4Small-Signal Modelling Analysis of Three-Phase Power Converters for EV Applications

Mohamed G. Hussien1*, Sanjeevikumar Padmanaban2, Abd El-Wahab Hassan1 and Jens Bo Holm-Nielsen2

1 Department of Electrical Power and Machines Engineering, Faculty of Engineering, Tanta University, Tanta, Egypt

2 Center for Bioenergy and Green Engineering, Department of Energy Technology, Aalborg University, Esbjerg, Denmark


This chapter aims at proposing a complete mathematical analysis and derivation of the small signal model for voltage-source inverter (VSI) with surface-mounted PMSM (SPMSM). The basic equations of the SPMSM model were developed and simulated using MATLAB/SIMULINK environment. In addition, the switch state functions were used to express the motor phase voltage and then develop mathematical model for VSI. In order to control the machine speed from standstill to rated speed with rated load, the vector control strategy was applied. To design the speed loop and current loop, anti-windup PI controllers were used. To verify the effectiveness of the presented analysis, some of obtained simulation results were discussed.

Keywords: Surface mounted PM synchronous motor (SPMSM), voltage-source inverter (VSI), average model, small signal model, bode diagram

4.1 Introduction

Power stages of PWM converters are nonlinear owing to the presence of at least one transistor and a diode [113]. In order to apply the known knowledge of linear control theory, the power stages need to be ...

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