// A Texbook on POWER SYSTEM ENGINEERING // A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar // DHANPAT RAI & Co. // SECOND EDITION // PART II : TRANSMISSION AND DISTRIBUTION // CHAPTER 11: LOAD FREQUENCY CONTROL AND LOAD SHARING OF POWER GENERATING SOURCES // EXAMPLE : 11.3 : // Page number 331-332 clear ; clc ; close ; // Clear the work space and console // Given data V = 6600.0 // Voltage(V) R = 0.045 // Resistance(ohm) X = 0.45 // Reactance(ohm) Load = 10000.0*10**3 // Total load(W) PF = 0.8 // Lagging power factor I_a = 437.5 // Armature current(A) // Calculations I = Load/(3**0.5*V*PF) // Load current(A) I_working = PF*I // Working component of current(A) I_watless = (1-PF**2)**0.5*I // Watless component of current(A) I_second = (I_a**2+I_watless**2)**0.5 // Load current supplied by second alternator(A) PF_second = I_a/I_second // Lagging power factor of second alternator V_ph = V/3**0.5 // Terminal voltage per phase(V) I_R = I_second*R // Voltage drop due to resistance(V) I_X = I_second*X // Voltage drop due to reactance(V) sin_phi_second = (1-PF_second**2)**0.5 E = ((V_ph+I_R*PF_second+I_X*sin_phi_second)**2+(I_X*PF_second-I_R*sin_phi_second)**2)**0.5 // EMF of the alternator(V/phase) E_ll = 3**0.5*E // Line-to-line EMF of the alternator(V) // Results disp("PART II - EXAMPLE : 11.3 : SOLUTION :-") printf("\nArmature current of other alternator = %.1f A", I_second) printf("\ne.m.f of other alternator = %.f V (line-to-line)", E_ll) printf("\nPower factor of other alternator = %.3f (lagging)", PF_second)