New mathematical model and vector simulator of synchronous reluctance motor with space-varying inductances

This paper proposes a new mathematical model and simulator for synchronous reluctance motors, which generate torque ripples depending on the rotor position. The proposed model has the following advantages. (a) It has the generality that it is constructed in the general reference frame and can handle stator inductances in any form. (b) It comprises three self-consistent basic equations: circuit, torque-evolution, and energy-transmission equations. (d) It presents a new “inductance differential torque” that is directly related to the space-variable inductance, and can reproduce the torque ripples. The proposed simulator accurately reproduces the current, flux, torque, etc. specified by the model. Moreover, it adopts the most compact structure using the vector signals in the general reference frame. The model is validated in a rigorous analytical manner, and the usefulness of the simulator is demonstrated through simulations reproducing torque ripple depending on the rotor position. © 2020 The Institute of Electrical Engineers of Japan.