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Mathematical modeling of dynamical operations of induction motor with external circuits

Syanov A. M., Kosuhina E. S., Polyakov R. M.

Journal of New Technologies in Environmental Science

2018

Vol. 2, nr 2

90--97

The development of computers and new numerical mathematical methods greatly expanded the possibility of solving differential equations and the study of electromagnetic and mechanical transients in electromechanical transducers. At same time, new possibilities for solving problems of high complexity and accuracy have appeared. High-speed calculation on a computer allows using field models in mathematical environments with nonlinear and periodic coefficients. Most modern models of solid rotor induction motor (SRIM) are built in nonlinear field environment [1], but without accounting external circuits. In this paper, a mathematical model of the SRIM in the field environment was developed with taking into account external circuits and rotor rotation. This approach enables to control the operating conditions of the induction motor (IM) with the given physical parameters of the external circuitry and thus examine the transients in the IM during the reverse, the failure of one of phases or the change in the frequency of the supply voltage. The field mathematical model of SRIM with external circuits has been developed in the paper. The mathematical model provides to consider the connection of the stator windings. This makes it possible to simulate asymmetric operating modes of the induction motor for incorrect connection of windings and phase failure. Additional resistance connected to the external circuit allows to take into account the resistance of the supply line and its effect on the starting characteristics of the induction motor. The application of switches in the mathematical model enables to research non-simultaneous switching of keys and the effect of the duration of starting break time and reverse of the induction motor.