From 7c83b8c8ed2a118f470ea652d35ff68b63662cfb Mon Sep 17 00:00:00 2001 From: Gleb Lugovtsov Date: Thu, 21 Mar 2024 10:29:16 +0300 Subject: [PATCH] Solid-body electronic laba --- solid-dva-vaha/glass-R.png | Bin 0 -> 79459 bytes solid-dva-vaha/glass-back.png | Bin 0 -> 69099 bytes solid-dva-vaha/glass-exp.png | Bin 0 -> 85695 bytes solid-dva-vaha/glass-vah.png | Bin 0 -> 61462 bytes solid-dva-vaha/glass_diode.csv | 38 +++ solid-dva-vaha/plots.ipynb | 447 +++++++++++++++++++++++++++++++++ solid-dva-vaha/semi-R.png | Bin 0 -> 80861 bytes solid-dva-vaha/semi-back.png | Bin 0 -> 66681 bytes solid-dva-vaha/semi-exp.png | Bin 0 -> 74801 bytes solid-dva-vaha/semi-vah.png | Bin 0 -> 64169 bytes solid-dva-vaha/semi_diode.csv | 44 ++++ 11 files changed, 529 insertions(+) create mode 100644 solid-dva-vaha/glass-R.png create mode 100644 solid-dva-vaha/glass-back.png create mode 100644 solid-dva-vaha/glass-exp.png create mode 100644 solid-dva-vaha/glass-vah.png create mode 100644 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zM{Wt0Y@pIZu-y)BDGZn{d{VL#qUR@{?q4qng5*Z2uKL_bWe*TxLy863!6x|%@0F|} qxQ4}llGD4;2Xg=aPf`TdNc*gkJ6~9Sk~TypNk&@nW{%YTC;ta_f!O^3 literal 0 HcmV?d00001 diff --git a/solid-dva-vaha/glass_diode.csv b/solid-dva-vaha/glass_diode.csv new file mode 100644 index 0000000..17e89ea --- /dev/null +++ b/solid-dva-vaha/glass_diode.csv @@ -0,0 +1,38 @@ +U, mV I, uA +40 4 +61 8 +82 13 +105 22 +117 29 +136 42 +151 55 +171 77 +186 97 +213 140 +221 154 +229 170 +236 184 +242 198 +250 222 +265 252 +275 279 +286 309 +293 327 +299 347 +311 384 +326 431 +345 501 +358 547 +457 955 +587 1658 +660 2121 +720 2535 +-83 -0.75 +-644 -1.95 +-1435 -2.23 +-2172 -2.46 +-2805 -2.66 +-3620 -2.84 +-4370 -3.02 +-5136 -3.2 +-5784 -3.35 \ No newline at end of file diff --git a/solid-dva-vaha/plots.ipynb b/solid-dva-vaha/plots.ipynb new file mode 100644 index 0000000..61cd901 --- /dev/null +++ b/solid-dva-vaha/plots.ipynb @@ -0,0 +1,447 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "34e0daa0-210c-47fc-a373-361c6b45e6a3", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# %load /home/glebi/git/experiment-automation/processing_tools.py\n", + "import numpy as np\n", + "from scipy.optimize import curve_fit\n", + "import pandas as pd\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib\n", + "import scienceplots\n", + "\n", + "plt.style.use(['science', 'russian-font'])\n", + "\n", + "matplotlib.rcParams.update({\n", + " 'figure.figsize': [6, 3],\n", + " 'savefig.facecolor': 'white',\n", + " 'savefig.dpi': 300,\n", + " 'figure.dpi': 150.0,\n", + " 'font.size': 12.0,\n", + "})\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "fb4617fd-a533-4ed7-81be-6cb7adcfa815", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "data_glass = np.loadtxt(\"glass_diode.csv\", delimiter=\"\\t\", skiprows=1)\n", + "data_glass = np.sort(data_glass, axis=0)\n", + "\n", + "data_semi = np.loadtxt(\"semi_diode.csv\", delimiter=\"\\t\", skiprows=1)\n", + "data_semi = np.sort(data_semi, axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "23b64abd-1939-4fb0-9f47-56edf24941d4", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_glass[9:-4].T[0]*1e-3\n", + "I = data_glass[9:-4].T[1]*1e-6\n", + "\n", + "I_eq = lambda U, a, b, c: a * (np.exp(b * (U - c)) - 1)\n", + "popt, pcov = curve_fit(I_eq, U, I, p0=[.003, .1, .1])\n", + "\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(U*1e3, I_eq(U, *popt)*1e6, lw=.8, label=r\"Аппроксимация $I = I_s [e^{\\alpha(U-\\beta)} - 1]$\")\n", + "plt.text(40, 360, r\"$\\phi_T \\simeq \\alpha^{-1} = \\frac{kT}{e}\" + fr\" = {1/popt[1]*1e3:.0f}$ мВ\")\n", + "# plt.text(40, 300, fr\"$I_s = {popt[0]*1e6:.1f}$ мкА\")\n", + "# plt.yscale(\"log\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"Экспоненциальный участок ВАХ стеклянного диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"glass-exp.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6391e854-4f40-4cc6-8e01-25e1bceadd7c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_glass[6:].T[0]*1e-3\n", + "I = data_glass[6:].T[1]*1e-6\n", + "\n", + "line = lambda x, k, b: k * x + b\n", + "popt, pcov = curve_fit(line, U[-3:], I[-3:])\n", + "\n", + "plt.axhline(0, color='black', linewidth=.5)\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(U[18:]*1e3, line(U, *popt)[18:]*1e6, lw=.8)\n", + "plt.text(330, -250, fr\"$\\phi_K = {-popt[1]/popt[0]*1e3:.0f}$ мВ\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"ВАХ стеклянного диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"glass-vah.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "492671c1-3783-4fb4-be74-4e0e1f59ef45", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_glass[:9].T[0]*1e-3\n", + "I = data_glass[:9].T[1]*1e-6\n", + "\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.text(-5800, -1.3, r\"Видно, что $|I_\\text{обр}| \\sim \\sqrt{\\phi_K - U}$\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"ВАХ стеклянного диода (обратный ход)\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"glass-back.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ea41a79c-bbb1-4e73-ba01-3fdc3cd4fabc", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_glass[10:15].T[0]*1e-3\n", + "I = data_glass[10:15].T[1]*1e-6\n", + "\n", + "R = np.diff(U) / np.diff(I)\n", + "revI = 1/I[:-1]\n", + "\n", + "line = lambda x, k, b: k * x + b\n", + "popt, pcov = curve_fit(line, revI, R)\n", + "\n", + "plt.plot(revI, R*1e-3, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(revI, line(revI, *popt)*1e-3)\n", + "plt.text(3.5e4, 3.5, r\"$r_\\text{Б} = \" + fr\"{popt[1]:.0f} \" + r\"\\text{ }\\Omega$\")\n", + "plt.xlabel(r\"$1/I$, усл. ед. 1/А\")\n", + "plt.ylabel(r\"Сопротивление, $\\text{к}\\Omega$\")\n", + "# plt.title(r\"Зависимость $R = dU/dI$ от $1/I$ стеклянного диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"glass-R.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "98c9fc8d-4d88-4616-ba64-a052183a3820", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.061, 0.082, 0.105, 0.117, 0.136])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "U" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1979b1b8-9744-418f-b6e6-e7dcad82a584", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_semi[12:-8].T[0]*1e-3\n", + "I = data_semi[12:-8].T[1]*1e-6\n", + "\n", + "I_eq = lambda U, a, b, c: a * (np.exp(b * (U - c)) - 1)\n", + "popt, pcov = curve_fit(I_eq, U, I, p0=[1e-6, 20, .1])\n", + "\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(U*1e3, I_eq(U, *popt)*1e6, lw=.8, label=r\"Аппроксимация $I = I_s [e^{\\alpha(U-\\beta)} - 1]$\")\n", + "plt.text(150, 180, r\"$\\phi_T \\simeq \\alpha^{-1} = \\frac{kT}{e}\" + fr\" = {1/popt[1]*1e3:.0f}$ мВ\")\n", + "# plt.text(40, 300, fr\"$I_s = {popt[0]*1e6:.1f}$ мкА\")\n", + "# plt.yscale(\"log\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"Экспоненциальный участок ВАХ полупроводникового диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"semi-exp.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "05da42ad-1b57-445f-8435-e9ede4520057", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_semi[11:].T[0]*1e-3\n", + "I = data_semi[11:].T[1]*1e-6\n", + "\n", + "line = lambda x, k, b: k * x + b\n", + "popt, pcov = curve_fit(line, U[-4:], I[-4:])\n", + "\n", + "plt.axhline(0, color='black', linewidth=.5)\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(U[-10:]*1e3, line(U, *popt)[-10:]*1e6, lw=.8)\n", + "plt.text(400, 220, fr\"$\\phi_K = {-popt[1]/popt[0]*1e3:.0f}$ мВ\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"ВАХ полупроводникового диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"semi-vah.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "5ff3346c-4be4-4790-92ad-34b14cf676eb", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_semi[:11].T[0]*1e-3\n", + "I = data_semi[:11].T[1]*1e-6\n", + "\n", + "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.text(-6000, -.5, r\"Видно, что $|I_\\text{обр}| \\sim \\sqrt{\\phi_K - U}$\")\n", + "plt.xlabel(\"Напряжение, мВ\")\n", + "plt.ylabel(\"Сила тока, мкА\")\n", + "# plt.title(\"ВАХ полупроводникового диода (обратный ход)\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"semi-back.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "d511fe53-0d37-41d2-9099-3951e333e5cf", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4200. , 2555.55555556, 1714.28571429, 1461.53846154])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "R" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "2e083a61-df4a-40f9-bafe-30cb8bfa5f33", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "U = data_semi[10:14].T[0]*1e-3\n", + "I = data_semi[10:14].T[1]*1e-6\n", + "\n", + "R = np.diff(U) / np.diff(I)\n", + "revI = 1/I[:-1]\n", + "\n", + "line = lambda x, k, b: k * x + b\n", + "popt, pcov = curve_fit(line, revI, R)\n", + "\n", + "plt.plot(revI, R*1e-3, \"--.\", label=\"Экспериментальные данные\")\n", + "plt.plot(revI, line(revI, *popt)*1e-3)\n", + "plt.text(.6e7, 700, r\"$r_\\text{Б} = \" + fr\"{popt[1]*1e-3:.0f} \" + r\"\\text{ к}\\Omega$\")\n", + "plt.xlabel(r\"$1/I$, усл. ед. 1/А\")\n", + "plt.ylabel(r\"Сопротивление, $\\text{к}\\Omega$\")\n", + "# plt.title(r\"Зависимость $R = dU/dI$ от $1/I$ полупроводникового диода\")\n", + "plt.legend()\n", + "\n", + "plt.savefig(\"semi-R.png\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "e19f1a55-aed5-4de3-b90e-332c34e47c95", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + 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