ABSTRACT
This chapter develops nonlinear mathematical models, and performs nonlinear modeling and analysis of synchronous electric machines. Permanent-magnet synchronous machines are used in a wide range of industrial electric drives, servomechanisms, and power generation systems such as auxiliary power units. One can easily find mathematical models of permanent-magnet synchronous machines in the arbitrary reference frame. The derived highly nonlinear differential equations must be used to analyze and model conventional synchronous machines in the rotor and synchronous reference frames. The chapter develops a complete nonlinear mathematical model for synchronous reluctance motors using the abc machine variables. The goal is to maximize the electromagnetic torque produced in order to attain the optimum performance of the synchronous reluctance motors and ensure the specified steady-state and dynamic characteristics imposed in the full torque-speed envelope. Balanced motor operation must be guaranteed in the full operating torque-speed envelope to attain optimum performance.
