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@genya0407
Created May 23, 2016 08:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 179,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from IPython.display import HTML\n",
"import numpy as np\n",
"from numpy import nan\n",
"import pandas as pd\n",
"import math\n",
"import matplotlib\n",
"from matplotlib import pyplot, pylab\n",
"from matplotlib.font_manager import FontProperties\n",
"\n",
"pylab.rcParams['figure.figsize'] = 20, 10\n",
"\n",
"fp = FontProperties(fname='/usr/share/fonts/TTF/migu-2m-regular.ttf', size=20)\n",
"p = FontProperties(fname='/usr/share/fonts/TTF/migu-2m-regular.ttf', size=20)\n",
"\n",
"micro = 10**(-6)\n",
"mili = 10**(-3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 6.1"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ω=1.80e+09\n"
]
}
],
"source": [
"print('Ω=%.2e' % (18/(0.01*micro)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 6.2"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90424.3555382\n",
"11.5391841038\n",
"4.79124377641\n",
"3.51200322366\n",
"2.93435656114\n"
]
},
{
"data": {
"image/png": 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ZdyNJkiRJKlUer5PUINdfD0cfbeAkSZIkSSo8J52kJmrePNhwQxg+HDbdNOtuJEmSJEml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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8271f3ae10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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gvs76mVIAAAAAnFtEKQAAAACGE6UAAAAAGE6UAgAAAGA4UQoAAACA4UQpAAAA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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8271f61198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data = pd.DataFrame({\n",
" \"2\": {\n",
" \"電圧(V)\": [1.9*mili , 102*mili , 499*mili , 1003*mili, 5 , 10],\n",
" \"電流(A)\": [8.7*micro, 241*micro, 280*micro, 282*micro, 287*micro, 283*micro]\n",
" },\n",
" \"2.5\": {\n",
" \"電圧(V)\": [1.9*mili, 50*mili ,100*mili, 150*mili, 297*mili, 200*mili , 350*mili , 400*mili ,500*mili , 1 ,5 ,8],\n",
" \"電流(A)\": [0.2*mili, 4.6*mili,8.7*mili, 12*mili , 18*mili , 14.7*mili, 19.3*mili, 20.1*mili,20.4*mili, 21.5*mili,24.5*mili,30*mili]\n",
" },\n",
" \"3\": {\n",
" \"電圧(V)\": [0.9*mili, 49*mili ,100*mili , 200*mili, 300*mili , 500*mili, 751*mili, 1 , 1.5 , 1.99],\n",
" \"電流(A)\": [0.3*mili, 14.5*mili,28.9*mili, 54*mili , 75.3*mili, 104*mili, 121*mili, 128*mili, 133*mili, 136*mili]\n",
" },\n",
" \"3.5\": {\n",
" \"電圧(V)\": [0.8*mili , 50*mili , 100*mili , 200*mili , 350*mili, 500*mili, 600*mili, 800*mili, 1 ,1.1],\n",
" \"電流(A)\": [0.34*mili, 19.4*mili, 37.6*mili, 73.3*mili, 121*mili, 163*mili, 186*mili, 222*mili, 250*mili,258*mili]\n",
" },\n",
" \"4\": {\n",
" \"電圧(V)\": [6.7*mili , 50*mili , 100*mili ,200*mili ,300*mili, 350*mili, 502*mili, 700*mili,800*mili,903*mili],\n",
" \"電流(A)\": [0.37*mili, 22.2*mili, 44.1*mili,85.8*mili,126*mili, 144*mili, 198*mili, 258*mili,281*mili,304*mili]\n",
" }\n",
"})\n",
"\n",
"# MOSFETの定格負荷の曲線\n",
"x = list(map(lambda x: x*0.1, range(8,100)))\n",
"y = list(map(lambda a: (350 * 10**(-3))/a, x))\n",
"pyplot.plot(x,y,'r-')\n",
"\n",
"a_dict = {\n",
" \"Vg\" : [],\n",
" \"1/Ron\": []\n",
"}\n",
"\n",
"# 傾きを表す直線のプロット\n",
"# V_g - R_on^-1 特性のデータ取得\n",
"for (key, d), r in zip(data.items(), [10 ,210*mili ,510*mili,810*mili,1]):\n",
" pyplot.plot(d['電圧(V)'],d['電流(A)'],'o')\n",
" \n",
" # 傾きを計算\n",
" X = list(filter(lambda arg: arg <= r, d['電圧(V)']))\n",
" Y = d['電流(A)'][0:len(X)]\n",
" A = np.array([X,np.ones(len(X))])\n",
" A = A.T\n",
" a,b = np.linalg.lstsq(A, Y)[0]\n",
" \n",
" # V_g - R_on^-1 特性を記録\n",
" a_dict[\"Vg\"].append(float(key))\n",
" a_dict[\"1/Ron\"].append(a)\n",
" \n",
" # 傾きを表す直線のプロット\n",
" X = np.linspace(0,2,100)\n",
" pyplot.plot(X, list(map(lambda x: x*a + b, X)), 'b-')\n",
"\n",
"pylab.title('電流電圧特性', fontproperties=fp)\n",
"pylab.xlabel('電圧(V)', fontproperties=fp)\n",
"pylab.ylabel('電流(A)', fontproperties=fp)\n",
"pyplot.show()\n",
"\n",
"pyplot.plot(a_dict[\"Vg\"], a_dict[\"1/Ron\"], 'o')\n",
"pylab.title('Vg - 1/Ron', fontproperties=fp)\n",
"pylab.xlabel('Vg', fontproperties=fp)\n",
"pylab.ylabel('1/Ron', fontproperties=fp)\n",
"pyplot.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 6.3"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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8f8m5D3T3Q6fXM2cJDQAAAKyLCy88L2ecsT03F1PX54wztufCC89bt0wcuVE2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\nVe38VgRF93QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8271ca7cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kSZIkaeJqtFD69ldVPTs7y2AwYDAYTDvnJGm3dVxm1/qltqV2QW5bahfktqV2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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82745ba1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data = pd.DataFrame(\n",
" {\n",
" \"電圧(V)\": [0,500*mili ,1 ,1.5 , 2 ,2.5 , 2.2 , 2.35 , 2.43 ,2.75 ,2.65 , 2.8 , 1.6 , 1.7 ,1.8 , 1.9 , 2.1],\n",
" \"電流(A)\": [0,0.001*mili,0.001*mili,0.002*mili, 0.3*mili,24.3*mili, 2.5*mili, 9*mili, 17*mili,75*mili,51*mili, 86*mili, 0.003*mili, 0.007*mili,0.02*mili, 0.078*mili, 0.985*mili]\n",
" }\n",
")\n",
"\n",
"for l in [False, True]:\n",
" x = list(map(lambda x: x*0.1, range(8,30)))\n",
" y = list(map(lambda a: 87.5*mili, x))\n",
" \n",
" pyplot.xticks(np.arange(0, 10, 0.1))\n",
" pyplot.grid(which='minor', linestyle='-')\n",
" pyplot.grid(which='major', linestyle='-')\n",
" if l:\n",
" pyplot.yscale('log')\n",
" pyplot.plot(x,y,'r-')\n",
" pyplot.plot(data['電圧(V)'],data['電流(A)'],'o')\n",
"\n",
" pylab.title('電流電圧特性', fontproperties=fp)\n",
" pylab.xlabel('電圧(V)', fontproperties=fp)\n",
" pylab.ylabel('電流(A)', fontproperties=fp)\n",
" pyplot.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 195,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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h//3h/PNh003rrlF3LruTJEmSJElta/58ePe74bvfhd12q7tm6HLZnSRJkiRJ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\n5J5PkiRJkjSIP/wBdt0V9tmn9Qp3kqShddrzyeGTJEmSJK1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SJEmSusY9nyRJkiRJkjQq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\nXePwSZIkSZIkSV3z/wFHW+1VfmO/cQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82716e8898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pyplot.plot(data['電圧(V)'],list(map(lambda x: math.sqrt(x), data['電流(A)'])),'o')\n",
"\n",
"X = []\n",
"Y = []\n",
"for v, i in zip(data['電圧(V)'], data['電流(A)']):\n",
" if v >= 2.4:\n",
" X.append(v)\n",
" Y.append(math.sqrt(i))\n",
"\n",
"A = np.array([X,np.ones(len(X))])\n",
"A = A.T\n",
"a,b = np.linalg.lstsq(A, Y)[0]\n",
"X = np.linspace(1.9,3,100)\n",
"pyplot.plot(X, list(map(lambda x: x*a + b, X)), 'b-')\n",
"\n",
"pylab.title('電流電圧特性', fontproperties=fp)\n",
"pylab.xlabel('電圧(V)', fontproperties=fp)\n",
"pylab.ylabel('電流(A^(1/2))', fontproperties=fp)\n",
"pylab.grid(which='major')\n",
"pylab.grid(which='minor')\n",
"pyplot.xticks(np.arange(0, 3, 0.1))\n",
"pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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