Mathematical modeling and simulation of stepping motor systems

Abstract

A mathematical model is developed for a variable reluctance stepping motor and then a numerical simulation is provided in view of studying the behaviour of the motor chiefly in dynamic start regime. The voltage equations are written considering the magnetic circuit unsaturated and the torque equation contains inertia, viscous friction and load torque components. The six first order differential equations of the model are solved using Basic language programs for a Wang 2200 computer. The motor is tested by numerical simulation in dynamic start regime with constant frequency of input pulses and also with different laws for varying this frequency determing the optimal law for motor acceleration. The method presented here for this aim is generally valid for a wide range of VR stepping motors. © 1987.