Period Doubling Bifurcations and Its Control in Induction Motor Drives

Mi Do Hoang Ngan, Dung Le Tien, Quang Nguyen Phung
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引用次数: 0

Abstract

Chaos can lead to self-oscillation, which affect thequality of induction motor drive system?. This effect happens with nonlinear systems, which are sensitive to the initial conditions, but governed by deterministic laws unlike random. to The present study aims to investigate the chaos that occur in the nonlinear systems - three phase AC drives using induction motor by the rotor of flux oriented control. After analyzing the phenomena based on a mathematical model, simulation will prove chaotic behavior when parameters fall into period doubling bifurcation regions. It showed clearly the chaotic behaviors through time response, phase diagram, Fourier spectrum, Poincaré section, bifurcation diagrams, and Lyapunov exponents. Besides, the sensitivity of the initial condition of the system was also well presented. This is the typical characteristic of a chaotic system. In conclusion, this is a suitable algorithm - sliding mode control put forward to suppress the chaotic oscillations quickly and return the system to the normal working, therefore, could improve the quality of the system.)
感应电机驱动中的倍周期分岔及其控制
混沌会导致自振荡,影响感应电机驱动系统的质量。这种效应发生在非线性系统中,非线性系统对初始条件很敏感,但不像随机系统那样受确定性规律支配。本研究的目的是研究磁链定向控制转子的异步电动机三相交流传动非线性系统中的混沌现象。在建立数学模型的基础上分析了这一现象,通过仿真证明了参数落入倍周期分岔区域时的混沌行为。通过时间响应、相图、傅立叶谱、庞加莱剖面、分岔图和李亚普诺夫指数,清晰地显示了混沌行为。此外,还给出了系统初始条件的灵敏度。这是混沌系统的典型特征。综上所述,提出一种合适的滑模控制算法,可以快速抑制混沌振荡,使系统恢复正常工作,从而提高系统的质量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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