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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+clc,clear
+printf('Example 4.6\n\n')
+
+d=0.25 //Diameter in metre
+l=0.3 //Length in metre
+Pole=4
+A1=%pi*d*l/Pole //Area of each fundamental pole
+f=50 //frequency in hertz
+B_m1=0.15 , B_m3=0.03, B_m5=0.02 //Amplitude of 1st, 3rd and 5th harmonics
+phi_1=(2/%pi)*B_m1*A1 //average value of fundamental flux per pole in weber
+
+//PART A
+E_c1=1.11*2*f*phi_1 //R.M.S value of fundamental frequency e.m.f generated in single conductor
+Coil_span=(13/15)*180 //since winding coil span is 13/15 of pole pitch
+alpha=180-Coil_span
+
+//Pitch factor for 1st, 3rd and 5th harmonic
+K_c1=cosd(alpha/2)
+K_c3=cosd(3*alpha/2)
+K_c5=cosd(5*alpha/2)
+
+//Using E_cx=E_c1 * (B_mx/B_m1)
+E_c3=E_c1 * (B_m3/B_m1)
+E_c5=E_c1 * (B_m5/B_m1)
+
+E_t1=K_c1 * (2*E_c1) //R.M.S Vaue of fundamental frequency EMF generated in 1 turn (in volts)
+E_t3=K_c3 * 2*E_c3
+E_t5=K_c5 * 2*E_c5
+E_t=sqrt(E_t1^2 +E_t3^2 +E_t5^2)
+V=10*E_t //(number of turns per coil )* (Total e.m.f per turn)
+printf('Voltage generated per coil is %.1f V',V)
+
+// PART B
+//E_1ph=4.44*K_c1*K_d1*phi_1*f*T_ph
+T_ph=200 //T_ph=(60 coils * 10 turns per coil)/3
+
+Total_Conductors=1200 // 60 coils * 10 turns per coil * 2
+Conductors_per_Slot=20 //2 conductors per turn * 10 turns per slot
+Slots=Total_Conductors/Conductors_per_Slot
+
+n=Slots/Pole
+m=n/3
+beeta=180/n //Slot angle in degree
+K_d1=sind(m*1*beeta/2) /(m*sind(1*beeta/2))
+K_d3=sind(m*3*beeta/2) /(m*sind(3*beeta/2))
+K_d5=sind(m*5*beeta/2) /(m*sind(5*beeta/2))
+
+E_1ph=4.44 * K_c1 * K_d1*phi_1 * f * T_ph
+// Using E_xph= E_1ph* (B_mx*K_cx*K_dx)/(B_m1*K_c1*K_d1)
+E_3ph= E_1ph* (B_m3*K_c3*K_d3)/(B_m1*K_c1*K_d1)
+E_5ph= E_1ph* (B_m5*K_c5*K_d5)/(B_m1*K_c1*K_d1)
+E_ph=sqrt( E_1ph^2 + E_3ph^2 + E_5ph^2 ) //voltage generated per phase
+printf('\nVoltage generated per phase is %.0f V',E_ph)
+
+ //PART c
+E_line=sqrt(3) * sqrt( E_1ph^2 + E_5ph^2 ) //terminal voltage
+printf('\nTerminal Voltage is %.1f V ',E_line)