Three-phase induction motor dynamic mathematical model

The induction motor dynamic model, frequently used in motor dynamic studies, is constituted by four voltage differential equations and one mechanical differential equation being well known among the electrical machine researchers. The main goal of this paper is to present a more comprehensive three-phase induction motor dynamic mathematical model including the skin effect, the temperature influence on the parameters and allowing for the stator and rotor winding and stator and rotor core average temperature evaluation. This model is useful for any type of motor dynamic studies mainly those including fast motor speed changes, intermittent loading and in case of motors fed from nonsinusoidal voltages contributing to the energy conservation and power quality subjects.