永磁同步电机非线性状态空间仿射模型的建立及其包含混沌可能性的动力学行为分析

Partha Roy, Susanta Ray
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摘要

本文的目的是建立永磁同步电动机的状态空间仿射模型,以方便其在不同参数组下的行为研究。建模是一步一步地完成的,并有明确的解释。首先建立两轴d-q模型。然后利用仿射变换将模型转换为状态空间。在此基础上研究了无量纲状态空间变量的动态行为。一个特殊的调查显示了电机混沌行为的概率。在MATLAB®环境下的仿真结果验证了该分析的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Development of Non-linear State-space Affine Model of PMSM and Analysis of Its Dynamic Behavior Encompassing the Possibility of Chaos
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.
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