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+clc,clear
+printf('Example 6.5\n\n')
+//note that a new function p2z has been defined below for direct representation of complex numbers in polar form
+function [FUN] = p2z(RRRR,Theeeta)
+ FUN = RRRR.*exp(%i*%pi*Theeeta/180.);
+endfunction
+
+V_L=6.6*10^3
+V_ph=V_L/sqrt(3)
+VA=3*10^6
+I_FL=VA/(V_L*sqrt(3)) //full load current
+P=8,f=50 //poles and frequency
+
+X_s=complex(0,2.9)//X_s=2.9
+delta_dash_mech=%pi/180
+delta_dash_elec=delta_dash_mech*(P/2) //P/2 is pole pairs(and not poles)
+
+//part(i)
+E=V_ph
+P_SY=delta_dash_elec*E^2/abs(X_s) //Synchronous Power per phase
+P_SY_3ph=P_SY*3 //For 3 phases
+printf('(i) Synchronising power at no load is %.3f kW',P_SY*10^-3)
+printf('\n Total synchronising power at no load is %.2f kW\n',P_SY_3ph*10^-3)
+
+N_s=120*f/P //in rpm
+n_s=(N_s)/60 //in rps
+T_SY=P_SY_3ph/(2*%pi*n_s)
+printf('\nSynchronous torque per mechanical degree of phase displacement is %.2f * 10^3 N-m',T_SY*10^-3)
+
+//part(ii)
+phi=acosd(0.85)
+I=p2z(I_FL,0)
+V=p2z(V_ph,phi)
+
+E=V+I*X_s
+//E leads I by phasemag(E). V leads I by phasemag(V)
+
+delta=(%pi/180)* (phasemag(E)-phasemag(V) ) //power angle in radians
+P_SY2=abs(E)*abs(V)*cos(delta)*sin(delta_dash_elec)/abs(X_s)
+
+P_SY_total_2=3*P_SY2
+//n_s=T_SY/(P_SY/(2*%pi) ) //because T_SY=P_SY/(2*%pi*n_s)
+printf('\n\n(ii)Total synchronising power is %.0f kW',P_SY_total_2*10^-3)
+
+T_SY2=P_SY_total_2/(2*%pi*n_s)
+printf('\nSynchronising torque is %.2f * 10^3 N-m',T_SY2/1000)