Quadratized Three-Phase Induction Motor Model for Steady-State and Dynamic Analysis

This paper describes the implementation of a three- phase, phase-domain induction motor model for asymmetric load flow and quasi-steady state analysis. The mathematical model is based on the use of linear and quadratic equations, reducing therefore the system nonlinearity to at most second degree. The model optionally includes slip-dependent rotor parameters, allowing therefore a unified and accurate representation of every possible motor design (NEMA designs A, B, C and D). A parameter estimation methodology is also presented that allows the motor model identification using the slip-torque and slip- current motor characteristics. The estimation procedure and the model performance for both steady-state and dynamic analysis are demonstrated with some simple numerical examples.