Stability analysis of speed and  multi-factor simplification in port controlled dissipative Hamiltonian permanent magnet synchronous motor

ZHU Han-wei1，2， QIU Jun2， ZHAO Guang-zhou1
（1. School of Electrical Engineering， Zhejiang University， Hangzhou 310027， China；
2. Ningbo Institute of Technology， Zhejiang University， Ningbo 315100， China）

Abstract： In order to solve the problems of multi coefficients and stability in the design of permanent magnet synchronous motor（PMSM）in port controlled dissipative Hamiltonian system，the formula fitting technique of multi coefficients mapping to a single coefficient in the mathematical modeling of the permanent magnet synchronous motor was investigated. After the analysis of the stability of the system，the relationship between torque，current and a stable equilibrium point of the system was established. A method was presented to control the multi-coefficient system with a single-coefficient. The system performances were evaluated on the basis of the speed feedback. The Simulink simulation was tested. The experimental results show that， the design of the controller has a good stability and controllability.
Key words： permanent magnet synchronous motor（PMSM）； port controlled dissipative Hamiltonian system； speed feedback；multi-interference； single coefficient