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|
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 4 - Frequency Meters and Phase Meters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1 - pg 4_22"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
"E1 mag E1 rms Ein Rms Eab output\n",
"[[ 0. 0. 5. 4.501]\n",
" [ 3. 2.121 5.431 4.889]\n",
" [ 5. 3.53 6.123 5.513]\n",
" [ 7. 4.949 7.035 6.334]\n",
" [ 9. 6.363 8.093 7.286]\n",
" [ 12. 8.485 9.848 8.867]\n",
" [ 15. 10.606 11.726 10.557]\n",
" [ 18. 12.727 13.674 12.311]\n",
" [ 21. 14.849 15.668 14.106]]\n",
"There is a slight error in textbook\n"
]
},
{
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x70fba10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Chapter-4,Example4_1,pg 4-22\n",
"#calculate the value of E1 vs EAB\n",
"import math\n",
"import numpy\n",
"from matplotlib import pyplot\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"%pylab inline\n",
"#given\n",
"E1mag=numpy.array([0, 3, 5, 7, 9, 12, 15, 18, 21])\n",
"Erms=5#given\n",
"#results\n",
"E1rms=E1mag/math.sqrt(2)\n",
"Einrms=(((E1rms)**2)+((Erms)**2))**(1./2.)\n",
"Eab=(2*math.sqrt(2)*Einrms)/math.pi\n",
"#results\n",
"pyplot.xlabel('E1(Volts)')\n",
"pyplot.ylabel('Eab(Volts)')\n",
"pyplot.title('Phase Meter')\n",
"print\"E1 mag E1 rms Ein Rms Eab output\"\n",
"k=numpy.matrix([[0, 0, 5, 4.501],\n",
" [3, 2.121, 5.431, 4.889],\n",
" [5, 3.53, 6.123, 5.513],\n",
" [7, 4.949, 7.035, 6.334],\n",
" [9, 6.363, 8.093, 7.286],\n",
" [12, 8.485, 9.848, 8.867],\n",
" [15, 10.606, 11.726, 10.557],\n",
" [18, 12.727, 13.674, 12.311],\n",
" [21, 14.849, 15.668, 14.106 ]])\n",
"print (k)\n",
"pyplot.plot(E1mag,Eab)\n",
"print 'There is a slight error in textbook'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2 - pg 4_24"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"output voltage (V) = 6.752\n"
]
}
],
"source": [
"#Chapter-4,Example4_2,pg 4-24\n",
"#calculate the output voltage\n",
"import math\n",
"from math import sqrt\n",
"E1rms=10.\n",
"E2rms=15.\n",
"#calculations\n",
"E1m=E1rms*sqrt(2)\n",
"E2m=E2rms*sqrt(2)\n",
"#voltage across AB is proportional to E1+E2 in positive half cycle\n",
"Ep=(1/(2*math.pi))*(2*E1m+E2m)#output in positive half cycle\n",
"#voltage across AB is proportional to E1-E2 in negative half cycle\n",
"En=(1/(2*math.pi))*(2*E1m-E2m)#output in negative half cycle\n",
"Eab=Ep-En\n",
"#results\n",
"print\"output voltage (V) = \",round(Eab,3)\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
