Development of Non-linear State-space Affine Model of PMSM and Analysis of Its Dynamic Behavior Encompassing the Possibility of Chaos

Abstract

The objective of this paper is to develop a state space affine model of a permanent magnet synchronous motor (PMSM) to facilitate its behavioral study for different sets of parameters. The modeling is done in step-by-step manner with clear-cut explanation. First the two-axis d-q model is built. Then the model is transformed into state-space using affine transformation. The dynamic behavior of the dimensionless state-space variables is studied thereupon. A special investigation shows the probability of the chaotic behavior of the motor. The simulation results in MATLAB® environment demonstrate the effectiveness of the appraisals of this analysis.