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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
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"source": [ | |
"# <font color=\"#E08D49\">Trabajo: Cargas y corriente eléctrica</font>\n", | |
"# Ejemplo de resolución de circuito con Spice!\n", | |
"Vamos a trabajar un circuito que consta de una resistencia de 100 k$\\Omega$, una pila de 10 V y un condensador de 0.1$\\mu$F.\n", | |
"\n", | |
"* Realizaremos en el netlist del circtuito con [Ahkab](https://github.com/ahkab/ahkab).\n", | |
"* Con Ahkab también ejecutaremos un análisis de tipo `.tran`.\n", | |
"* Pintaremos el circuito con [SchemDraw](http://cdelker.bitbucket.org/SchemDraw.html)." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
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"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Incluimos frameworks necesarios" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"button": false, | |
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"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
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} | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import SchemDraw as SchemDraw\n", | |
"import SchemDraw.elements as SchemDrawElement\n", | |
"import numpy as np\n", | |
"import ahkab\n", | |
"from ahkab import circuit, printing, time_functions\n", | |
"import pylab as plt" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
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"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Dibujamos el esquemático con SchemDraw" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
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"outputs": [ | |
{ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1094444a8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
} | |
], | |
"source": [ | |
"esquematico = SchemDraw.Drawing()\n", | |
"V = esquematico.add(SchemDrawElement.SOURCE_V, label='V (10V)')\n", | |
"esquematico.add(SchemDrawElement.RES, d='right', label='R (100K$\\Omega$)')\n", | |
"esquematico.add(SchemDrawElement.CAP, d='down', botlabel='C (0.1$\\mu$F)')\n", | |
"esquematico.add(SchemDrawElement.LINE, to=V.start)\n", | |
"esquematico.add(SchemDrawElement.GND)\n", | |
"esquematico.draw()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"collapsed": false, | |
"deletable": true, | |
"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Definimos el netlist con Ahkab\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"button": false, | |
"collapsed": false, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"circuito = circuit.Circuit(title=\"Circuito sencillo con condensador\")\n", | |
"gnd = circuito.get_ground_node()\n", | |
"circuito.add_resistor(\"R\", n1=\"1\", n2=\"2\", value=1000)\n", | |
"circuito.add_capacitor(\"C\", n1=\"2\", n2=gnd, value=1e-6)\n", | |
"circuito.add_vsource(\"V\", n1=gnd, n2=\"1\", dc_value=10)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"deletable": true, | |
"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Imprimimos el netlist para ver que todo es correcto" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"button": false, | |
"collapsed": false, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"* Circuito sencillo con condensador\n", | |
"R 1 2 1000\n", | |
"C 2 0 1e-06\n", | |
"V 0 1 type=vdc value=10 \n" | |
] | |
} | |
], | |
"source": [ | |
"print(circuito)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"deletable": true, | |
"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Ejecutamos un análisis concreto\n", | |
"Vamos a estudiar cómo el circuito evoluciona en el tiempo mediante un análisis tipo `.trans`." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"button": false, | |
"collapsed": true, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"tran_analysis = ahkab.new_tran(tstart=0, tstop=1.2e-3, tstep=1e-6, x0=None)\n", | |
"r = ahkab.run(circuito, an_list=[tran_analysis])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"deletable": true, | |
"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## ¿Qué resultados nos da el análisis `.tran`?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"button": false, | |
"collapsed": false, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"['T', 'V1', 'V2', 'I(V)']\n" | |
] | |
} | |
], | |
"source": [ | |
"print(r['tran'].keys())" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"deletable": true, | |
"new_sheet": false, | |
"run_control": { | |
"read_only": false | |
}, | |
"outputExpanded": false | |
}, | |
"source": [ | |
"## Dibujamos la evolución de la corriente (I(V)) en en la pila con el tiempo (T)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"button": false, | |
"collapsed": false, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x1095444a8>" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result", | |
"text": [] | |
}, | |
{ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10950df60>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
} | |
], | |
"source": [ | |
"fig = plt.figure()\n", | |
"plt.title(circuito.title + \" - TRAN Simulation\")\n", | |
"plt.plot(r['tran']['T'], r['tran']['I(V)'], label=\"Voltaje en el condensador\")\n", | |
"plt.ylabel('Intensidad en la pila')\n", | |
"plt.xlabel('Time [s]')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"button": false, | |
"collapsed": true, | |
"deletable": true, | |
"new_sheet": false, | |
"outputExpanded": false, | |
"run_control": { | |
"read_only": false | |
} | |
}, | |
"source": [ | |
"## ¿Por qué vemos esta curva? ¡Explícalo!" | |
] | |
} | |
], | |
"metadata": { | |
"kernel_info": { | |
"name": "python3" | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"language": "python", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"pygments_lexer": "ipython3", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"version": "3.5.2", | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"nbconvert_exporter": "python", | |
"file_extension": ".py" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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se ve que el condensador se va descargando con el tiempo