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diff --git a/Electric_Machines_by_Nagrath_&_Kothari/Chapter12_2.ipynb b/Electric_Machines_by_Nagrath_&_Kothari/Chapter12_2.ipynb new file mode 100755 index 00000000..14017fb3 --- /dev/null +++ b/Electric_Machines_by_Nagrath_&_Kothari/Chapter12_2.ipynb @@ -0,0 +1,275 @@ +{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 12 : AC Steadystate Circuit Analysis"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.1, Page No 148"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "#calculate power fed to load\n",
+ " \n",
+ "V=100.0 \n",
+ "\n",
+ "#Calculations\n",
+ "Va=(V/(math.sqrt(2)*math.pi))*(2+1/math.sqrt(2)) \n",
+ "Rd=10.0 \n",
+ "Pa=Va**2/Rd \n",
+ "\n",
+ "#Results\n",
+ "print(Pa,'load power(W)') "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(371.26245525794906, 'load power(W)')\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.2, Page No 149"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "#calculate firing angle value\n",
+ "\n",
+ "Po=15000.0 \n",
+ "Ro=1.5 \n",
+ "Va=math.sqrt(Po*Ro) \n",
+ "\n",
+ "#Calculations\n",
+ "a=math.degrees(math.acos((Va*2*math.pi/(3*math.sqrt(6)*V))-1))\n",
+ "print(a,'firing angle(deg)') \n",
+ "Ia=Va/Ro \n",
+ "Ith=Ia/3.0 \n",
+ "\n",
+ "#Results\n",
+ "print(Ith,'avg current through diodes(A)') "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(73.58755434217028, 'firing angle(deg)')\n",
+ "(33.333333333333336, 'avg current through diodes(A)')\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.3, Page No 149"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "#calculate value of commutating capacitor\n",
+ "Iamax=100.0 \n",
+ "V=100.0 \n",
+ "f_max=400.0 \n",
+ "\n",
+ "#Calculations\n",
+ "c=Iamax/(2*V*f_max) \n",
+ "\n",
+ "#Results\n",
+ "print(c,'value of commutating capacitor(F)') "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(0.00125, 'value of commutating capacitor(F)')\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 10.4 Page No 150"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "#to determine value of capacitor\n",
+ "\n",
+ " \n",
+ "f=50.0 \n",
+ "w=2*math.pi*f \n",
+ "Z_lm=complex(3,2.7) \n",
+ "Z_la=complex(7,3) \n",
+ "\n",
+ "#Calculations\n",
+ "I_m=(-1)*math.degrees(math.atan((Z_lm.imag)/(Z_la.imag))) \n",
+ "a=90.0 \n",
+ "I_a=a+I_m \n",
+ "c=1/(w*((Z_lm.real)-(Z_la.real)*math.cos(math.radians((-1)*I_a)))) \n",
+ "\n",
+ "#Results\n",
+ "print(c,'value of capacitor(F)') "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(-0.0018916018169502632, 'value of capacitor(F)')\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 10.6, Page No 151"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "#to calculate starting torque and atarting current,motor performance\n",
+ "\n",
+ " \n",
+ "V_a=110*complex(math.cos(math.radians(90)),math.sin(math.radians(90))) \n",
+ "V_m=220*complex(math.cos(math.radians(0)),math.sin(math.radians(0))) \n",
+ "R_1=3 \n",
+ "R_2=2.6 \n",
+ "X_1=2.7 \n",
+ "X_2=2.7 \n",
+ "X=110 \n",
+ "V_f=(1.0/2)*(V_m-1j*V_a)\n",
+ "V_b=(1.0/2)*(V_m+1j*V_a) \n",
+ "Z_f=(complex(0,X)*complex(R_2,X_2))/(complex(0,X)+complex(R_2,X_2)) \n",
+ "Z_b=Z_f \n",
+ "Z_ftot=complex(R_1,X_1)+Z_f \n",
+ "Z_btot=complex(R_1,X_1)+Z_b \n",
+ "I_f=V_f/Z_ftot \n",
+ "I_b=V_b/Z_btot \n",
+ "T_s=(2/157)*(Z_f.real)*(abs(I_f)**2-abs(I_b)**2) \n",
+ "print(T_s,'starting torque(Nm)') \n",
+ "I_m=I_f+I_b \n",
+ "I_a=1j*(I_f-I_b) \n",
+ "print(abs(I_a),'starting current(A)') \n",
+ "s=0.04 \n",
+ "\n",
+ "Z_f=(complex(0,X)*complex(R_2/s,X_2))/(complex(0,X)+complex(R_2/s,X_2)) \n",
+ "Z_b=(complex(0,X)*complex(R_2/(2-s),X_2))/(complex(0,X)+complex(R_2/(2-s),X_2)) \n",
+ "Z_ftot=complex(R_1,X_1)+Z_f \n",
+ "Z_btot=complex(R_1,X_1)+Z_b \n",
+ "I_f=V_f/Z_ftot \n",
+ "I_b=V_b/Z_btot \n",
+ "w_s=157.1 \n",
+ "T_s=(2/157.1)*(abs(I_f)**2*(Z_f.real)-abs(I_b)**2*(Z_b.real)) \n",
+ "print(T_s,'starting torque(Nm)') \n",
+ "I_m=I_f+I_b \n",
+ "\n",
+ "#Calculations\n",
+ "m=math.degrees(math.atan((I_m.imag)/(I_m.real)))\n",
+ "I_a=1j*(I_f-I_b) \n",
+ "a=math.degrees(math.atan((I_a.imag)/(I_a.real)))\n",
+ "P_m=w_s*(1.0-s)*T_s \n",
+ "P_L=200.0 \n",
+ "P_out=P_m-P_L \n",
+ "P_min=V*abs(I_m)*math.cos(math.radians(m)) \n",
+ "P_ain=V*abs(I_a)*math.cos(math.radians(a))\n",
+ "P_in=P_min+P_ain \n",
+ "n=P_out/P_in \n",
+ "print(n,'efficiency') \n",
+ "\n",
+ "r=Z_ftot/Z_btot #r=V_mf/V_bf\n",
+ "#V_mf+V_bf=220\n",
+ "V_mf=220/(1+r) \n",
+ "V_mb=220-V_mf \n",
+ "V_a=1j*(V_mf-V_mb) \n",
+ "\n",
+ "#Results\n",
+ "print(abs(V_a),'V_a(V)') \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(0.0, 'starting torque(Nm)')\n",
+ "(14.313452498677325, 'starting current(A)')\n",
+ "(3.5887587638431966, 'starting torque(Nm)')\n",
+ "(0.2815652638045585, 'efficiency')\n",
+ "(176.4417668704772, 'V_a(V)')\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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