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E1003_KG_MPWR/modeling/tpl5111resistorfir.ipynb
ddclark ef461a9303 - layout complete 
- passing PCBWAY DRC
2025-10-29 19:49:38 -07:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"id": "9561a4a9-47ea-4fa1-ae25-b810c398c8b9",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"import pandas as pd\n",
"from pandas_ods_reader import read_ods\n",
"\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "36e5ba78-77d9-44e5-9ab8-9f8dea64eb70",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib widget"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1414c71d-0978-482c-a9d5-f3cdbfad7c58",
"metadata": {},
"outputs": [],
"source": [
"tpl5111 = read_ods('./timeout_vs_resistance.ods')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "bbd876c1-92c1-4206-9cea-9cd881c492ea",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Resistance</th>\n",
" <th>Time</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>5.200</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>6.790</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>7.640</td>\n",
" <td>3.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>8.300</td>\n",
" <td>4.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>8.850</td>\n",
" <td>5.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>9.270</td>\n",
" <td>6.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>9.710</td>\n",
" <td>7.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>10.180</td>\n",
" <td>8.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>10.680</td>\n",
" <td>9.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>11.200</td>\n",
" <td>10.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>14.410</td>\n",
" <td>20.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>16.780</td>\n",
" <td>30.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>18.750</td>\n",
" <td>40.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>20.047</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>22.020</td>\n",
" <td>60.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>29.350</td>\n",
" <td>120.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>34.730</td>\n",
" <td>180.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>39.110</td>\n",
" <td>240.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>42.900</td>\n",
" <td>300.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>46.290</td>\n",
" <td>360.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>49.380</td>\n",
" <td>420.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>21</th>\n",
" <td>52.240</td>\n",
" <td>480.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>54.920</td>\n",
" <td>540.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>23</th>\n",
" <td>57.440</td>\n",
" <td>600.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>77.570</td>\n",
" <td>1200.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>92.430</td>\n",
" <td>1800.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>104.670</td>\n",
" <td>2400.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>115.330</td>\n",
" <td>3000.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>124.910</td>\n",
" <td>3600.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>29</th>\n",
" <td>149.390</td>\n",
" <td>5400.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>30</th>\n",
" <td>170.000</td>\n",
" <td>7200.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Resistance Time\n",
"0 5.200 1.0\n",
"1 6.790 2.0\n",
"2 7.640 3.0\n",
"3 8.300 4.0\n",
"4 8.850 5.0\n",
"5 9.270 6.0\n",
"6 9.710 7.0\n",
"7 10.180 8.0\n",
"8 10.680 9.0\n",
"9 11.200 10.0\n",
"10 14.410 20.0\n",
"11 16.780 30.0\n",
"12 18.750 40.0\n",
"13 20.047 50.0\n",
"14 22.020 60.0\n",
"15 29.350 120.0\n",
"16 34.730 180.0\n",
"17 39.110 240.0\n",
"18 42.900 300.0\n",
"19 46.290 360.0\n",
"20 49.380 420.0\n",
"21 52.240 480.0\n",
"22 54.920 540.0\n",
"23 57.440 600.0\n",
"24 77.570 1200.0\n",
"25 92.430 1800.0\n",
"26 104.670 2400.0\n",
"27 115.330 3000.0\n",
"28 124.910 3600.0\n",
"29 149.390 5400.0\n",
"30 170.000 7200.0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tpl5111"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "1dcc552a-4342-4a78-84a9-7317e41fc7a7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Resistance'>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "483048a2b43b4ee0afa970df4ff822d2",
"version_major": 2,
"version_minor": 0
},
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",
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' 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" </div>\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tpl5111.plot(x='Resistance', marker='o')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "6b72785f-1ce4-4941-8a62-dab00927759d",
"metadata": {},
"outputs": [],
"source": [
"def Rext(t):\n",
"\n",
" if (100 < t) and (t <=1000):\n",
" a = 0.2617\n",
" b = -56.2407\n",
" c = 5957.7934\n",
"\n",
" Rext = 100 * ((-b + np.sqrt(b**2 - 4 * a * (c - 100 * t))) / (2 * a))\n",
" \n",
" return Rext"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "130e11fc-fbeb-480e-8b25-22538ed68a5d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"np.float64(68424.16282372586)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Rext(15 * 60)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d21a9b11-4c7f-43db-89c9-f715e7f76ea2",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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