Analysis and calculation of LR circuit mathematical model for high temperature superconducting induction motor

Abstract

The use of nonlinear superconducting material in high temperature superconducting (HTS) induction motor leads to the problem of accuracy of traditional motor vector analysis method, the electromagnetic mechanism of HTS induction motor is studied by numerical solution of the differential equation of LR circuit in this paper. According to the electromagnetic constitutive relationship of HTS material, the variation law of resistivity of HTS materials is revealed. Combined with the E-J rule of superconducting material, the LR form ordinary material equation of stator current and rotor current is deduced, and the differential equations are discretized by Euler method differential equation. The discrete form of stator current rotor current of motor is finally obtained. Based on the Power-Law principle, the rotor resistant expression of HTS Induction Motor with HTS rotor and the armature resistant expression of HTS Induction Motor with HTS Armature are derived. And the electromagnetic characteristics and operational performances of HTS induction motor with HTS rotor, HTS induction motor with HTS armature and fully superconducting HTS induction motor are discussed respectively. The results show that the ratio of rotor current peak value to superconducting critical current is greater than 1 for both HTS induction motor with HTS rotor and fully superconducting HTS induction motor, and there is a risk of superconducting quench.