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@akirayou
Created September 21, 2020 13:14
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"\n",
"import numpy as np\n",
"import math\n",
"from scipy.integrate import LSODA\n",
"\n",
"\"\"\"\n",
"以下の回路をシミュレーション:交流電源Pと直列L,C,R\n",
" +---L-C-R-+\n",
"P~ |\n",
" +---------+\n",
"\"\"\"\n",
"def fun(t,y):\n",
" [Pv,Cv,Pi,Pvc]=y \n",
" #電源電圧Pv は sin'(t)=cos(t),cost'(t)=-sin(t)の関係を使って PvとPvcを使って生成している\n",
" #トリビアルなテクニックなのでPv=sin(t)という事以外は無視してよい。\n",
" L=2\n",
" C=3\n",
" R=1\n",
" #下の偏微分の式で使う値を、定数L,C,Rと、偏微分で決まる状態Cv,Piを使って計算\n",
" Rv=Pi*R\n",
" Lv=Pv-Cv-Rv\n",
" #偏微分で与えられる公式から偏微分部分だけを求めて代入(Cの電圧Cvと電源Pを流れる電流Pi) \n",
" dCv_dt=Pi*C \n",
" dPi_dt=Lv/L \n",
" return([ -Pvc,dCv_dt,dPi_dt,Pv])\n",
"\n",
"\n",
"#t0,y0が初期条件 t_boundが何秒まで計算するか \n",
"ode=LSODA(fun,t0=0,y0=[1,0,0,0 ],t_bound=50 )\n",
"\n",
"log_t=[]\n",
"log_y=[]\n",
"while ode.status==\"running\": #statusがrunnignの間だけ計算する\n",
" ode.step()\n",
" #stepでの時間幅は計算精度的にちょうど良い所が自動的に選ばれる\n",
" \n",
" #時間軸的により細かいデータが欲しいときは間の値を補完して使う\n",
" t=(ode.t+ode.t_old)/2 #例えばtとt_old(前回のstep)の中間点を計算\n",
" y=ode.dense_output()(t)\n",
" log_t.append(t)\n",
" log_y.append(y)\n",
" \n",
" #step時点の値を取得するだけなら単純に以下のみでよい\n",
" log_t.append(ode.t)\n",
" log_y.append(ode.y)\n",
"log_t=np.array(log_t)\n",
"log_y=np.array(log_y)\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x14653586388>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.plot(log_t,log_y[:,0])\n",
"plt.show()\n",
"plt.plot(log_t,log_y[:,1])\n",
"plt.show()\n",
"\n",
"plt.plot(log_t,log_y[:,2])\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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