// A Texbook on POWER SYSTEM ENGINEERING // A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar // DHANPAT RAI & Co. // SECOND EDITION // PART IV : UTILIZATION AND TRACTION // CHAPTER 5: ELECTRIC TRACTION-SPEED TIME CURVES AND MECHANICS OF TRAIN MOVEMENT // EXAMPLE : 5.6 : // Page number 782 clear ; clc ; close ; // Clear the work space and console // Given data W = 254.0 // Weight of motor-coach train(tonne) no = 4.0 // Number of motor t_1 = 20.0 // Time(sec) V_m = 40.25 // Maximum speed(kmph) G = 1.0 // Gradient(%) gamma = 3.5 // Gear ratio n = 0.95 // Gear efficiency D = 91.5/100 // Wheel diameter(m) r = 44.0 // Train resistance(N/tonne) I = 10.0 // Rotational inertia(%) // Calculations W_e = W*(100+I)/100 // Accelerating weight of train(tonne) alpha = V_m/t_1 // Acceleration(km phps) F_t = 277.8*W_e*alpha+W*r+98.1*W*G // Tractive effort(N) T = F_t*D/(2*n*gamma) // Torque developed(N-m) T_each = T/no // Torque developed by each motor(N-m) // Results disp("PART IV - EXAMPLE : 5.6 : SOLUTION :-") printf("\nTorque developed by each motor = %.f N-m\n", T_each) printf("\nNOTE: Changes in the obtained answer from that of textbook is due to more precision here & more approximation in textbook") printf("\n ERROR: W = 254 tonne, not 256 tonne as mentioned in textbook problem statement")