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Lugovtsov Gleb 2022-10-03 13:24:58 +03:00
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433
3.2.5-oscillating-circuit/processing.ipynb Normal file
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{
"cells": [
{
"cell_type": "code",
"execution_count": 7,
"id": "4c18befe-eab7-4708-8a74-e9441ece565c",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.optimize import curve_fit\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"id": "527687f5-fb63-42ed-8c58-8bc0947710a9",
"metadata": {},
"source": [
"#### Резонансная частота"
]
},
{
"cell_type": "markdown",
"id": "f52fc1dd-97d6-4e7a-b7dd-8a22bb8e372d",
"metadata": {},
"source": [
"$\\nu_0 = \\dfrac{1}{2\\pi\\sqrt{LC}}$"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "04171738-ae97-463b-88b6-b03b55fdd617",
"metadata": {},
"outputs": [],
"source": [
"def nu_0(L, C):\n",
" return 1 / (2 * np.pi * np.sqrt(L * C))"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "87c14a27-7683-433e-9705-51496e137f17",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"1591.5494309189535"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nu_0(100e-3, 0.1e-6)"
]
},
{
"cell_type": "markdown",
"id": "33a9c25f-3478-497c-901a-c0950a8eda55",
"metadata": {},
"source": [
"## R = 0 Ом"
]
},
{
"cell_type": "markdown",
"id": "5090862a-7622-49a9-b593-fc9ec6c2fc4e",
"metadata": {},
"source": [
"freq = 1588 Hz\n",
"\n",
"period = 35.322 ms\n",
"\n",
"N = 30 cycles"
]
},
{
"cell_type": "markdown",
"id": "e90b3bb4-0a43-41a4-b492-56aa947dcde0",
"metadata": {},
"source": [
"#### Логарифмический декремент затухания для возрастающего участка"
]
},
{
"cell_type": "markdown",
"id": "cdea4329-0b53-42a2-adde-7732df34fce9",
"metadata": {},
"source": [
"$\\Theta = \\dfrac1n \\ln{\\dfrac{U_0 - U_k}{U_0 - U_{k+n}}}$"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "e779f269-18e0-4fcf-8246-1d583d807edb",
"metadata": {},
"outputs": [],
"source": [
"def Theta_incr(U0, U1, U2, n):\n",
" return 1/n * np.log((U0 - U1) / (U0 - U2))"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "bd9fdd97-683e-433d-92d4-f9de5128a7ab",
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(r'raw-data/zug-incr_0-Ohm.csv')"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "e5ddc315-92fa-4f83-ad2b-2c3fce1dcbb8",
"metadata": {},
"outputs": [],
"source": [
"U0 = df['U0[mV]']\n",
"U1 = df['U1[mV]']\n",
"U2 = df['U2[mV]']\n",
"n = df['n']"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "3b8e013b-90e0-4362-9cc7-37dd8ed80e91",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.111672\n",
"1 0.115525\n",
"2 0.115721\n",
"3 0.113310\n",
"dtype: float64"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Theta_incr(U0, U1, U2, n)"
]
},
{
"cell_type": "markdown",
"id": "e060b5da-df82-4dd3-9460-4dda42d95439",
"metadata": {},
"source": [
"#### Логарифмический декремент затухания для затухающего участка"
]
},
{
"cell_type": "markdown",
"id": "8c74f90a-5e1f-4c15-bc02-4d1e92969c3e",
"metadata": {},
"source": [
"$\\Theta = \\dfrac1n \\ln{\\dfrac{U_m}{U_{m+n}}}$"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "8fa641b1-02ff-4dcf-a96f-a1d5f4db4796",
"metadata": {},
"outputs": [],
"source": [
"def Theta_decr(U1, U2, n):\n",
" return 1/n * np.log((U1) / (U2))"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "3f2b73c7-ae5d-4b0d-9c06-6e8b166e8e43",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"df = pd.read_csv(r'raw-data/zug-decr_0-Ohm.csv')"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "19e0dea5-398d-4a9a-9b85-b2d40b490e58",
"metadata": {},
"outputs": [],
"source": [
"U1 = df['U1[mV]']\n",
"U2 = df['U2[mV]']\n",
"n = df['n']"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "ee60a941-494b-41eb-bbfa-8acc7f1a5748",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.096905\n",
"1 0.096698\n",
"2 0.091629\n",
"3 0.091964\n",
"dtype: float64"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Theta_decr(U1, U2, n)"
]
},
{
"cell_type": "markdown",
"id": "4e9e0a89-497c-47c6-8d3a-fe53c8c3a800",
"metadata": {},
"source": [
"## R = 100 Ом"
]
},
{
"cell_type": "markdown",
"id": "0e45b382-3569-4936-85ab-3a7f000d3a59",
"metadata": {},
"source": [
"freq = 1588 Hz\n",
"\n",
"period = 12 ms\n",
"\n",
"N = 8 cycles"
]
},
{
"cell_type": "markdown",
"id": "0144e75d-9946-4e5c-92ae-aeb25e3c9c2e",
"metadata": {},
"source": [
"#### Логарифмический декремент затухания для возрастающего участка"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "1b70235a-4380-4dad-b79d-e8c61456db1b",
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(r'raw-data/zug-incr_100-Ohm.csv')"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "19501640-3c96-4bde-b319-a8a93a8af87a",
"metadata": {},
"outputs": [],
"source": [
"U0 = df['U0[mV]']\n",
"U1 = df['U1[mV]']\n",
"U2 = df['U2[mV]']\n",
"n = df['n']"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "6a45f573-5c8a-4305-b19a-a9b2a1c3c812",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.390079\n",
"1 0.433750\n",
"2 0.410715\n",
"3 0.449025\n",
"dtype: float64"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Theta_incr(U0, U1, U2, n)"
]
},
{
"cell_type": "markdown",
"id": "7614fa42-560a-43f2-8d6f-1f588cf9370b",
"metadata": {},
"source": [
"#### Логарифмический декремент затухания для затухающего участка"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "59668c21-71a4-4344-b872-404bb4f57781",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"df = pd.read_csv(r'raw-data/zug-decr_100-Ohm.csv')"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "503635a4-5238-48d0-ae6c-8683229dd21a",
"metadata": {},
"outputs": [],
"source": [
"U1 = df['U1[mV]']\n",
"U2 = df['U2[mV]']\n",
"n = df['n']"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "00f8bf87-300b-4a5c-970e-8b7ba27c704e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.302753\n",
"1 0.270310\n",
"2 0.282851\n",
"3 0.315313\n",
"dtype: float64"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Theta_decr(U1, U2, n)"
]
},
{
"cell_type": "markdown",
"id": "efc47c94-16e9-4563-b50d-429068642829",
"metadata": {},
"source": [
"**50 Hz**\n",
"\n",
"L = 100.10 mH\n",
"\n",
"R1 = 0.028 Ohm\n",
"\n",
"R2 = 100.02 Ohm"
]
},
{
"cell_type": "markdown",
"id": "f6adb735-9274-4a05-b9b2-d85e185fec62",
"metadata": {},
"source": [
"**500 Hz**\n",
"\n",
"L = 100.08 mH\n",
"\n",
"R1 = 0.029 Ohm\n",
"\n",
"R2 = 100.02"
]
},
{
"cell_type": "markdown",
"id": "3f1ea607-25e1-4d4b-a714-1bfc49aebe29",
"metadata": {},
"source": [
"**1500 Hz**\n",
"\n",
"L = 100.10 mH\n",
"\n",
"R1 = 0.03 Ohm\n",
"\n",
"R2 = 100.02 Ohm"
]
}
],
"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": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}

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3.2.5-oscillating-circuit/raw-data/U-on-nu_0Ohm.csv Normal file
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U[mV],nu[Hz]
1350,1588
1260,1578
1070,1568
888,1558
728,1548
608,1538
512,1528
448,1518
392,1508
352,1498
1230,1598
1050,1608
864,1618
736,1628
648,1638
552,1648
496,1658
448,1668
400,1678
368,1688
336,1698
1 U[mV] nu[Hz]
2 1350 1588
3 1260 1578
4 1070 1568
5 888 1558
6 728 1548
7 608 1538
8 512 1528
9 448 1518
10 392 1508
11 352 1498
12 1230 1598
13 1050 1608
14 864 1618
15 736 1628
16 648 1638
17 552 1648
18 496 1658
19 448 1668
20 400 1678
21 368 1688
22 336 1698

19
3.2.5-oscillating-circuit/raw-data/U-on-nu_100Ohm.csv Normal file
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U[mV],nu[Hz]
336,1588
320,1548
280,1518
240,1488
208,1458
192,1438
150,1418
128,1388
104,1348
314,1628
286,1658
256,1688
218,1728
190,1768
162,1818
144,1868
128,1928
108,2028
1 U[mV] nu[Hz]
2 336 1588
3 320 1548
4 280 1518
5 240 1488
6 208 1458
7 192 1438
8 150 1418
9 128 1388
10 104 1348
11 314 1628
12 286 1658
13 256 1688
14 218 1728
15 190 1768
16 162 1818
17 144 1868
18 128 1928
19 108 2028

5
3.2.5-oscillating-circuit/raw-data/zug-decr_0-Ohm.csv Normal file
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U1[mV],U2[mV],n
536,272,7
488,248,7
440,176,10
440,160,11
1 U1[mV] U2[mV] n
2 536 272 7
3 488 248 7
4 440 176 10
5 440 160 11

5
3.2.5-oscillating-circuit/raw-data/zug-decr_100-Ohm.csv Normal file
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U1[mV],U2[mV],n
124,50,3
90,40,3
124,40,4
124,66,2
1 U1[mV] U2[mV] n
2 124 50 3
3 90 40 3
4 124 40 4
5 124 66 2

5
3.2.5-oscillating-circuit/raw-data/zug-incr_0-Ohm.csv Normal file
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U0[mV],U1[mV],U2[mV],n
656,184,440,7
656,272,464,6
656,232,488,8
656,184,504,10
1 U0[mV] U1[mV] U2[mV] n
2 656 184 440 7
3 656 272 464 6
4 656 232 488 8
5 656 184 504 10

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3.2.5-oscillating-circuit/raw-data/zug-incr_100-Ohm.csv Normal file
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U0[mV],U1[mV],U2[mV],n
182,38,116,2
182,82,140,2
182,38,140,3
182,82,156,3
1 U0[mV] U1[mV] U2[mV] n
2 182 38 116 2
3 182 82 140 2
4 182 38 140 3
5 182 82 156 3