcOBmbL74Ra3R4s/L0a/G55fIuxRsAya1uQ2Na1o+RrWtG4bhkF7rdEMTLON8Sm1cs8vIEmX5Eu4zPzZLI15nW36pmzG7/ACNqdj5W0q0CxHDmmWSNs0DfhT1yXtYOmVjgHxjzkZedasvrd7SM2uBBGYc1wyIO5zXNO7oyK4Jww6JMw+dliu3Vq2i7yB8GCceU6Ng+LGW5uA5tV43AK0xeZnUV81ejZV4+KGiLJqwCzHyrQDJuWxd44D/vYPy838C4LrbF3ngN+9Y/LzfwKi9oey/Uafw/f06v+at/fzrnK6N4QByu1/zVv7+dc21l2YnsdHyGWftvU9v/AOqDz/tVJViLzpz+37FB5kB9vlQZvCxO75Vm5YHm9KAVBzej6lfWsW7h7cyAqERv1ICIiAVFVEBChRyChQI1EBVTd7fIqEE9juX074EAzq6SfkqY/wDxYhuXzFn+z9abEH0j4CYzraR5f2TDcsuni8T3LT/Ak/4jr/8AT7f/AGwLjjh9WSpCDbuGppGkGNggj/aV07egzvIPzEH5QvF0Q/p+H/ntP/MxLzCc/wDU+tRB9keFTwt4zo/cq08MdVjjs1HTPllr8dMyQTOjBhLn8WBqgbHNK+b+D3SKKxpHh+JaQ2DahdbZJesW8nNOTHNgknGWoyu2YQO1QA0NiOzILSGjYVAg+2OGHQzTLFsRZawbH69TBTHAY2x37VN0YaM55HeJVyLQO1wcXc4GQyzPO/Dx4uSfBrEVivI19azlHHK10pjkfDJFYDG/CruAeA/dmwr5uY4iN0Ic4RPJL4g4iJ5JzJfEDquOe3MrFx9JyAaM+ZozyaM9w37POg+k/D2H8swT81vfqlqLYvB917mhtjD9GrtShpEJZXWZJchIHuthzZZSI3PDHUAyJswadXLZtbs+SQFWHJweDk9hzY4bHMOW9jhtacuhB9v8H+i+N4dguO1dJcarWLV2tafC+bErFmOnWNV0D5ZZbsbTDBxj8yWjIbNua534Jzf92tKhv8icbNoJ+5r93SvmaR7nOc9xLnyZCR7nEveAWkCRx2uGbWnb1AsCPMg+kOAAf7gaYflMT/8AB4fmvV8FfTerZwabRaTEXYRiIdO7DLbHRte8WZHWM6/HeRJYbYdJnC74TXjL42Xy3ko6MOBBAcDsIIBBHQQd4QfZLuDfTxj3G1pvHDSZtkstjylEY+E4wujDIzln8dap4C2ITW7ukFqxJJNNYgw+WWWUl0sj5JLziZHHaXepfMs0r3tax7nvYz4DHuc9jMtxYxxyb8ixICD84fggeYfsVWRWKCetUqFAd/m9SCqD1Kqf6IKERCgiIgQQLvXARXazCw8Dypp53v6c2lsI/wDbE351wUrs/g+4pr17FM560MgmZs2cXMA0tz5vLjJ2/hVS56mqrSTs7pgfRXAzh8ctuSV4DjXjaYwdwfI4jXA6Q1pH+NdhXz3oljsmHWGzsGu0gsljJy14yQSAeZ2YBB8y6k3hJwzU1taYPyz4riXa/o1h73n8q48JrdNa0/IrmInb90y1bhrw+OOeCdgDX2GSCUDZrGEsDXkdbKTLP+41cK4bIWuwmdx3xSV3sPQ4zMiOX+CR4+VdQ0z0hfiM/HObqRsGpDHnnqszzJcdxeTtOXQBzLjXD5jDY6sVIH3yzI2R7edsMB1gT0Zy6mX5N6rKKqdRk4qs8OV/0cUWWaxVW5QhOa71wF/esfl5v4FwQrvfAX96x+Xn/gVF7Q9l+o07wgf6bW/NW/v5lzddI8IH+nVvzVv7+Zc3K7MT2Oj5ANiusoSoFYitKoUCNQfs76lgeZZO+pYoA+tYj2/WFkfr+tYj2+dBUCIEBRCiBmoVVEFQohQB9SKt+pQICJkqUEb6Qdu3L9QQLCJ+s3PzlfoEGJUVUQVAiBBlzLFZcxWIQUfWhQIgiyCiICqhVzQMkUKpQAqsVkUGDlFSoghVAUVQVYn1KlRBVFkogiBF6+iWj1jE5xXrjdk6WV2fFwRk5F8hG878m85HpI+Llym3TNVU7IgTRPR2xidgV643ZOllcDxcEefw5Mt55g3ny9JH0Voro/Xw2AV6zch8KSR2XGTSZZGSVw3nZu5sgArorgFfDYG167dg8qSR2XGTSH4UkrhvPm5gAAtM4VdP/FA6lSeDbIymmbkRVB+K3psZfNn0rHarVXsre5mz7v8Ab5S2uzpfhkdl1OW5DHOzLWEjtSNrj8Qzu97Em7ySc/KC9YXIdXWEsWrv1uMZq5dOtnkvlFxJ2kkk7SScySdpJJ2k586w4sdA+YLuq9m7cxGyufsbX0LpXwj4fSa4RSsuWNobFXeHRh3/AK1hubGDPmGZ8y4VjuKz3Z5LNh+vLIduWxrGj4McbfixgbMvrX8SK10OMs6P3d8+KBVR315IrECu9cBn3rH5xP8AwLgq71wGfesfnE/8CovaHsv1GneED/Tq35o39/MubrpHhA/06t+at/fzLm67MT2Oj5AURRWIrT7f6I325kCnqKD9isVSodyBzbFB7fOqVAUBAiBBCiIgKKlTJAVcVPX9aHm2IKEVCgQFJT5J9CqxlOTSej0fWgwqDyBzb/2/qX6jnX51j5I+X9q/QIIUyRCgZIEzQIMjuKivSogIiIIqFFUAqqFAgo9CKBVBAFl6liCqehBiVisisfb9SAUHt86IPb50FKipRAUCq9bRLR6xic4r1x/elmcCY4I88teQjeehvPl6SPi5cpt0zVVOyIDRLR6xidgV67d2TpZXD3uCPryEbzzBo3/OR9FaK4BXw2u2vXbkBtkkdlxk0mXlSSkbz5ubYAmiuj9fDYG16zch8KSQ5cZNJlkZJXDedgGXNkAFpnCrwgCoHUqLwbZGU0wOYqg/Fb02Muz6VjtVqr2VvczZ93+3yk4VeEDxPWpUXA2yMpphtFUEfBYeexl83pXESd5OZJzJJ2kk7SSTvOZ3+dV5JOZJJJJJJzJJ2kknaTntzUWn0Oht6O3yaePfPigyVKFQLtFREKCuG70/UoVSdgUQMl3rgM+9Y/OJ/wCFcGXeuAz71j84n/gVF7Q9l+o0zwgf6dW/NB+/nXOCuj+EF/Tq35qP3065uuzE9jo+Qqodln0dCNbnuWKsRQnN8ig+pXp9CD9D7fOiOUJ3oCgKIEBM1VigqipRBCiIUEPt+tVyFCgvOgRUIMSsJvguG3cd3Ssyvzm+CfR+3YgsG4egL9AsWDYqEBRUqFBVCiIKiFEBFAUQEKFEFKAqFAgqKBEAKqK5oI5YlZFYIKECn+qoQUqKv+petono9YxKw2vXbl8aWVw97gj3a8hG88waN/zkfFy5TbpmqqdkQLono9YxOcV643ZOlldnxcEeeWvIRvO/JvPl6SPojRXAK+G121q7dg8qSR385NJzySuG8+bmyACuiuAV8NgbXrtOQ2ySOy4yaTLIySkbz5ubYAtM4VeEDxMOpUnA2z5M0w2iqCPgtPPYyy9HpWO1WqvZS9zNn3f7fKThV0/FTWpUng2yMpphkRVB3tbzGxl82fSuJOJJzJzJJJJOZJOZJJO858/nQ5kknMk7SScySdpJJ3nNFp9Dobejt8mnj3z4oTJAiLtFIQKKhAREQULELIb1CgLu/ATK12GFoILmWJg8c7S4McMx6CFwhf2YTitmo4vrTywOcMnGJ7mawG4PAOThtO/pK4Mlo51lnm4nZO0bzw/ytOIQNBBLKrNYdUumnIB8+rkcvOFzpfpYnfI90kj3SSPOb5JHF73HZtc9xzJ2c6/Ne2ksdHs02+OyBWlRVTmXSCvT6FEPP7dCD9XrE86yeogKe360KIBUKqxQXNAiIDlHfUq9QhBUKFHIKgUVagjlhNu6No9v2rNYTDPIef8AVzoMzz5dKrVMv2o1BCiiEoKVEzQoKiiIKgUCIBVUKIKSojkQAVVOlEALJYFZoIViqVEAqhQr19EtHrGJWBXrt6HSyuB4uCPPLXky3nYcm8+XpI+Llym3TNVU7IgXRXR6xidgV64y2B0srgeLgj3a8hG878m8+XpI+idFcAr4bA2vXbkPhSSHLjJpMsjJKRvd5uYAAJorgFfDYG167dnwpJHZcZNJuMkrhvPm5sgAtM4VeEAVNalSdnbIymmGRFUHe1vMbGXzZ9Kx2q1V7K3uZs+7/b5ScKun4qB1Kk8G2RlNM3aKoPxW8xsZfN6VxFxJzJJJJJJJzJJ2kknaTnzquOe0kkkkkk5kknMkk7Sc+dRafQ6G3o7fJp498+KFUKqhXaKoqogqBCjUFWKqIChVQoBCFFMkFCJmgQFT61EKAFHfX6lUP1+37EH6PUJWTliEAp0IVCgpWKyIUdkgKKlT1oK5Q9Kjz+z1KlBSo45IiDvmiXB9hkdWEzV2WZpI2SSSyFzs3PaHERtB1Wx7chl0bV63IfCPxfW7J9a41gHCHidKFleN8UkTPJjE8RkdG3mY1zXg6nmOeWzmXoDhZxbop/oJPtlk72MyNVyZiv8AKXVeQ+Efi+v2T605D4R+Lq3ZPrXKvdZxbop/R5Ptlj7rOLdFL6PJ9svLqrJef1SOr8h8I/F9fsn1pyHwj8X1uyfWuU+6zi3RT+jyfbKjhZxbop/oJPtk6qyXn9UjqvIfCPxfW7J9achsH/F9bsn1rlPus4t0U/o8n2ynutYt0Uvo8n2ydVZLz+qR1fkNg/4vrdk+tOQ2D/i+t2T61yn3WcW6KX0eT7ZT3WsW6Kf0eT7ZOqsl5/VI6vyGwf8AF9bsn1pyGwf8X1uyfWuUe61i3RS+jyfbJ7rWLdFL6PJ9snVWS8/qkdX5DYP+L63ZPrTkNg/4vrdk+tco91nFuil+gk+2T3WsW6Kf0eT7ZT1VkvP6pHV+Q2D/AIvrdk+tOQ2D/i+t2T61yk8LOLdFP9BJ9snus4t0U/o8n2yjqrJef1SOrchsI/F9bsn1pyGwf8X1uyfWuUe6zi3RS+jyfbJ7rWLdFL6PJ9snVWS8/qkdX5DYP+L63ZPrTkNhH4vrdl3rXKPdZxbopfR5Ptk91rF+il9Hk+2TqrJef1SOr8hsH/F9bsn1pyGwf8X1uyfWuUDhZxbopfR5PtlfdZxbopfoJPtk6qyXn9Ujq3IbB/xfW7J9achsH/F1bsn1rlPutYt0Uvo8n2yh4WsW6KX0eT7ZT1VkvP6pHV+Q2D/i6t2T616uD4TWpsMdWCOBjnazmxty1nZZazjvJyGW1cTPC1i3RS+jyfbL8rfCni8jHM168WsMuMhhLZGg9Rz5CGnz5L5qw2vuf+a6t3zG78Kmn/imtSpPBtkZTTDaKoI+C07jYy+b0riJJO0nMkkknaSTtJJO0nPn86riScySScySTmSScySTtJzOefnWK0uh0NvR2+TTx75QqipUXaKFDuQJ7ehBVPWjVAgyKjUKBBVFc1EFCFAoUFKZqFQlBQif6KlAVKnt+xVAWP8Ap9ayQoP0csQtR5UWOpD2X99TlPP1Iey/voNu5vnRajymn6kPZf305TT9SHsv76DbioVqR0nn6kPZf305TT9SHsv76DbSh+tajymn6kXZf31eU0/Uh7L++g2w/UqVqPKafqQ9l/fQ6TT9SHsv76Dbgi1LlNP1Iuy/vodJp+pD2X99BtqArUeU0/Uh7L++nKWfqQ9l/fQbcVFqfKax1Iey/vqcpZ+pF2X99BtyN9S1E6Sz9SHsv76o0mn6kPZf30G2FR25anymn6kXZf30Oks/Ui7L++g2wKrUuUs/Uh7L++nKWfqQ9l/fQbaotT5Sz9SLsv76cpZ+pD2X99BtqLUuUs/Uh7L++nKWfqRdl/fQbaUWpcpZ+pF2X99OU0/Uh7L++g2woFqfKWfqRdl/fTlLP1Iuy/voNsQLUuUk/Ui7L++ryln6kXZf30G2KrUuUs/Uh7L++nKWfqQ9l/fQbaoVqfKWfqQ9l/fTlLP1Iuy/voNsCLU+Us/Ui7L++nKWfqRdl/fQbahWpcpZ+pD2X99OU0/Uh7L++g21Ranymn6kPZf305ST9SLsv76DbAUG5anyln6kXZf305Sz9SLsv76Dawi1PlJP1Yuy/vpykn6kXZf30G2IFqfKSfqRdl/fTlJP1Iuy/voNtCLUxpLP1Iuy/vpyln6kPZf30G2tR31rUuUs/Ui7L++nKWfqRdl/fQbY5FqZ0ln6kXZf305Sz9SLsv76DbedCtS5Sz9SLsv76vKafqQ9l/fQbaUWo8pp+pD2X99OU0/Ui7L++g25Qhanymn6kPZf31OUs/Ui7L++g8RERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREH/2Q==\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('NacczEJj_iI', width=500, height=400, start=784)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### No Coupling"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"L2 N_2 0 4H\n",
"Rdummy_1 In N_2 0Ohm\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"rdummy2=R(ref='dummy', value=0@u_Ohm)\n",
"\n",
"l1[1, 2]+=net_in, gnd\n",
"rdummy2[1, 2]+=l1[1], l2[1]\n",
"l2[2]+=gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_nok=generate_netlist()\n",
"print(circ_nok)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_nok=mutual_tester(circ_nok, 'No Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### With Coupling"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"L2 N_2 0 4H\n",
"Rdummy_1 In N_2 0Ohm\n",
"K1 L1 L2 0.5\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"rdummy2=R(ref='dummy', value=0@u_Ohm)\n",
"\n",
"l1[1, 2]+=net_in, gnd\n",
"rdummy2[1, 2]+=l1[1], l2[1]\n",
"l2[2]+=gnd\n",
"\n",
"k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_k=generate_netlist()\n",
"print(circ_k)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_k=mutual_tester(circ_k, 'With Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Equivalent Single Inductor"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"net_in & l1[1, 2] & gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_eq=generate_netlist()\n",
"print(circ_eq)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_eq=mutual_tester(circ_eq, 'Equivalent Parallel Inductors')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compersion between all three cases"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"comp_plot=eecomplex_plot_templets()\n",
"fig, [ax_mag, ax_phase]=plt.subplots(ncols=1, nrows=2)\n",
"comp_plot.bode_plot_two_templet(anylsis_nok.ac_sim_mag_DF.index,\n",
" anylsis_nok.ac_sim_mag_DF['V1_[A][dB]'],\n",
" anylsis_nok.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[ax_mag, ax_phase]\n",
" )\n",
"ax_mag.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_mag_DF['V1_[A][dB]'], label='mitK')\n",
"ax_phase.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_phase_DF['V1_[A][deg]'], label='mitK')\n",
"\n",
"\n",
"ax_mag.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_mag_DF['V1_[A][dB]'], alpha=.4, label=\"eq\")\n",
"ax_phase.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_phase_DF['V1_[A][deg]'], alpha=.4, label='eq')\n",
"\n",
"ax_mag.legend()\n",
"ax_phase.legend()\n",
"plt.suptitle('Compersion Bode plots of Parallel Inductors')\n",
"plt.tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parallel Opposing Mutual Inductance from ALL ABOUT ELECTRONICS \"Mutually Coupled Inductors in Parallel (Derivation / Proof and Examples)\" @~ 14:25min"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/jpeg": 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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('NacczEJj_iI', width=500, height=400, start=865)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### No Coupling"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"L2 0 N_2 4H\n",
"Rdummy_1 In N_2 0Ohm\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"rdummy2=R(ref='dummy', value=0@u_Ohm)\n",
"\n",
"l1[1, 2]+=net_in, gnd\n",
"rdummy2[1, 2]+=l1[1], l2[2]\n",
"l2[1]+=gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_nok=generate_netlist()\n",
"print(circ_nok)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_nok=mutual_tester(circ_nok, 'Anti-Parallel Inductor with No Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### With Coupling"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"L2 0 N_2 4H\n",
"Rdummy_1 In N_2 0Ohm\n",
"K1 L1 L2 0.5\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"l2=L(value=4@u_H)\n",
"rdummy2=R(ref='dummy', value=0@u_Ohm)\n",
"\n",
"l1[1, 2]+=net_in, gnd\n",
"rdummy2[1, 2]+=l1[1], l2[2]\n",
"l2[1]+=gnd\n",
"k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_k=generate_netlist()\n",
"print(circ_k)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_k=mutual_tester(circ_k, 'Anti-Parallel Inductors with Coupling')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Equivalent Single Inductor"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"L1 In 0 1H\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"l1=L(value=1@u_H)\n",
"net_in & l1[1, 2] & gnd\n",
"\n",
"#k=K(ind1=l1, ind2=l2, coupling=0.5)\n",
"\n",
"circ_eq=generate_netlist()\n",
"print(circ_eq)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 Hz \n",
" 100 Hz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1 Hz 100 Hz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"anylsis_eq=mutual_tester(circ_eq, 'Equivalent Anti-Parallel Inductor')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compersion between all three cases"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#compare without K, with K, theoretical equivalent \n",
"comp_plot=eecomplex_plot_templets()\n",
"fig, [ax_mag, ax_phase]=plt.subplots(ncols=1, nrows=2)\n",
"comp_plot.bode_plot_two_templet(anylsis_nok.ac_sim_mag_DF.index,\n",
" anylsis_nok.ac_sim_mag_DF['V1_[A][dB]'],\n",
" anylsis_nok.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[ax_mag, ax_phase]\n",
" )\n",
"ax_mag.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_mag_DF['V1_[A][dB]'], label='mitK')\n",
"ax_phase.semilogx(anylsis_k.ac_sim_mag_DF.index, anylsis_k.ac_sim_phase_DF['V1_[A][deg]'], label='mitK')\n",
"\n",
"\n",
"ax_mag.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_mag_DF['V1_[A][dB]'], alpha=.4, label=\"eq\")\n",
"ax_phase.semilogx(anylsis_eq.ac_sim_mag_DF.index, anylsis_eq.ac_sim_phase_DF['V1_[A][deg]'], alpha=.4, label='eq')\n",
"\n",
"ax_mag.legend()\n",
"ax_phase.legend()\n",
"\n",
"plt.suptitle('Compersion Bode plots of Anti-Parallel Inductors')\n",
"plt.tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Purposely designed Mutual Inductive Element; The Razivi T-Coil\n",
"\n",
"So, the question that should be asked is when does mutual induction come into play outside of transformers. From a field’s standpoint, mutual induction can be used in testing the effect of placing inductors too close to each other in layout by extracting $k$ from the field simulation. But it does have uses. One of which that shows up a lot in high-speed SERDES is the Razivi T-Coil where a paper on the topology can be found there: [The Bridged T-Coil](https://www.seas.ucla.edu/brweb/papers/Journals/BRFall15TCoil.pdf).\n",
"\n",
"A study of a variation of the T-coil was given by Jordan Edmunds in a two-part YT video on the subject. Where we will recreate the example from part two.\n"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/jpeg": 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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('-kSSMOAhlwU', width=500, height=400)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/jpeg": 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\n",
"text/html": [
"\n",
" VIDEO \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('vr2oYehKC8Q', width=500, height=400)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"code_folding": [
108,
129
]
},
"outputs": [],
"source": [
"#%%writefile -a AC_2_Codes.py\n",
"#chapteer 2 section 3 t_coil class\n",
"#class with lcapy and skidl subcircuit to create a T-coil from https://youtu.be/vr2oYehKC8Q\n",
"\n",
"class t_coil():\n",
" def __init__(self, subcirc_ref=None, L_value=375@u_nH, K_value=1.0/3.0, CB_value=.125@u_pF, CL_value=1@u_pF):\n",
" \"\"\"\n",
" T-Coil example from https://youtu.be/vr2oYehKC8Q example\n",
" \n",
" Args:\n",
" subcirc_ref (str): reference to use for the base of the internal elements\n",
" L_value (float; 375@u_nH; Henerys): inductance of each of the two inductors in the T-coil\n",
" K_value (float; 1/3): the magnetic coupling between the two inductors\n",
" CB_value (float; .125@u_pF; Farads): capacitance of the bridge capacitor between the two coils\n",
" CL_value (float; 1@u_pF; Farads): capacitance of the shunt capacitor between the two cols\n",
" \n",
" Returns:\n",
" None\n",
" TODO:\n",
" -add assertions\n",
"\n",
" \"\"\"\n",
" \n",
" self.subcirc_ref=subcirc_ref\n",
" self.L_value=L_value\n",
" self.K_value=K_value\n",
" self.CB_value=CB_value\n",
" self.CL_value=CL_value\n",
" \n",
" @subcircuit\n",
" def SKiDl(self, term_0, term_1, term_2, term_3, return_elements=False):\n",
" \"\"\"\n",
" Terminals:\n",
" term_0, term_1, term_2, term_3\n",
" \n",
" Terminals are defined via:\n",
" ```\n",
" Left_Termanals - T-coil - Right_Termanals\n",
" +----+ \n",
" Postive V_i term_0-|0 2|-term_2 Postive V_o\n",
" Negtive V_i term_1-|1 3|-term_3 Negtive V_o\n",
" +----+\n",
" ```\n",
" \n",
" Args:\n",
" return_internls (bool; False): If True return out the internal Voltage Source,\n",
" and Resistance objects in this package\n",
" Returns:\n",
" Returns elements to circuit RC lowpass filter part element object and if `return_internls`\n",
" is True will return the internal voltage and resistance objects in that order \n",
" \"\"\"\n",
" if self.subcirc_ref!=None:\n",
" CBref={'ref':f'CB_{self.subcirc_ref}'}\n",
" CLref={'ref':f'CL_{self.subcirc_ref}'}\n",
" LLref={'ref':f'LL_{self.subcirc_ref}'}\n",
" LRref={'ref':f'LR_{self.subcirc_ref}'}\n",
" \n",
" else:\n",
" CBref={}\n",
" CLref={}\n",
" LLref={}\n",
" LRref={}\n",
" \n",
" self.cb=C(value=self.CB_value, **CBref)\n",
" self.cl=C(value=self.CL_value, **CLref)\n",
" self.ll=L(value=self.L_value, **LLref)\n",
" self.lr=L(value=self.L_value, **LRref)\n",
" self.mul=K(ind1=self.ll, ind2=self.lr, coupling=self.K_value)\n",
" \n",
" term_0 & self.ll[2, 1] & self.lr[2, 1] & term_2\n",
" self.cb['p', 'n']+=term_0, term_2\n",
" self.cl['p', 'n']+=self.ll[1], term_1\n",
" term_1+=term_3\n",
" \n",
" if return_elements:\n",
" return self.cb, self.cl, self.ll, self.lr, self.mul\n",
" \n",
" \n",
" \n",
" \n",
" def lcapy_self(self, draw_me=True, with_values=True):\n",
" \"\"\"\n",
" Creates a lcapy schematic of this classes filter that\n",
" can be used for amongst other things: draw a basic schematic\n",
" of this class circuit, extract the transfer function, \n",
" extract the 2Port Representation\n",
" \n",
" Args:\n",
" draw_me (bool): will draw a schematic of this classes circuit schematic\n",
" \n",
" with_values (bool): will push the filters element values into\n",
" the resulting lcapy circuit object in place of abstract simply variables\n",
" \n",
" Return:\n",
" the lcapys circuit object is stored in `self.schematic` and will\n",
" have abstract sympy variable for the elements if `with_values` is False\n",
" and will draw the schematic of just this classes filter if `draw_me` is True\n",
" \n",
" TODO:\n",
" - Figure out how to add the K dots\n",
" - get the Vin statement into the schematic\n",
" \n",
" \"\"\"\n",
" self.with_values=with_values\n",
" \n",
" \n",
" self.schematic=kiwi.Circuit()\n",
" self.schematic.add('W 1 1_1; right=2')\n",
" self.schematic.add('W 0 0_1; right')\n",
" \n",
" self.schematic.add('Ll N1 0_1; left')\n",
" self.schematic.add('Lr N1 2_1; right')\n",
" self.schematic.add('Cl N1 1_1; down')\n",
" \n",
" self.schematic.add('W 0_1 0_2; up')\n",
" self.schematic.add('W 2_1 2_2; up')\n",
" self.schematic.add('Cb 0_2 2_2; right')\n",
" \n",
" self.schematic.add('W 2_1 2; right=1.5')\n",
" self.schematic.add('W 1_1 3; right=1.5')\n",
" self.schematic.add('P2 2 3; down, v=V_o')\n",
" \n",
" \n",
" if with_values:\n",
" self.schematic=self.schematic.subs({\n",
" 'Ll':self.L_value,\n",
" 'Lr':self.L_value,\n",
" 'Cl':self.CL_value,\n",
" 'Cb':self.CB_value})\n",
" \n",
" if draw_me:\n",
" self.schematic.draw()\n",
" \n",
" def get_tf(self, with_values=True, ZPK=True):\n",
" \"\"\"\n",
" will extract the symbolic transfer function for this filter\n",
" \n",
" Args:\n",
" with_values (bool): will push the filters element values into\n",
" the resulting lcapy circuit object in place of abstract sympy variables\n",
" \n",
" ZPK (bool): if True will try to return the TF in zero-pole-gain form\n",
" else will try to return the TF in canonical form \n",
" where the unity coefficient is the highest power of the denominator\n",
" \n",
" \"\"\"\n",
" self.lcapy_self(draw_me=False, with_values=with_values)\n",
" self.tf=self.schematic.transfer(0, 1, 2, 3)\n",
" \n",
" if ZPK:\n",
" return self.tf.ZPK()\n",
" else:\n",
" return self.tf.canonical()\n",
" \n",
" def get_twoPort(self, network_rep='Y', with_values=True):\n",
" \"\"\"\n",
" Gets the 2Port network representation of this filter.\n",
" The 2Port representation can be controlled\n",
" \n",
" Args:\n",
" network_rep (str; 'Y'): control string for what\n",
" representation is used to choose from:\n",
" \n",
" 'Z': two-port Z-parameters matrix\n",
" 'Y': two-port Y-parameters matrix\n",
" 'H': two-port H-parameters matrix\n",
" 'G': two-port G-parameters matrix\n",
" 'ABCD': two-port A-parameters matrix\n",
" 'invABCD': two-port B-parameters matrix\n",
" 'S': two-port S-parameters matrix\n",
" 'T': two-port T-parameters matrix\n",
" \n",
" \n",
" \"\"\"\n",
" \n",
" self.lcapy_self(draw_me=False, with_values=with_values)\n",
" \n",
" #create an action dict to get the 2P rep\n",
" rep_actions={\n",
" 'Z':lambda x: x.Zparams(0, 1, 2, 1),\n",
" 'Y':lambda x: x.Yparams(0, 1, 2, 1), \n",
" 'H':lambda x: x.Hparams(0, 1, 2, 1),\n",
" 'G':lambda x: x.Gparams(0, 1, 2, 1),\n",
" 'ABCD':lambda x: x.Aparams(0, 1, 2, 1),\n",
" 'invABCD':lambda x: x.Bparams(0, 1, 2, 1),\n",
" 'S':lambda x: x.Sparams(0, 1, 2, 1),\n",
" 'T':lambda x: x.Tparams(0, 1, 2, 1),\n",
" }\n",
" \n",
" assert network_rep in rep_actions.keys(), f'`{network_rep}` is not 2Port rep'\n",
" \n",
" return rep_actions[network_rep](self.schematic)\n"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
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\n"
},
"metadata": {
"image/png": {
"height": 268,
"width": 560
}
},
"output_type": "display_data"
}
],
"source": [
"T_coil=t_coil()\n",
"T_coil.lcapy_self()"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\\frac{s^{4} + \\frac{s^{2}}{C_{l} L_{r}} + \\frac{s^{2}}{C_{l} L_{l}} + \\frac{1}{C_{b} C_{l} L_{l} L_{r}}}{s^{4} + \\frac{s^{2} \\left(C_{b} L_{l} + C_{b} L_{r} + C_{l} L_{l}\\right)}{C_{b} C_{l} L_{l} L_{r}} + \\frac{1}{C_{b} C_{l} L_{l} L_{r}}}$$"
],
"text/plain": [
" 2 2 \n",
" 4 s s 1 \n",
" s + ───── + ───── + ──────────── \n",
" Câ‚—â‹…Láµ£ Câ‚—â‹…Lâ‚— C_bâ‹…Câ‚—â‹…Lâ‚—â‹…Láµ£ \n",
"────────────────────────────────────────────────\n",
" 2 \n",
" 4 s â‹…(C_bâ‹…Lâ‚— + C_bâ‹…Láµ£ + Câ‚—â‹…Lâ‚—) 1 \n",
"s + ──────────────────────────── + ────────────\n",
" C_bâ‹…Câ‚—â‹…Lâ‚—â‹…Láµ£ C_bâ‹…Câ‚—â‹…Lâ‚—â‹…Láµ£"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#get this filters abstract transfer function\n",
"T_coil.get_tf(with_values=False, ZPK=False)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\\frac{s^{4} + \\frac{16000000000000000000 s^{2}}{3} + \\frac{512000000000000000000000000000000000000}{9}}{s^{4} + \\frac{80000000000000000000 s^{2}}{3} + \\frac{512000000000000000000000000000000000000}{9}}$$"
],
"text/plain": [
" 2 \n",
" 4 16000000000000000000â‹…s 512000000000000000000000000000000000000\n",
"s + ─────────────────────── + ───────────────────────────────────────\n",
" 3 9 \n",
"──────────────────────────────────────────────────────────────────────\n",
" 2 \n",
" 4 80000000000000000000â‹…s 512000000000000000000000000000000000000\n",
"s + ─────────────────────── + ───────────────────────────────────────\n",
" 3 9 "
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#get this filters transfer function\n",
"T_coil.get_tf(with_values=True, ZPK=False)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"C1 In Out 0.125pF\n",
"C2 N_2 0 1pF\n",
"L1 N_2 In 375nH\n",
"L2 Out N_2 375nH\n",
"K1 L1 L2 0.3333333333333333\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In'); net_out=Net('Out')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"T_coil.SKiDl(net_in, gnd, net_out, gnd)\n",
"\n",
"circ=generate_netlist()\n",
"print(circ)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1e+07 \n",
" 1e+10 \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 1e+07 1e+10 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t_coil_resp=qfilter_explorer(circ, 'Equivalent', start_freq=1e7, stop_freq=1e10)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t_coil_resp.symbolic_tf(T_coil)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Transformers\n",
"\n",
"Am just doing a basic transformer with XSPICE will come back and do the specialty ones at a later time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Transformer with XSPICE¶\n",
"\n",
"With just SPICE the transformer is modeled as a pair of coupled inductors with a coupling constant between them. So this doesn't work well for transformers. Yes, we could do it this way but it would be a laughable facsimile to a real transformer with real cores. And again SPICE is not a field solver. So to increase the capability of SPICE more advanced models have been developed. Unfortunately, most of these SPICE enhancements get swallowed up by proprietary EDA companies. But there is a major extension to Berkely's SPICE (what the core of ngspice is based on) via the Georgia Tech Research Institute that is open source and has been integrated into ngspice; XSPICE.\n",
"\n",
"Here we will just start using XSPICE to create a very simple implementation of a transformer based on what is in the ngspice documentation. But of course, we will do this with SKiDl and wrap it in a class that can give a user or developer a template to bespoke it to their needs.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quick rundown on instantiating XSPICE elements with SKiDl\n",
"\n",
"While XSPICE has a whole part of the ngspice manual dedicated to it (typically Part 2) the basic XSPICE elements are typically documented in Part 1 Chapter 12 \"Mixed-Mode and Behavioral Modeling with XSPICE\". The important parts of that chapter are \"Table 12.1: Port Type Modifiers\" and Section 12.5 \"Predefined Node Types for event-driven simulation\". The rest of the chapter is broken down into three main sections:\n",
"\n",
"-\tAnalog Models (12.2): these are XSPICE elements with both analog input and outputs like Diodes, S-Domain Transfer Functions, Memristors, etc\n",
"\n",
"-\tHybrid Models (12.3): these are XSPICE elements with a mixture of analog and digital IOs such as DAC, ADC, Controlled Digital Oscillators\n",
"\n",
"-\tDigital Models (12.4): there XSPICE elements with full digital IOs such as RTL logic primitives of AND, NAND, NOR, Latches, and Flip-Flops\n",
"\n",
"To create the primitive XSPICE transformer we are going to need two XSPICE *Inductive Coupling* elements (12.2.18) and one XSPICE *Magnetic Core* element (12.2.19)\n",
"\n",
"Let's just do a walkthrough of invoking an *Inductive Coupling* element in SKiDl. First off in the ngspice documentation all XSPICE elements are documented with a three-column table where at the top of the table we get some basic info for the element. What we are after here is the **Spice_Model_Name** row which in this case is `lcouple`. This tells the engine what XSPICE element were using like how `V` tells the engine that the element is a voltage source. The next main section in the table is the Port description *PORT_TABLE* where for each port it has an entry. Notice for an lcouple element it has two ports `l` and `mmf_out` in the center and far left column respectively. For each port, the most important info is **Allowed_Types** were to understand the cryptic type codes we need to refer to \"Table 12.1: Port Type Modifiers\". For `l` we have two allowed types `h` which is a single-ended input referenced to ground, and `hd` which is a differential input with no reference. Here's the thing, the translation from SKiDl though PySPICE to ngspice will not infer the grounded connection therefore go with the high number of terminals. So in this case port `l` will have two terminals where we are free to make the names of them whatever we want, will go with `io1` and `io2` respectively, but that is your choice though the DOT will go with the first terminal. For the other port `mmf_out` it is only a hd port so we have to create two terminals for it that again can be arbitrarily named but we will go with `mmf1`, `mmf2` here. This is the port that outputs the magnetic flux \"current\" to another lcouple element or magnetic core element. The last section is the *PARAMETER_TABLE* which can be quite extensive, but for the lcouple element is just a single parameter. Where each parameter will have info about its type, default value, bounds, etc. Where that can, and in our transformer class, used to write the parameter assertions. For an lcouple element, the only parameter is `num_turns` which is the number of turns for that particular lcouple element. Which, we will write the assertion to be that `num_turns` must be an integer greater than or equal to 1. Armed with the info we need to invoke our element lets look at doing so with SKiDl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The follwing will be a non function cirucit to demnstrate instaint xarray elements with SKiDl before the exstaince class for a full transfomer. We start by create a varibel that holds the number of turns for this inductor and follow it up with an assertion to make sure only valid inputs are allowed"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"#var to hold the number of turns\n",
"N_turns=5\n",
"#assertion\n",
"assert isinstance(N_turns, int) and N_turns>=1, 'N_turns must be int >=1'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then instantiate the lcouple instance and tie it into the circuit as follows and then dissect what was done"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pin A1/0/io1/UNSPECIFIED True\n",
"Pin A1/1/io2/UNSPECIFIED True\n",
"Pin A1/2/mmf1/UNSPECIFIED True\n",
"Pin A1/3/mmf2/UNSPECIFIED True\n",
".title \n",
"A1 io1D io2D mmf1D mmf1D_1 ex_lcouple\n",
".model ex_lcouple lcouple (num_turns=5)\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"#refrance lines number in markdown below don't change them\n",
"reset()\n",
"#create some dummy nets \n",
"io1_dnet=Net('io1D'); io2_dnet=Net('io2D'); mmf1_dnet=Net('mmf1D'); mmf2_dnet=Net('mmf1D')\n",
"\n",
"#instatine the XSPICE lcouple elment\n",
"l_couple_ex = A( # `A` is the ngspice control leter for XSPICE elements\n",
" io=\"io1, io2, mmf1, mmf2\", #io1 & io2 \\in port`l` and `mmf1` & `mmf2` \\in port `mmf_out`\n",
" model=XspiceModel( #`model` is filling in the blank for a `A` element and `XspiceModel` for SkiDl\n",
" \"ex_lcouple\", #name for this element instance\n",
" \"lcouple\", #what type of XSPICE element this is\n",
" num_turns=N_turns #element parameters as kwargs\n",
" ),\n",
" )\n",
"\n",
"#tie in the lcouple element to the nets\n",
"#first tie to the circuit\n",
"l_couple_ex['io1', 'io2']+=io1_dnet, io2_dnet\n",
"#second tie for the flux\n",
"l_couple_ex['mmf1', 'mmf2']+=mmf1_dnet, mmf2_dnet\n",
"\n",
"circ=generate_netlist()\n",
"print(circ)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In line 7 we instantiate the XSPICE element within a SPICE element type `A`. This is followed up in line 8 with the declaration/creation of the IO terminals. The first port `l` is a `hd` type port therefore differential terminals are appropriately instantiated as `io1` & `io2` followed with port `mmf_out` which is only a `hd` type and so has the arbitrary terminals `mmf1` & `mmf2`. Both these ports are done in one string `\"io1, io2, mmf1, mmf2\"`. Next in line 9, we invoke `model=XspiceModel` where XspiceModel is the pass-through handler from SKiDl through to the ngspice netlist. The first argument of `XspiceModel` is the name of this element instance in line 10 `ex_lcouple`; where for the full transformer below this will be more descriptive with `primary` and `secondary` to indicate which lcouple element is taking on wich role. The next argument of `XspiceModel` in line 11 must be the **Spice_Model_Name** from the elements document table in the ngspice manual where for a lcouple it's lcouple. The rest of the arguments are pythonic kwags inputs where the argument is the parameter verbatim of its **Parameter_Name:** in the documentation table then set equal to the value we want it to take. In lcouple elements, there is only a single parameter `num_turns` that we set equal to our variable `N_turns` in line 12. From there we have a now standard SkiDl element that we attach to the rest of the circuit like normal. Thou what actually attaches to what is dictated by the port type and what it's meant to do. For a lcouple element port `mmf_out` which is made of terminals `mmf1` & `mmf2` is intended to pass a representation of the magnetic flux to either another lcouples `mmf_out` port or to a magnetic core element."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## XSPICE made primitive Transformer\n",
"\n",
"Now know how to translate an XSPICE element from the ngspice docs to a SKiDl element. We now construct a class to act as a very primitive transformer model. And by primitive we mean it does not take into account the resistive and capacitive nature of each of the ports that must be modeled for a more sophisticated transformer model. All the values and basic configuration are taken from the ngspice 32 manual section 12.2.19 examples\n"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"code_folding": []
},
"outputs": [],
"source": [
"#%%writefile -a AC_2_Codes.py\n",
"#chapteer 2 section 3 basic_xspice_transformer class\n",
"#class with skidl subcircuit to create primitive XSPICE transformer-based\n",
"#on the ex in ngspice 32 manual section 12.2.19\n",
"\n",
"class basic_xspice_transformer():\n",
" \"\"\"\n",
" Basic XSPICE based two-port transformer based on the example\n",
" in ngspice 32 manual section 12.2.19\n",
" \"\"\"\n",
" \n",
" def __init__(self, subcirc_ref=None, prim_turns=1, sec_turns=1, parallel=True):\n",
" \"\"\"\n",
" Create a primitive two-port transformer with a magnetic core\n",
" where core parameters are set in `self.core_specs`\n",
" \n",
" Args:\n",
" subcirc_ref (str): reference to use for the base of the internal elements\n",
" prim_turns (int; 1; None): the number of turns on the primary port \n",
" of the transformer must be an int >=1\n",
" \n",
" sec_turns (int; 1; None): the number of turns on the primary port \n",
" of the transformer must be an int >=1\n",
" \n",
" parallel (bool; True): If True will put the primary and secondary ports\n",
" in parallel dot configuration else will put them in anti- parallel config\n",
" \n",
" Returns:\n",
" None\n",
" TODO:\n",
" -really investigate the anti parrel config to make sure it's working\n",
" as it's supposed to\n",
"\n",
" \n",
" \"\"\"\n",
" self.subcirc_ref=subcirc_ref\n",
" \n",
" assert prim_turns>=1 and sec_turns>=1, 'turns must be >= 1'\n",
" self.prim_turns=prim_turns; self.sec_turns=sec_turns\n",
" \n",
" self.parallel=parallel\n",
" \n",
" self.core_specs()\n",
" \n",
" def core_specs(self, \n",
" H_array=None, B_array=None, \n",
" area=0.01, length=0.01, \n",
" input_domain=0.01, \n",
" fraction=True, \n",
" mode=1, \n",
" in_low=-7.0, in_high=7.0,\n",
" hyst=2.3, out_lower_limit=-2.5e-4,\n",
" out_upper_limit=2.5e-4,\n",
" #tried to make it look like the table in the ngspice manual\n",
" make_plot=False):\n",
" \"\"\"\n",
" Access method to set all the core properties, if `make_plot` is true \n",
" will produce a plot of the BH curve\n",
" \n",
" Args:\n",
" (see assertions in code below for each inputs constraints)\n",
" (default values are taken from the two examples in ngspice 32 12.2.19,\n",
" not from the default values in `core`'s docs )\n",
" \n",
" H_array (np.array/None; None; ATurns/m): array for the core's main BH curve H values\n",
" if None will use default in the ngspice 32 manual examples in 12.2.19;\n",
" used only in pwl mode\n",
" \n",
" B_array (np.array/None; None; T):array for the core's main BH curve B values\n",
" if None will use default in the ngspice 32 manual examples in 12.2.19; \n",
" used only in pwl mode\n",
" \n",
" area (float; 0.01; m^2): the cross-section area of the core such that the flux\n",
" will be \\psi=B *A where A is the area and B is the B part of the BH curve; \n",
" used only in pwl mode\n",
" \n",
" length (float; 0.01; m): length of the core will scall the io mmf such that\n",
" H=mmf/L where H is the H part of the BH curve, mmf is the IO mmf and L is the length; \n",
" used only in pwl mode\n",
" \n",
" input_domain (float; 0.01; ?): docs are not clear what this is\n",
" \n",
" fraction (bool; True): if True apply smoothing to the BH curve vs nearest value in BH curve array\n",
" \n",
" mode (int; 1): if `1` use a pwl model of the core else `2` use a hysteresis model\n",
" \n",
" in_low (float; -7.0; ?): input low value, ?; used only when using hysteresis mode\n",
" \n",
" in_high (float; 7.0; ?): input high value, ?; used only when using hysteresis mode\n",
" \n",
" hyst (float; 2.3; ?): hysteresis, ?; used only when using hysteresis mode\n",
" \n",
" out_lower_limit (float; -2.5e-4; ?): ouput lower limit. ? ; used only when using hysteresis \n",
" \n",
" out_upper_limit (float; 2.5e-4; ?): ouput upper limit, ? ; used only when using hysteresis \n",
" \n",
" make_plot (bool; False): if True create a plot of the BH curve and\n",
" returns that plots axis\n",
" \n",
" \n",
" Returns:\n",
" create atriputes of XSPICE core parmaters like `self.*_V` that \n",
" hold the parmter value to pass to the core instaince in `self.SKiDl`.\n",
" If `make_plot` is True will create plot of BH curve and retrun it's axis\n",
" \n",
" \n",
" TODO:\n",
" - beef up the docs about the hysteresis from a source other then the ngspice manual\n",
" - beef up the plots\n",
" \n",
" \n",
" \"\"\"\n",
" \n",
" if (H_array==None) or (B_array==None):\n",
" assert (H_array is None) and (B_array is None), 'Both H & B must be None or equal np.arrays'\n",
" H_array=np.array([-1000, -500, -375, -250, -188, -125, -63, 0, 63, 125, 188, 250, 375, 500, 1000])\n",
" B_array=np.array([-3.13e-3, -2.63e-3, -2.33e-3, -1.93e-3, -1.5e-3, -6.25e-4, -2.5e-4, 0, 2.5e-4, 6.25e-4, 1.5e-3, 1.93e-3, 2.33e-3, 2.63e-3, 3.13e-3])\n",
" else:\n",
" assert isinstance(H_array, (np.ndarray, np.generic) ) and isinstance(H_array, (np.ndarray, np.generic) ), 'Both H & B must be None or eual np.arrays'\n",
" \n",
" assert (H_array.shape==B_array.shape) and (H_array.shape[0]>1) and (H_array.ndim==1), 'H and B arrays must be eual 1 dim arrays'\n",
" self.H_array_V=H_array; self.B_array_V=B_array \n",
" \n",
" assert isinstance(area, float) and (area>=0), 'area must be a float >=0'\n",
" self.area_V=area\n",
" \n",
" assert isinstance(length, float) and (length>=0), 'length must be a float >=0'\n",
" self.length_V=length\n",
" \n",
" assert isinstance(input_domain, float) and (input_domain>=1e-12) and (input_domain<=0.5), 'input_domain must be a float >=1e-12 and <=0.5'\n",
" self.input_domain_V=input_domain\n",
" \n",
" assert isinstance(fraction, bool), 'fraction must be a bool'\n",
" self.fraction_V=fraction\n",
" \n",
" assert mode in [1,2], 'mode is a control value 1:pwl, 2:hyst; only'\n",
" self.mode_V=mode\n",
" \n",
" assert isinstance(in_low, float) and (in_low0.0), 'hyst must be a float greater than 0'\n",
" self.hyst_V=hyst\n",
" \n",
" assert isinstance(out_lower_limit, float) and (out_lower_limit"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"transformer=basic_xspice_transformer(prim_turns=2, sec_turns=5)\n",
"#dont change any core prop, but make the plot \n",
"transformer.core_specs(make_plot=True);"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pin A1/0/io1/UNSPECIFIED True\n",
"Pin A1/1/io2/UNSPECIFIED True\n",
"Pin A1/2/mmf1/UNSPECIFIED True\n",
"Pin A1/3/mmf2/UNSPECIFIED True\n",
"Pin A2/0/io1/UNSPECIFIED True\n",
"Pin A2/1/io2/UNSPECIFIED True\n",
"Pin A2/2/mmf1/UNSPECIFIED True\n",
"Pin A2/3/mmf2/UNSPECIFIED True\n",
"Pin A3/0/top/UNSPECIFIED True\n",
"Pin A3/1/bot/UNSPECIFIED True\n",
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"A1 In 0 N_2 0 prim_None\n",
"A2 Out 0 N_3 0 sec_None\n",
"A3 N_2 N_3 core_None\n",
"Rload In N_4 100Ohm\n",
"Vamm_load N_4 0 0\n",
".model prim_None lcouple (num_turns=2)\n",
".model sec_None lcouple (num_turns=5)\n",
".model core_None core (B_array=[-1000, -500, -375, -250, -188, -125, -63, 0, 63, 125, 188, 250, 375, 500, 1000] H_array=[-1000, -500, -375, -250, -188, -125, -63, 0, 63, 125, 188, 250, 375, 500, 1000] area=0.01 fraction=True hyst=2.3 in_high=7.0 in_low=-7.0 input_domain=0.01 length=0.01 mode=1 out_lower_limit=-0.00025 out_upper_limit=0.00025)\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In'); net_out=Net('Out')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"\n",
"#conenct the subcircuit\n",
"transformer.SKiDl(net_in, gnd, net_out, gnd)\n",
"\n",
"#create a load\n",
"rload=R(ref='load', value=100@u_Ohm)\n",
"load_amm=V(ref='amm_load', dc_value=0)\n",
"net_in & rload & load_amm & gnd\n",
"\n",
"circ=generate_netlist(libs=\"SpiceLib\")\n",
"print(circ)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 10 Hz \n",
" 1 GHz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
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\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 10 Hz 1 GHz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Index(['N_1_[V]', 'In_[V]', 'N_2_[V]', 'Out_[V]', 'N_3_[V]', 'N_4_[V]',\n",
" 'V1_[A]', 'Vamm_load_[A]'],\n",
" dtype='object')"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trans_sim=ac_ease(circ)\n",
"trans_sim.ac_sweep_setup(10@u_Hz, 1@u_GHz, 20, 'decade', True)\n",
"trans_sim.do_ac_sim()\n",
"trans_sim.ac_resultsNB_DF.columns"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/iridium/anaconda3/lib/python3.7/site-packages/pandas/core/series.py:726: RuntimeWarning: divide by zero encountered in log10\n",
" result = getattr(ufunc, method)(*inputs, **kwargs)\n"
]
}
],
"source": [
"par_data=ac_representation_tool(trans_sim.ac_resultsNB_DF)\n",
"par_data.make_mag_phase()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['N_1_[V][dB]', 'In_[V][dB]', 'N_2_[V][dB]', 'Out_[V][dB]',\n",
" 'N_3_[V][dB]', 'N_4_[V][dB]', 'V1_[A][dB]', 'Vamm_load_[A][dB]'],\n",
" dtype='object')"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"par_data.ac_sim_mag_DF.columns"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"par_plot=eecomplex_plot_templets()\n",
"fig, [axmag, axphase]=plt.subplots(ncols=1, nrows=2)\n",
"par_plot.bode_plot_two_templet(par_data.ac_sim_mag_DF.index, \n",
" par_data.ac_sim_mag_DF['In_[V][dB]'], par_data.ac_sim_phase_DF['In_[V][deg]'],\n",
" axs=[axmag, axphase], title='Par Currents')\n",
"\n",
"axmag.semilogx(par_data.ac_sim_mag_DF.index, par_data.ac_sim_mag_DF['Out_[V][dB]'], label='Out')\n",
"axphase.semilogx(par_data.ac_sim_mag_DF.index, par_data.ac_sim_phase_DF['Out_[V][deg]'], label='Out')\n",
"\n",
"axmag.legend(); axphase.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"par_plot=eecomplex_plot_templets()\n",
"fig, [axmag, axphase]=plt.subplots(ncols=1, nrows=2)\n",
"par_plot.bode_plot_two_templet(par_data.ac_sim_mag_DF.index, \n",
" par_data.ac_sim_mag_DF['V1_[A][dB]'], par_data.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[axmag, axphase], title='Par Currents')\n",
"\n",
"axmag.semilogx(par_data.ac_sim_mag_DF.index, par_data.ac_sim_mag_DF['Vamm_load_[A][dB]'], label='Out')\n",
"axphase.semilogx(par_data.ac_sim_mag_DF.index, par_data.ac_sim_phase_DF['Vamm_load_[A][deg]'], label='Out')\n",
"\n",
"axmag.legend(); axphase.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Anti-Parallel Primary and Secondary configuration\n",
"\n",
"Need to verify this better with a transient simulation."
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"transformer=basic_xspice_transformer(prim_turns=2, sec_turns=5, parallel=False)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pin A1/0/io1/UNSPECIFIED True\n",
"Pin A1/1/io2/UNSPECIFIED True\n",
"Pin A1/2/mmf1/UNSPECIFIED True\n",
"Pin A1/3/mmf2/UNSPECIFIED True\n",
"Pin A2/0/io1/UNSPECIFIED True\n",
"Pin A2/1/io2/UNSPECIFIED True\n",
"Pin A2/2/mmf1/UNSPECIFIED True\n",
"Pin A2/3/mmf2/UNSPECIFIED True\n",
"Pin A3/0/top/UNSPECIFIED True\n",
"Pin A3/1/bot/UNSPECIFIED True\n",
".title \n",
"V1 N_1 0 DC 0V AC 1V 0.0rad SIN(0V 1V 50Hz 0s 0Hz)\n",
"Rdummy N_1 In 0Ohm\n",
"A1 In 0 N_2 0 prim_None\n",
"A2 0 Out 0 N_3 sec_None\n",
"A3 N_2 N_3 core_None\n",
"Rload In N_4 100Ohm\n",
"Vamm_load N_4 0 0\n",
".model prim_None lcouple (num_turns=2)\n",
".model sec_None lcouple (num_turns=5)\n",
".model core_None core (B_array=[-1000, -500, -375, -250, -188, -125, -63, 0, 63, 125, 188, 250, 375, 500, 1000] H_array=[-1000, -500, -375, -250, -188, -125, -63, 0, 63, 125, 188, 250, 375, 500, 1000] area=0.01 fraction=True hyst=2.3 in_high=7.0 in_low=-7.0 input_domain=0.01 length=0.01 mode=1 out_lower_limit=-0.00025 out_upper_limit=0.00025)\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"No errors or warnings found during netlist generation.\n",
"\n"
]
}
],
"source": [
"reset()\n",
"#create the nets\n",
"net_in=Net('In'); net_out=Net('Out')\n",
"\n",
"#create a 1V AC test source and dummy R and attache to nets\n",
"vs=SINEV(ac_magnitude=1@u_V)\n",
"rdummy=R(ref='dummy', value=0@u_Ohm)\n",
"vs['p', 'n']+=rdummy[1], gnd\n",
"rdummy[2]+=net_in\n",
"\n",
"\n",
"#conenct the subcircuit\n",
"transformer.SKiDl(net_in, gnd, net_out, gnd)\n",
"\n",
"#create a load\n",
"rload=R(ref='load', value=100@u_Ohm)\n",
"load_amm=V(ref='amm_load', dc_value=0)\n",
"net_in & rload & load_amm & gnd\n",
"\n",
"circ=generate_netlist(libs=\"SpiceLib\")\n",
"print(circ)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Start_freq \n",
" Stop_Freq \n",
" SamplingInc \n",
" StepType \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 10 Hz \n",
" 1 GHz \n",
" 20 \n",
" decade \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Start_freq Stop_Freq SamplingInc StepType\n",
"0 10 Hz 1 GHz 20 decade"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Index(['N_1_[V]', 'In_[V]', 'N_2_[V]', 'Out_[V]', 'N_3_[V]', 'N_4_[V]',\n",
" 'V1_[A]', 'Vamm_load_[A]'],\n",
" dtype='object')"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trans_sim=ac_ease(circ)\n",
"trans_sim.ac_sweep_setup(10@u_Hz, 1@u_GHz, 20, 'decade', True)\n",
"trans_sim.do_ac_sim()\n",
"trans_sim.ac_resultsNB_DF.columns"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/iridium/anaconda3/lib/python3.7/site-packages/pandas/core/series.py:726: RuntimeWarning: divide by zero encountered in log10\n",
" result = getattr(ufunc, method)(*inputs, **kwargs)\n"
]
}
],
"source": [
"antipar_data=ac_representation_tool(trans_sim.ac_resultsNB_DF)\n",
"antipar_data.make_mag_phase()"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['N_1_[V][dB]', 'In_[V][dB]', 'N_2_[V][dB]', 'Out_[V][dB]',\n",
" 'N_3_[V][dB]', 'N_4_[V][dB]', 'V1_[A][dB]', 'Vamm_load_[A][dB]'],\n",
" dtype='object')"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"antipar_data.ac_sim_mag_DF.columns"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"par_plot=eecomplex_plot_templets()\n",
"fig, [axmag, axphase]=plt.subplots(ncols=1, nrows=2)\n",
"par_plot.bode_plot_two_templet(antipar_data.ac_sim_mag_DF.index, \n",
" antipar_data.ac_sim_mag_DF['In_[V][dB]'], antipar_data.ac_sim_phase_DF['In_[V][deg]'],\n",
" axs=[axmag, axphase], title='Anti-Par Voltages')\n",
"\n",
"axmag.semilogx(antipar_data.ac_sim_mag_DF.index, antipar_data.ac_sim_mag_DF['Out_[V][dB]'], label='Out')\n",
"axphase.semilogx(antipar_data.ac_sim_mag_DF.index, antipar_data.ac_sim_phase_DF['Out_[V][deg]'], label='Out')\n",
"\n",
"axmag.legend(); axphase.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oY4zxFxtBNUF/916ozfsLOS2tS5CjMcaElRojnaMBWm4jPT2dV199tVpZQUEB27ZtIzExkYqKiqry4uJiv8cDNoJqkm7xbWnfJpJv9tpECWNMeBg3bhxFRUU8//zzgLOS76233srkyZPp168fubm5VFRUsH37dpYvX161XXR0dNXChb5mCaoJRIT+3eLYbE+TMMaECRFhwYIFvPLKK6SlpTFgwABiYmKYOXMmY8aMITU1lfT0dG6++WZGjBhRtd3UqVMZOnQoV155pc9jCsopPhH5IzAeqAD2ApNVdaeIdASeAfoDxcA1qrq6ju0FeAD4KVAO/FVV5wQqfoB+Xdqz/NvvAnlIY4zxq969e7No0aI66+qboTd79mxmz57tl3iCNYL6s6oOVdVhwFvA793yu4BcVR0KXA08Ws/2k4HewCBVHQzM82+4taUlxbMzv5j8o/4Z2hpjTGsXlASlqgUeb9sD6r5OB5a4bdYDKSKSVMcubgDuV9UKt+1eP4Zbp/SeCQCs21XQQEtjjDFNEbRZfCIyA2eUlA+MdYu/BCYAy0RkFNAXSAb21Ni8P/AzEbkY2AfcrKpf13OcqcBUgKSkJLKzs30Sf36xM6Nl4dKVFG+L9sk+faGwsNBnP2NrZX3oG9aP3uvQoQMFBQV13vhfXl7O4cOHgxCV76kqxcXFXn8uRFUbbtUEIvIe0L2OqrtV9U2PdncCMao6XUQScE7rDQe+AgYB16tqbo19FwLTVfUvIjIB+I2qnt5QTJmZmerLRbUyH3iPHw3oyl8mnuSzfTZXdnY2WVlZwQ6jRbM+9A3rR+99++23xMfH07lz51pJ6nCAppn7m6py4MABDh8+TGpqarU6EclR1cya2/htBKWqZ3jZ9EVgMU7CKQCmQNVEiG+BzXVskwe87r5eADzbvGibJqNnAmvtFJ8xppmSk5PJy8tj3759teqKi4uJiYkJQlS+FxMTQ3JystftG0xQ7gilIcWqutjbg4pImscpufHAerc8EShS1RLgOmBpjetVld7AOS34LfAjYKO3x/al9J4JfLR0M8fKymkbFRmMEIwxYSA6OrrWqKJSdnY2w4cPD3BEocGbEdTfgTeB4z0V9Yc4oyBvzRKRgTjTzLcCv3TLBwPPiYgCa4BrKzcQkcXAdaq6E5gFvCgivwEKcZJZwGX0TKCsQvl6TyFDenUIRgjGGBO2vElQ76jqNcdrICIvNOagqnpJPeWfAAPqqTvP4/Uh4PzGHNMfMno6SWntzgJLUMYY42MNTjNX1Z/7ok046tupHe3bRNp1KGOM8QOvJkmISF/giKruF5EfAKcB36jqAr9GF+IiIoTBPRJYszM/2KEYY0zYaXAEJSK/x7l59lMReQB4BOgC3Cwij/g1uhYgo2cCa3cWUF7hn+n6xhjTWnkzgroMZ/JCO2Ab0F1Vi0QkCsj1Y2wtwrA+iTz3yVY27jnM4B4JwQ7HGGPChjePOipW1RJ3YsI3qloEoKplQIk/g2sJMvt2AmDFFntwrDHG+JI3I6hE914oARI87osSoNVPXUvuGEv3hBg+33KQq0anBDscY4wJG94kqA+AC93XSz1eV75v1USEzJSONoIyxhgfazBBqeqUQATSkp2c0om3Vu1ix6Gj9EqMDXY4xhgTFrx51NEtx6tX1Yd8F07LlJnSEYDPv/2OXsN7BTkaY4wJD95Mkoh3vzJx1mHq5X79EhhxnO1ajUHdE4hvG8XndprPGGN8xptTfH8AEJGlwAhVPey+vw9426/RtRCREcKIvh1ZseVgsEMxxpiw0ZgVdZOoPq28xC0zwKjUTmzYc5gDhceCHYoxxoSFxiSo54HlInKfO3r6DJjrj6Baoh+mdQXgg42113MxxhjTeF4nKFWdAVwDHHS/pqjqn/wVWEuT0TOBLnFtWbJ+b7BDMcaYsODNLL6VqjoCQFVzgJzjtWmtIiKEsQO78r9rdlNWXkFUZGMGp8YYY2ry5kbdwSKy6jj19kQJ148HdeOVnDxWbjvEqNROwQ7HGGNaNG8S1CAv2pQ3N5BwMCatC1ERwpL1ey1BGWNMM3mzYOFWL77yGnNQEfmjiKwSkVwR+Y+I9HTLO4rIArduuYgMqWf7cSKy0t3+QxE5oTHH95eEmGhOTulE9ga7DmWMMc0VrAslf1bVoao6DHgL+L1bfheQq6pDgauBR+vZ/q/Ale72LwH3+Ddc740b3I31uw+z9cCRYIdijDEtWlASlKp6rpHeHqhc7S8dZ3FEVHU9kCIidd1rpUDl4ksdgJ1+CrXRzh/aAxFY8MWOYIdijDEtmldLvvuDiMzAGSXlA2Pd4i+BCcAyERkF9AWSgT01Nr8OWCwiR4EC4AfHOc5UYCpAUlIS2dnZPvwp6jaoYwQvfbyJkyJ3ICJ+P56nwsLCgPyM4cz60DesH32jNfejqPpnqXIReQ/oXkfV3ar6pke7O4EYVZ0uIgk4p/WGA1/hTNC4XlVza+z7dWC2qn4mIr8FBqrqdQ3FlJmZqStWrGjyz+St+Su2c/urq3jthlMZ2bej34/nKTs7m6ysrIAeM9xYH/qG9aNvtIZ+FJEcVc2sWe63U3yqeoaqDqnj680aTV8ELnG3KVDVKe61pauBrsBmz8Yi0hU4SVU/c4teBk7118/RFOcO6U7bqAgWfNGouSPGGGM8BOUalIikebwdD6x3yxNFpI1bfh2wtMb1KnCeYtFBRAa4788E1vkz3saKj4nmrIzuvLVqF8fKbAa+McY0RbBm8c0SkdXuDcBnAdPc8sHAahHZAJzrUY6ILBaRnqpaBlwPvCYiXwJXAb8NbPgNm5iZzKGiUhZ9uSvYoRhjTIsUlEkSqnpJPeWfAAPqqTvP4/UCYIF/ovON007owsCkeP6+dDOXjOgV8MkSxhjT0tkD4/xERLj+h/3YsOcwS7/eH+xwjDGmxbEE5Uc/OaknSQlt+fvSzQ03NsYYU40lKD9qExXB5FNT+XDTfnK22mq7xhjTGJag/Ozq0X3pFt+WB95ei7/uOTPGmHBkCcrP2reN4razB/LFtkMs/DJknshkjDEhzxJUAFw6IpmMngnMfmc9R0vsvihjjPGGJagAiIgQpl+Ywc78YmYuDql7io0xJmRZggqQUamduO60VP716VbeX1fz2bfGGGNqsgQVQL89ZyCDusdz+6ur2J1fHOxwjDEmpFmCCqC2UZHMuXw4xaXlTH52OQXFpcEOyRhjQpYlqAAbkBTPU1eNZNPeQn7xfA7FpTZpwhhj6mIJKghOT+vK7EuG8snmAzaSMsaYeliCCpJLRibzyM+GsWLLQSY+9QnbvysKdkjGGBNSLEEF0UXDe/HslJPZcfAo5z26jDdzdwQ7JGOMCRmWoILs9LSuLJ52OgO6xzNtXi5Tnl3Opr2FwQ7LGGOCzhJUCOjdqR0vT/0Bd583mBVbDnL2I0u55eVc1u6suZiwMca0HkFZsNDUFhUZwfU/7MeEEb144r/fMO/zbbz+xQ6G90nk4uG9ODujO0kJMcEO0xhjAiboIygRuVVEVES6uO9FROaIyCYRWSUiI+rZbqSIfOW2myNhsmRt57i2/P7CdD65Yxx3njuIoyXl/P7NNZwy833OfXQZ099czWs5eXy95zDlFfZ0dGNM+ArqCEpEegNnAds8is8F0tyvU4C/ut9r+itwPfAZsBg4B3jHn/EGUod20fziR/35xY/6s2H3YZas38sHG/fySk4ez32yFYD2bSLp1zWO3p1i6d2xHcmd2rFvTxntt3xHYmw0ie3akNgumujIoP8dYowxjRbsU3wPA7cDb3qUjQeeV2fxpE9FJFFEeqjqrsoGItIDSFDVT933zwMX4c8E9c4dsPsrv+3+eAa6XzdEg6YqR0vLOXKsnMJjZRQXlnPsYAXHyspRnKxevgYO4HwBRIoQGSFEiBAhIBHOd+e9WyaCAJXjUEE8Xjv/qVXmqZ7xq3jTqB7BGhP3PnqUnbmxwTl4GLF+9I1Q78cDcQMZNOUJv/whHLQEJSLjgR2q+mWNs3O9gO0e7/Pcsl012uTV0aau40wFpgIkJSWRnZ3dpHhPyMsjrvBQk7b1h2igYyQQCcSAEkFZBZSUVYBEUK5Qrkp5BZQrVKhSoYoCWg5lKKqgChWAUvmfqm9VZdXetxZH7b40n7B+9I0Q7se1+79j538/oG2U7/+i9GuCEpH3gO51VN0N3IVzes+vVPVp4GmAzMxMzcrKatqOmrpdgGVnZ9Pkn7ERKjyuf3kmLs9Vg6uXe7z2qKlvkWFv2vsrYS5btozTTz/dT3tvPawffSPU+3EIzuUGf0wD8GuCUtUz6ioXkROBVKBy9JQMrBSRUcAOoLdH82S3zNMOt/x4bYwfRUTU92Fs+XNVYqOEuLbBPvvd8lk/+kZr7segXD1X1a9UtZuqpqhqCs4puhGquhtYCFztzub7AZDvef3J3X4XUCAiP3Bn711N9etYxhhjWrhQTMuLgfOATUARMKWyQkRyVXWY+/ZGYC4QizM5osEJEjk5OftFZKuP4w01XYD9wQ6ihbM+9A3rR99oDf3Yt65C0fouApgWSURWqGpmsONoyawPfcP60Tdacz/aDTLGGGNCkiUoY4wxIckSVPh5OtgBhAHrQ9+wfvSNVtuPdg3KGGNMSLIRlDHGmJBkCcoYY0xIsgRljDEmJFmCMsYYE5IsQYU5EblIRP4uIi+LiN8fzhuuRKS9iKwQkQuCHUtLJSIRIjJDRB4TkUnBjqclEpE+IvKGiDwjIncEOx5/swTVArkfzr0isrpG+TkissFdZfgOAFV9Q1WvB34J/CwY8YaixvSh63fA/MBGGfoa2Y/jcR7sXEr15XJatUb24YnAq6p6DTA84MEGmCWolmkuzgrCVUQkEngCZ0XidOByEUn3aHKPW28cc/GyD0XkTGAtsDfQQbYAc/H+szgQ+FhVbwFuCHCcoWwu3vfhp8C1IrIEeDfAcQZcKD4s1jRAVZeKSEqN4lHAJlXdDCAi84DxIrIOmAW8o6orAxtp6GpMHwJxQHucXxRHRWSxqlYEMt5Q1ch+3A6UuG3KAxZkiGtkH5YC091tXgWeDWiwAWYJKnzUtRLxKcD/AGcAHUTkBFV9KhjBtRB19qGq3gQgIpOB/ZacGlTfZ/FR4DEROR1YGozAWpD6+vAp4D4RuQLYEoS4AsoSVJhT1TnAnGDHEQ5UdW6wY2jJVLUIuDbYcbRkqroauDTYcQSKXYMKH96sRGyOz/rQN6wfm8/6EEtQ4eRzIE1EUkWkDXAZzurExnvWh75h/dh81odYgmqRROTfwCfAQBHJE5FrVbUMuAn4X2AdMF9V1wQzzlBmfegb1o/NZ31YP3uauTHGmJBkIyhjjDEhyRKUMcaYkGQJyhhjTEiyBGWMMSYkWYIyxhgTkixBGWOMCUmWoIwxxoQkS1DGGGNCkiUoY4wxIckSlDHGmJBkCcoYY0xIsgRljDEmJFmCMsYYE5IsQRnjBRG5WUTWiciLwY7FV0QkW0Q2iMhP3PdzReTSGm0Kj7N9rIjkikiJiHTxd7ym9bEl343xzo3AGaqa51koIlHu2j0t1ZWquqIpG6rqUWCYiGzxbUjGOGwEZUwDROQpoB/wjoj8RkTuE5F/ichHwL9EpKuIvCYin7tfY9ztOovIf0RkjYj8Q0S2ikgXEUkRkdUe+79NRO5zX1/v7uNLd5/t3PK5IjJHRD4Wkc2eIx0R+Z2IfOVuM0tE+ovISo/6NM/3TeyD+93RUq6I7BCRZ5uzP2O8YQnKmAao6i+BncBYVX3YLU7HGVFdDjwKPKyqJwOXAP9w20wHPlTVDGAB0MeLw72uqier6kk4K6le61HXAzgNuACYBSAi5wLjgVPcbf6fqn4D5IvIMHe7KYC3CeXPHoko16MPfq+qw4As4DvgcS/3Z0yT2Sk+Y5pmoXuKC+AMIF1EKusSRCQO+CEwAUBV3xaRg17sd4iIPAAkAnE4S35XekNVK4C1IpLkcexnVbXIPc53bvk/gCkicgvwM2CUlz/Xb1X11co3ntegxPkBXwAeUtUcL/dnTJNZgjKmaY54vI4AfqCqxZ4NPBJWTWVUP3sR4/F6LnCRqn4pIpNxRiyVjnnuvoH4XsMZwS0BclT1QAPtvXEfkKeqdnrPBISd4jOm+f4D/E/lG49Ta0uBK9yyc4GObvkeoJt7jaotzim7SvHALhGJBq704tj/hzNSqrxW1QnATZb/C/wV70/v1UtELsQZrd3c3H0Z4y1LUMY0381ApoisEpG1wC/d8j8APxSRNTin+rYBqGopcD+wHCfBrPfY173AZ8BHNcrrpKrvAguBFe41o9s8ql8EKnASaHPdAvQClrvXp+73wT6NOS5R1WDHYEyr4E7HzlTV/QE63m1AB1W9t576bOC2pk4z99jPFgL4c5nWw0ZQxoQhEVkAXI0zw7A+3wFzK2/UbcIxYt1RWzTOSM0Yn7IRlDHGmJBkIyhjjDEhyRKUMcaYkGQJyhhjTEiyBBXmROQiEfm7iLwsImcFO56WSkTai8gKEbmg4damLiISISIzROQxEZkU7HhaIhHpIyJviMgzInJHsOPxN0tQLZD74dzr+cBRt/wcd/mETZUfXlV9Q1Wvx7k352fBiDcUNaYPXb8D5gc2ytDXyH4cDyQDpUBezX21Vo3swxOBV1X1GmB4wIMNMEtQLdNc4BzPAhGJBJ4AzsV5kOnlIpLu0eQet9445uJlH4rImcBaYG+gg2wB5uL9Z3Eg8LGq3gLcEOA4Q9lcvO/DT4FrRWQJ8G6A4ww4exZfC6SqS0UkpUbxKGCTqm4GEJF5wHgRWYfz5Ot3VLVZSy6Ek8b0Ic5DW9vj/KI4KiKL3Ye2tnqN7MftQInbpjxgQYa4RvZhKTDd3eZVfPAYq1BmCSp89ML5BVApDzgF5xlxZwAdROQEVX0qGMG1EHX2oareBOA+vHW/JacG1fdZfBR4TEROx3lOoalffX34FHCfiFwBbAlCXAFlCSrMqeocYE6w4wgHqjo32DG0ZO6SINc22NDUS1VXA5c22DBM2DWo8LED6O3xPtktM96zPvQN68fmsz7EElQ4+RxIE5FUEWkDXIbzlGvjPetD37B+bD7rQyxBtUgi8m/gE2CgiOSJyLWqWgbchLMG0DpgvqquCWacocz60DesH5vP+rB+9rBYY4wxIclGUMYYY0KSJShjjDEhyRKUMcaYkGQJyhhjTEiyBGWMMSYkWYIKMyIyNdgxtHTWh75h/egbrbkfLUGFn1b7YfYh60PfsH70jVbbj5agjDHGhKRWdaNuly5dNCUlJdhh+FVeXh7JycnBDqNFsz70DetH32gN/ZiTk7NfVbvWLG9VTzNPSUlhxYoVwQ7Dr7Kzs8nKygp2GC2a9aFvWD/6RmvoRxHZWle5neIzxhgTklrVKb7MzExt6gjqD4vWsHZngY8j8r1Dhw6RmJgY7DBaNOtD37B+9I1Q78f0nglMvzCjWfsQkRxVzaxZbiMoY4wxIalVXYNqjub+hRAozvnq0cEOo0WzPvQN68fvlZaWkpeXR3FxcaO3LS6OISYmxg9R+c66deu8ahcTE0NycjLR0dFetbcEZYwxfpaXl0d8fDwpKSmISKO2PXz4MPHx8X6KLHBUlQMHDpCXl0dqaqpX29gpPmOM8bPi4mI6d+7c6OQUTkSEzp07N2oUaQnKGGMCoDUnp0qN7QNLUMYYY0KSJShjjGnFUlJS2L9/f7DDqJMlKGOMMSHJZvEZY0yAZc3NqlU2MWMiN558I0WlRZz34nlV5eXl5URGRjJ52GQmD5vM/qL9XDr/0mrbZk/ObvCYW7Zs4ZxzzmHkyJGsXLmSjIwMnn/+eQAee+wxFi1aRGlpKa+88gqDBg1i+fLlTJs2jeLiYmJjY3n22WcZOHAga9asYcqUKZSUlFBRUcFrr71GWloaL7zwAnPmzKGkpIRTTjmFJ598ksjIyGb1k42gjDGmldiwYQM33ngj69atIyEhgSeffBKALl26sHLlSm644QYefPBBAAYNGsSyZcv44osvuP/++7nrrrsAeOqpp5g2bRq5ubmsWLGC5ORk1q1bx8svv8xHH31Ebm4ukZGRvPjii82O10ZQxhgTYMcb8bSLbletvuZ9UF3adfFqxFSX3r17M2bMGAB+/vOfM2fOHAAmTJgAwMiRI3n99dcByM/PZ9KkSXz99deICKWlpQCMHj2aGTNmkJeXx4QJE0hLS+P9998nJyeHk08+GYCjR4/SrVu3JsXoKWRGUCLyjIjsFZHVHmX3icgOEcl1v87zqLtTRDaJyAYROTs4URtjTMtRc5p35fu2bdsCEBkZSVlZGQD33nsvY8eOZfXq1SxatKjq/qUrrriChQsXEhsby3nnnceSJUtQVSZNmkRubi65ubls2LCB++67r9nxhkyCAuYC59RR/rCqDnO/FgOISDpwGZDhbvOkiDTvZKcxxoS5bdu28cknnwDw0ksvcdppp9XbNj8/n169egEwd+7cqvLNmzfTr18/br75ZsaPH8+qVasYN24cr776Knv37gXgu+++Y+vWOlfQaJSQSVCquhT4zsvm44F5qnpMVb8FNgGj/BacMcaEgYEDB/LEE08wePBgDh48yA033FBv29tvv50777yT4cOHV42qAObPn8+QIUMYNmwYq1ev5uqrryY9PZ0HHniAs846i6FDh3LmmWeya9euZscbUsttiEgK8JaqDnHf3wdMBgqAFcCtqnpQRB4HPlXVF9x2/wTeUdVX69jnVGAqQFJS0sh58+YF4CcJnsLCQuLi4oIdRotmfegb1o/f69ChAyeccEKTtq2cxddcW7duZeLEiXz22WfN3ldzbNq0ifz8/GplY8eOrXO5jVCfJPFX4I+Aut//AlzTmB2o6tPA0+CsBxXuK1O2htU3/c360DesH7+3bt26Jj/w1VcPi42LiyMiIiLoD56NiYlh+PDhXrUNmVN8dVHVPaparqoVwN/5/jTeDqC3R9Nkt8wYY0wdUlJSWL16dcMNQ0hIJygR6eHx9mKgsncXApeJSFsRSQXSgOWBjs8YY4z/hMwpPhH5N5AFdBGRPGA6kCUiw3BO8W0BfgGgqmtEZD6wFigDfqWq5UEI2xhjjJ+ETIJS1cvrKP7ncdrPAGb4LyJjjDHBFNKn+IwxxrRelqCMMaaVyMvLY/z48aSlpdG/f3+mTZtGSUnJcbeZOXNmgKKrzRKUMca0AqrKhAkTuOiii/j666/ZuHEjhYWF3H333cfdLpgJKmSuQRljTGvwh0VrWLuzwOv23tyom94zgekXZhy3zZIlS4iJiWHKlCmA89y9hx9+mNTUVFJTU1m7di2PP/44ABdccAG33XYb7777LkePHmXYsGFkZGT45AnljWEjKGOMaQXWrFnDyJEjq5UlJCTQp0+fao8y8jRr1ixiY2PJzc0NeHICG0EZY0xANTTSqclXT5JoiWwEZYwxrUB6ejo5OTnVygoKCti2bRuJiYlUVFRUlVcurRFslqCMMaYVGDduHEVFRVXLvJeXl3PrrbcyefJk+vXrR25uLhUVFWzfvp3ly79/ME90dHTVYoWBZgnKGGNaARFhwYIFvPLKK6SlpTFgwABiYmKYOXMmY8aMITU1lfT0dG6++WZGjBhRtd3UqVMZOnQoV155ZcBjtmtQxhjTSvTu3ZtFixbVWVffJIjZs2cze/Zsf4ZVLxtBGWOMCUmWoIwxxoQkn57iE5GG7j4TYJeqDvDlcY0xJtSpKiIS7DCCqrEruPt6BPWNqiYc5yseOOLjYxpjTEiLiYnhwIEDjf4FHU5UlQMHDhATE+P1Nr6eJHFJU9uIyDPABcBeVR3ilnUCXgZScNaDmqiqB8X5M+RR4DygCJisqiubHb0xxvhBcnIyeXl57Nu3r9HbFhcXN+qXeiiLiYkhOTnZ6/Y+TVCqurkZbeYCjwPPe5TdAbyvqrNE5A73/e+Ac3FW0U0DTgH+6n43xpiQEx0dTWpqapO2zc7OZvjw4T6OqGXwyyQJETksIgU1vraLyAIR6VfXNqq6FPiuRvF44Dn39XPARR7lz6vjUyCxxvLwxhhjWjh/3Qf1CJAHvIQzMeIyoD+wEngGZ2l3bySp6i739W4gyX3dC9ju0S7PLdtFDSIyFZgKkJSURHZ2tvc/RQtUWFgY9j+jv1kf+ob1o2+05n70V4L6iaqe5PH+aRHJVdXfichdTdmhqqqINPoKo6o+DTwNkJmZqVlZWU05fIuRnZ1NuP+M/mZ96BvWj77RmvvRX/dBFYnIRBGJcL8mApVPH2xMktlTeerO/b7XLd8B9PZol+yWGWOMCRP+SlBXAlfhJJQ97uufi0gscFMj9rMQmOS+ngS86VF+tTh+AOR7nAo0xhgTBvxyis+dqXdhPdUf1lUoIv/GuTbVRUTygOnALGC+iFwLbAUmus0X40wx34QzzXyKz4I3xhgTEvySoERkAM7U7yRVHSIiQ3GuSz1Q3zaqenk9VePqaKvAr3wSrDHGmJDkr1N8fwfuBEoBVHUVzkw+Y4wxxiv+SlDtVHV5jbK6F703xhhj6uCvBLVfRPrjztgTkUup4x4lY4wxpj7+ug/qVzj3Hg0SkR3At8DP/XQsY4wxYcifs/jOEJH2QISqHvbHcYwxxoQvX68HdUs95QCo6kO+PJ4xxpjw5esRVLz7fSBwMs4NteDcE1Vz0oQxxhhTL18vt/EHABFZCoyoPLUnIvcBb/vyWMYYY8Kbv2bxJQElHu9L+P5J5MYYY0yD/DWL73lguYgscN9fhLMgoTHGGOMVf83imyEi7wKnuUVTVPULfxzLGGNMePL1LL6VqjoCQFVzgJzjtTHGGGPq4+sR1GARWXWcegE6+PiYxhhjwpCvE9QgL9qU+/iYxhhjwpCvp5lv9eX+KonIFuAwTnIrU9VMEekEvAykAFuAiap60B/HN8YYE3j+mmbuD2NVdZiqZrrv7wDeV9U04H33vTHGmDDRkhJUTeOB59zXz+FMZTfGGBMmWkqCUuA/IpIjIlPdsiRVrVzCYzd2I7AxxoQVcVZPD20i0ktVd4hIN+D/gP8BFqpqokebg6rasY5tpwJTAZKSkkbOmzcvQFEHR2FhIXFxccEOo0WzPvQN60ffaA39OHbs2ByPyzdV/PUkCZ9S1R3u973u0ylGAXtEpIeq7hKRHsDeerZ9GmdtKjIzMzUrKytAUQdHdnY24f4z+pv1oW9YP/pGa+7HkD/FJyLtRSS+8jVwFrAa50npk9xmk4A3gxOhMcYYf2gJI6gkYIG7plQU8JKqvisinwPzReRaYCswMYgxGmOM8bGQT1Du6rwn1VF+ABgX+IiMMcYEQsif4jPGGNM6WYIyxhgTkixBGWOMCUmWoIwxxoQkS1DGGGNCkiUoY4wxIckSlDHGmJBkCcpLqsrFL1/MzGUzOVR8KNjhGGNM2LME5aUjpUc4VnaMu5fcTd9H+nLne3eyp3BPsMMyxpiwZQnKS3Ft4lh85WJWTl3J2f3PZvZHs+n9cG+WfLsk2KEZY0xYCvlHHYWa4T2GM/+n89l4YCNP5zzNqF6jAHhh1Qt8e/BbfprxUwZ1GRTkKI0xpuWzEVQTDeg8gAfPepC4Ns46Lcu2LuP32b9n8BODSX8inXuW3EPu7tzgBmmMMS2YJSgf+duFf2P7b7bz2LmP0T2uO3/68E/c+f6dVfXzVs9jw/4NtIQFIo0xJhTYKT4fSk5I5qZRN3HTqJvYX7SfvUecNRQPFB3g8tcuB6BjTEcye2YyqtcoLhl8CcN7DA9myMYYE7IsQflJl3Zd6NKuCwCdYjux8aaNfLD1Az7f8TnLdy5n1oezSE5IZniP4azfv55L51/K4K6DGdR5EIO6DCIlMYUTk04koW1CkH8SY4wJjhadoETkHOBRIBL4h6rOCnJIdRIR0jqnkdY5jetGXAfA0dKjVGgFAGUVZfTr2I8vd3/J6+teryp/6/K3OH/A+Sz5dgl3L7mb3gm9SWqfROd2nenSrgs/Tf8pSXFJHCo+RH5xPp3bdbZTiMaYsNFiE5SIRAJPAGcCecDnIrJQVdcGNzLvxEbHVr0e0m0ICy9fCMCxsmNs+m4T2/K3cXKvk6vatI9uz5d7vmTfkX0cLD4IwA/7/pCkuCRe+uolfrX4VwBEEEH8Z/HEtYnjo2s+om9iX15e/TIvfvUicW3iaBfdjraRbWkb1ZY/jv0j7du054MtH7Bi5wraRrWtqmsb2ZZL0y8lMiKS9fvXs6NgB5ERkURKJFERUURHRpPZMxOAvII8Co4VEBURRaREEhkRSXRENL0SegGQX5xPSXkJIoIgiAiREkmHmA4AFJUWUV5RXqu+bVRbAErLS1G0qq7ye4TYJVRjwlmLTVDAKGCTu+IuIjIPGA+0iARVn7ZRbcnolkFGt4yqsh+n/pgfp/646n1ZRRkHjx4kMSaxqv4fF/6DA0cPsGrjKjp370xhSWHV6cHCkkLyCvIoLCmsuuH4WPkxpv9oOgBvbXyLBz95sFYsZellADz66aM8lfNUtbrYqFiK7i4C4I737uDFr16sVt+1XVf2/ta5Bnf1G1ezcMPCavX9O/Zn082bALjgpQv475b/Vqs/Kekkcn+ZC8CYZ8bw+c7Pq9Wf1uc0lk1ZBkD6E+ms27+uWgI7N+1cFl2+yDnWnP7kFeRV2/7S9Et5cYITc7c/dyP/WH5VnVYoUw5P4W8X/g2AdjPaVY1qK9006iYePOtBikqL6DS7U62+u/O0O5meNZ09hXtIeTSlVv2MH8/gltG3sPngZjKezKhV/+g5jzJ15FS+3P0lo/85ulb9P37yD6448Qo+2vYRZ/7rzFr1L1/6MhcOvJB3N73LhJcn1Kp/+4q3GZs6llfXvsqkNybVqv9g8gdk9szkudznuHHxjbXqc6bmMKjLIJ5Y/gS/e+93terX37QegFkfzuKBpQ/Uqs+7JY/EmETuXXIvj3z2SK36Q787RGREJL9+99f884t/VquLjYqt+mxdv/B65q2ZV62+a7uubJ62GYDLXr2Mt79+u1p9amIqq25YBTifvQ+2flCt/sRuJ/LxtR8DkDU3i5xdOdXqRyeP5j9X/QeAkU+PZOOBjdXqz+p/Fq9NfA2AQY8PYsfhHdXqJwyewHMXPQdA8kPJ1T57AFcNvYonz38SgA6zOlBaVkrkJ5FV9Tdm3sjsM2dTVFpE0oNJ1HT7qbdz74/uZe+RvfSf079W/f1Z9/Ob0b9h88HNnPRUrcXKefjsh7luxHWs2rOKMc+MqVX/9AVPc/mJl/Px9o85+4WzeeWnr3DOCefUaucLLTlB9QK2e7zPA06p2UhEpgJTAZKSksjOzg5IcIHW3/1fetd04mLjIBa+/OzLqrqHBj5Ua5svPv0CgLOjziZrTBalFaWUaiklFSWUVJSwbKmTAE6LPI1BJw2iQiuooIJyLQeo6stTo06l3+B+lGt5VZtoia6qHx09mpQTUlAUVUVR4qLiqupPjz2dgf0GVtUDJLZJrKofGz+WoSlDnXq3TVLM9/+WZySeQWY7ZzRX2SZZkqvqxyWO40jckWo/e2ppalX9+V3Pp6SipKqupLSEnsU9q+ov7nExSvVTp50KOpGdnU1pRSkTetZOAO2+a0d2djZFZUVc1OOiWvUReyLIzs4mvzS/zvrSvFKyD2ez/9h+ftL9J7XqD285TPaBbHYd3VVn/f5N+8nelc3eor111u9Yt4PsrdkcKjzEhUkX1qr/ZtU3FG4spKigqM76tSvXsrvNbsoOlXF+0vm16nOX50IxRJVE1Vn/2Uef0TayLbHfxXJut3Nr1X/wwQdESAQdD3esVR8lUVX/NklHk2rVx0bGVtX3Letbqz4hKqGqPo002nVrV62+S5suVfVDoobQrVu3avU9InpU1WfGZNK/W/Uk0Ke8z/ef/bjRHImt/tnz/Gxldcyq9tkD6HLk++Of0/UcSkpKiG4TXVUfnx9f9dmrq+/a7G9T9dmrq57dVH326qov3l5MdkE2+47tq7O+YEsB2Qey2Xl0J+d2O5fdG3aTnZdd+zg+IC31moWIXAqco6rXue+vAk5R1Zvq2yYzM1NXrFgRqBCDIjs7m6ysrGCH0aJZH/qG9aNvtIZ+FJEcVc2sWd6ST+LvAHp7vE92y4wxxoSBlpygPgfSRCRVRNoAlwELG9jGGGNMC9FiT/EBiMh5wCM408yfUdUZDbTfB2wNQGjGGGO811dVu9YsbNEJyhhjTPhqyaf4jDHGhDFLUMYYY0KSJShjjDEhyRKUMcaYkGQJyhhjTEiyBGWMMSYkWYIyxhgTkv4/oAUbIsXZ/3cAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"par_plot=eecomplex_plot_templets()\n",
"fig, [axmag, axphase]=plt.subplots(ncols=1, nrows=2)\n",
"par_plot.bode_plot_two_templet(antipar_data.ac_sim_mag_DF.index, \n",
" antipar_data.ac_sim_mag_DF['V1_[A][dB]'], antipar_data.ac_sim_phase_DF['V1_[A][deg]'],\n",
" axs=[axmag, axphase], title='Anti-Par Currents')\n",
"\n",
"axmag.semilogx(antipar_data.ac_sim_mag_DF.index, antipar_data.ac_sim_mag_DF['Vamm_load_[A][dB]'], label='Out')\n",
"axphase.semilogx(antipar_data.ac_sim_mag_DF.index, antipar_data.ac_sim_phase_DF['Vamm_load_[A][deg]'], label='Out')\n",
"\n",
"axmag.legend(); axphase.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Autotransformer"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Isolation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://www.allaboutcircuits.com/technical-articles/transformer-isolation/"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Test Bench Type"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Medical Type"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multi Winding"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cinter-tapped"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Current Transformer"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Y-Delta Converters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Citations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[1] ALL ABOUT ELECTRONICS. \"Self Inductance and Mutual Inductance Explained,\" YouTube, Feb 12, 2017. [Video file]. Available: https://youtu.be/hoTInTKij0o. [Accessed: Jul 18, 2021].\n",
"\n",
"[2] ALL ABOUT ELECTRONICS. \"Dot Convention in Magnetically Coupled Circuits,\" YouTube, Feb 18, 2017. [Video file]. Available: https://youtu.be/sILgO4sQmRs. [Accessed: Jul 18, 2021].\n",
"\n",
"[3] ALL ABOUT ELECTRONICS. \"Mutually Coupled Inductors in Series (Derivation / Proof and Examples),\" YouTube, Apr 21, 2017. [Video file]. Available: https://youtu.be/49OL_3L7BFA. [Accessed: Jul 18, 2021].\n",
"\n",
"[4] ALL ABOUT ELECTRONICS. \"Mutually Coupled Inductors in Parallel (Derivation / Proof and Examples),\" YouTube, Apr 24, 2017. [Video file]. Available: https://youtu.be/NacczEJj_iI. [Accessed: Jul 18, 2021].\n",
"\n",
"[5] B. Razavi, \"The Bridged T-Coil [A Circuit for All Seasons]\", IEEE Solid-State Circuits Magazine, vol. 7, no. 4, pp. 9-13, 2015. Available: 10.1109/mssc.2015.2474258 [Accessed 27 January 2021] or https://www.seas.ucla.edu/brweb/papers/Journals/BRFall15TCoil.pdf [Accessed: Jul 18, 2021].\n",
"\n",
"[6] Jordan Edmunds. \"Bridged T Coil Analysis Part 1 ,\" YouTube, Feb 23, 2018. [Video file]. Available: https://youtu.be/-kSSMOAhlwU. [Accessed: Jul 18, 2021].\n",
"\n",
"[7] Jordan Edmunds. \"Bridged T Coil Analysis Part 2 ,\" YouTube, Feb 23, 2018. [Video file]. Available: https://youtu.be/vr2oYehKC8Q. [Accessed: Jul 18, 2021].\n",
"\n",
"[8] Vogt, M. Hendrix and P. Nenzi, Ngspice User’s Manual Version 32 (Describes ngspice release version), 32nd ed. 2020, Chapter 12: Mixed-Mode and Behavioral Modeling with XSPICE.\n"
]
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