A mathematical model of the three-phase induction motor in three-phase stator reference frame describing electromagnetic and electromechanical processes

Abstract

This article provides the equations of mathematical model of three-phase asynchronous electric machine recorded in the three-phase stator reference frame. Described in detail is the possibility of the proposed mathematical model. In particular, the possibility of modeling the rotor currents at their actual frequency. It is also an example of modeling a complex mode of asynchronous machine — its use as rotary electromechanical phase splitter onboard of a railway electric rolling stock. In this case, the machine receives the supply voltage from the secondary winding of a single-phase transformer. Then it converts it into three-phase voltage to three-phase consumers such as induction motors loaded by fans and air compressors. Simulation results show the adequacy of the proposed mathematical model of asynchronous electric machine.