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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Calculating the size of armature wire and the a.c. resistance of each pahase
+clc;
+disp('Example 11.10, Page No. = 11.34')
+// Given Data
+// 3 phase star connected synchronous generator
+p = 8;// Number of poles
+f = 50;// Frequency (in Hz)
+ys = 0.3;// Pole pitch (in meter)
+Iz = 100;// Line current (in Ampere)
+L = 0.3;// Gross axial length (in meter)
+Spp =3;// Slots per pole per phase
+Cs = 6;// Conductors per slot
+Kc_av = 1.3;// Average eddy current loss factor
+// Calculation of the suitable number of slots and conductors per slot
+D = ys*p/%pi;// Armature diameter (in meter)
+ns = 2*f/p;// Synchronous speed (in r.p.s.)
+Va = %pi*D*ns;// Peripheral speed (in meter per second)
+S = Spp*3*p;// Total number of slots
+Z = S*Cs;// Total number of conductors
+Tph = Z/6;// Turns per phase
+ac = Iz*Z/(%pi*D);// (in Ampere per meter)
+J = (43000/ac)+(Va/16);// Current density (in Ampere per mm square)
+as = 100/J;// Area of armature conductor
+disp(as,'(a) Area of armature conductor (mm square)=');
+L_active = 2*L;// Active length of each turn (in meter)
+Lmt = 2*L_active;// Since Total length of a turn is twice the active length (in meter)
+resistivity = 0.021;// Resistivity of copper at 75 degree celsius (in ohm per meter)
+r_dc = resistivity*Tph*Lmt/as;// D.C. resistance of each phase at 75 degree celsius (in ohm)
+r_ac = Kc_av*r_dc;// A.C. resistance of each phase
+disp(r_ac,'(b) A.C. resistance of each phase (ohm)=');
+//in book answers are 23.8 mm square and 0.099 ohm respectively. The answers vary due to round off error