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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"source": [ | ||
"\r\n" | ||
], | ||
"metadata": {} | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 1, | ||
"source": [ | ||
"from dimmer import Dimmer\r\n", | ||
"import matplotlib.pyplot as plt\r\n", | ||
"import numpy as np\r\n", | ||
"\r\n", | ||
"dimmer = Dimmer(frec=1, amp=1)" | ||
], | ||
"outputs": [], | ||
"metadata": {} | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 3, | ||
"source": [ | ||
"print(f'Duty 100% = {dimmer.convert_duty_rms(100):.4f} v')\r\n", | ||
"print(f'Rms 220v = {dimmer.convert_rms_duty(220):.4f} %')\r\n", | ||
"print(f'amplitud = {dimmer.amplitud}')\r\n", | ||
"print(f'convert_duty_rms = {dimmer.convert_duty_rms(100)}')\r\n", | ||
"print(f'convert_rms_duty = {dimmer.convert_rms_duty(0.7)}')\r\n", | ||
"print(f'frequency = {dimmer.frequency}')\r\n", | ||
"print(f'solve_tint_for_duty = {dimmer.solve_tint_for_duty(100)}')\r\n", | ||
"print(f'time_interrupt = {dimmer.time_interrupt}')\r\n", | ||
"print(f'v_dimmer = {dimmer.v_dimmer(0.1)}')\r\n", | ||
"print(f'_v_sine = {dimmer._v_sine(0.1)}')\r\n", | ||
"print(f'vrms_num = {dimmer.vrms_num()}')\r\n", | ||
"print(f'vrms_simbolic = {dimmer.vrms_simbolic()}')" | ||
], | ||
"outputs": [ | ||
{ | ||
"output_type": "stream", | ||
"name": "stdout", | ||
"text": [ | ||
"Duty 100% = 70.7107 v\n", | ||
"Rms 220v = 31112.6984 %\n", | ||
"amplitud = 1\n", | ||
"convert_duty_rms = 70.71067811865476\n", | ||
"convert_rms_duty = 98.99494936611664\n", | ||
"frequency = 1\n", | ||
"solve_tint_for_duty = 0.0\n", | ||
"time_interrupt = 0.5\n", | ||
"v_dimmer = 0\n", | ||
"_v_sine = 0.5877852522924731\n", | ||
"vrms_num = 0.0\n", | ||
"vrms_simbolic = 0.0\n" | ||
] | ||
} | ||
], | ||
"metadata": {} | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"source": [], | ||
"outputs": [], | ||
"metadata": {} | ||
} | ||
], | ||
"metadata": { | ||
"orig_nbformat": 4, | ||
"language_info": { | ||
"name": "python", | ||
"version": "3.9.1", | ||
"mimetype": "text/x-python", | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"pygments_lexer": "ipython3", | ||
"nbconvert_exporter": "python", | ||
"file_extension": ".py" | ||
}, | ||
"kernelspec": { | ||
"name": "python3", | ||
"display_name": "Python 3.9.1 64-bit ('env': venv)" | ||
}, | ||
"interpreter": { | ||
"hash": "a4046a09f199e48e61396275ea0e14da7d6ee49ffd95343aa82a9cc54eb636e7" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 2 | ||
} |
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import numpy as np | ||
from scipy.optimize import bisect | ||
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class Dimmer: | ||
def __init__(self, frec, amp, time_int=0) -> None: | ||
self.frequency = frec | ||
self.amplitud = amp | ||
self.time_interrupt = time_int | ||
self._periode = 1 / frec | ||
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def _v_sine(self, t): | ||
omega = 2 * np.pi * self.frequency | ||
return self.amplitud * np.sin(omega * t) | ||
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def v_dimmer(self, t): | ||
per = self._periode | ||
tint = self.time_interrupt | ||
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if (0 <= t and t < tint): | ||
return 0 | ||
elif (tint <= t and t < 0.5 * per): | ||
return self._v_sine(t) | ||
elif (0.5*per <= t and t < 0.5*per + tint): | ||
return 0 | ||
elif (0.5*per + tint <= t and t < per): | ||
return self._v_sine(t) | ||
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def vrms_num(self): | ||
t_series = np.arange(0, self._periode, self._periode / 200) | ||
v_series = [self.v_dimmer(t) for t in t_series] | ||
v_sum = 0 | ||
for i in v_series: | ||
v_sum = v_sum + i**2 | ||
rms = np.sqrt(v_sum / len(v_series)) | ||
return rms | ||
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def vrms_simbolic(self): | ||
amp, omega = self.amplitud, 2 * np.pi * self.frequency | ||
per, tint = self._periode, self.time_interrupt | ||
T1, T2 = 0, per | ||
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def sine_integrate(t): | ||
int_a = amp ** 2 | ||
int_b = t / 2 | ||
int_c = (np.sin(2*t*omega) / (4*omega)) | ||
sine_int = int_a * (int_b - int_c) | ||
return sine_int | ||
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rms_a = 1 / (T2 - T1) | ||
rms_b1 = sine_integrate(T2 / 2) | ||
rms_b2 = sine_integrate(tint) | ||
rms_b = (rms_b1 - rms_b2) * 2 | ||
rms = np.sqrt(rms_a * rms_b) | ||
return rms | ||
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def convert_rms_duty(self, vrms): | ||
vrms_max = np.sqrt(2) * 0.5 * self.amplitud | ||
vrms_duty = 100 * vrms / vrms_max | ||
return vrms_duty | ||
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def convert_duty_rms(self, vrms_duty): | ||
vrms_max = np.sqrt(2) * 0.5 * self.amplitud | ||
vrms = vrms_duty * vrms_max | ||
return vrms | ||
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def solve_tint_for_duty(self, duty_perc): | ||
def function(tint, bias=0): | ||
self.time_interrupt = tint | ||
vrms_max = np.sqrt(2) * 0.5 * self.amplitud | ||
vrms_duty = self.vrms_simbolic() / vrms_max | ||
return vrms_duty - bias | ||
root = bisect(function, 0, self._periode * 0.5, args=(duty_perc / 100)) | ||
return root | ||
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