Analytical solution for determination of induction machine acceleration based on Kloss equation

Abstract

In this paper, the analytical solution for the determination of induction machine acceleration, i.e. acceleration-time characteristic, during no-load direct start-up is proposed. The proposed dependence is derived from the Kloss equation for torque-speed relation for the induction machine. Also, the analytical solution for the maximal value of the acceleration is derived in this paper. The results obtained using developed expressions are compared with corresponding results obtained using the developed Matlab/Simulink model for analyses of the induction machine starting the process. Therefore, very high degree of accuracy is obtained.