A Parametric Model of a Synchronous Reluctance Motor with a TLA Rotor in Steady-State and Transient Modes

Abstract

There is significant practical and scientific interest in synchronous reluctance motors with a transversally laminated anisotropic (TLA) rotor. TLA rotor core has a transverse lamination, internal grooves and highly saturated areas. The configuration of rotor slots is complex and varied. It is an urgent task to develop a parametric model of a synchronous reluctance motor with a TLA rotor designed to calculate steady-state and transient engine operating conditions. A classical parametric model of a synchronous reluctance motor is used that is based on the theory of two reactions. The presented method for calculating the parameters of a model of a synchronous reluctance motor with a TLA rotor is based on the results of a field calculation of two static states of a magnetic field. Calculations of steady-state conditions of a synchronous reluctance motor are performed according to engineering formulas, which are obtained from the equation of voltage equilibrium in the stator phase. To calculate the transient modes of a synchronous reluctance motor, the Park—Gorev equations were used. Field models of the synchronous reluctance motor under study are presented for axial and transverse rotor positions. The magnetic field’s main harmonics in the gap and their dependences on the armature current are calculated. Formulas are given for calculating the armature winding inductive parameters and a synchronous reluctance motor operating characteristics. Differential equations used to calculate processes in a synchronous reluctance motor are presented. Using a parametric model, the operating characteristics of a synchronous reluctance motor, the process of frequency starting, and the electromechanical process of a synchronous reluctance motor’s operation with an asymmetrical power supply are calculated. Calculation results are compared with the field modeling results of a synchronous reluctance motor with a TLA rotor in the Ansys Maxwell environment. The classical parametric model of a synchronous machine based on the theory of two reactions allows one to quickly and accurately analyze the steady-state and transient operating conditions of a synchronous reluctance motor with a TLA rotor under various power and mechanical load conditions, including abnormal ones.