// 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 1: INDUSTRIAL APPLICATIONS OF ELECTRIC MOTORS // EXAMPLE : 1.33 : // Page number 712-713 clear ; clc ; close ; // Clear the work space and console // Given data hp = 500.0 // Rating of IM(hp) N_nl = 40.0 // No-load speed(rpm) S_fl = 0.12 // Slip at full-load T_l = 41500.0 // Load torque(kg-m) t = 10.0 // Duration of each rolling period(sec) // Calculations g = 9.81 T_fl = hp*746*60/(2*%pi*N_nl*g*(1-S_fl)) // Torque at full-load(kg-m) T_m = 2.0*T_fl // Motor torque at any instant(kg-m) slip = S_fl*N_nl // Slip(rpm) slip_rad = slip*2*%pi/60 // Slip(rad/sec) k = slip_rad/T_fl J = -g*t/(k*log(1-(T_m/T_l))) // Inertia of flywheel(kg-m^2) // Results disp("PART IV - EXAMPLE : 1.33 : SOLUTION :-") printf("\nInertia of flywheel required, J = %.3e kg-m^2\n", J) printf("\nNOTE: ERROR : J = 2.93*10^6 kg-m^2 and not 2.93*10^5 as mentioned in the textbook solution")