ABSTRACT
Induction machines are rigid and reliable, have low weight-to-torque and power-to-torque ratios, operate at high angular velocity, have low cost and maintenance, can be used in harsh environments, etc. Squirrel-cage induction machines have a cylindrical rotor with short-circuited rotor windings, and the voltage is supplied to stator windings. This chapter analyzes the steady-state characteristics and dynamic performance of two- and three-phase induction machines, develops mathematical models, performs nonlinear simulations, as well as introduces the power converters needed to control induction motors. The mathematical model of two-phase induction machines can be derived by using the Lagrange equations of motion. The circuitry dynamics of induction machines using the stator currents and rotor flux linkages as the state variables are of interest. The differential equations to comprehensively study the steady-state and dynamic performance of induction machines were developed in the machine variables using Kirchhoff's second law and Newton's law of motion.
