Hopf bifurcation and chaos in synchronous reluctance motor drives

被引：57

作者：

Gao, Y ^{[1
]}

Chau, KT ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON ENERGY CONVERSION | 2004年 / 19卷 / 02期

关键词：

bifurcation; chaos; motor drives; synchronous reluctance motors;

D O I：

10.1109/TEC.2004.827012

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

This paper first presents the occurrence of Hopf bifurcation and chaos in a practical synchronous reluctance motor drive system. Based on the derived nonlinear system equation, the bifurcation analysis shows that the system loses stability via Hopf bifurcation when the d-axis component of its three-phase motor voltages loses its control. Moreover, the corresponding Lyapunov exponent calculation further proves the existence of chaos. Finally, computer simulations and experimental results are used to support the theoretical analysis.

引用

页码：296 / 302

页数：7

共 20 条

[1]

ALLIGOOD KT, 1996, CHAOSINTRO DYNAMICAL

[2]

[Anonymous], 2012, Practical numerical algorithms for chaotic systems

[3] CONTROL OF SYNCHRONOUS RELUCTANCE MACHINES [J].

BETZ, RE ;

LAGERQUIST, R ;

MILLER, TJE ;

MIDDLETON, RH .

IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 1993, 29 (06) :1110-1122

[4] Bifurcation behavior of the buck converter [J].

Chakrabarty, K ;

Poddar, G ;

Banerjee, S .

IEEE TRANSACTIONS ON POWER ELECTRONICS, 1996, 11 (03) :439-447

[5] An overview of power electronics in electric vehicles [J].

Chan, CC ;

Chau, KT .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1997, 44 (01) :3-13

[6] Experimental stabilization of chaos in a voltage-mode DC drive system [J].

Chen, JH ;

Chau, KT ;

Siu, SM ;

Chan, CC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (07) :1093-1095

[7] Subharmonics and chaos in switched reluctance motor drives [J].

Chen, JH ;

Chau, KT ;

Chan, CC ;

Jiang, Q .

IEEE TRANSACTIONS ON ENERGY CONVERSION, 2002, 17 (01) :73-78

[8] Analysis of chaos in current-mode-controlled DC drive systems [J].

Chen, JH ;

Chau, KT ;

Chan, CC .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2000, 47 (01) :67-76

[9] Switchings, bifurcations, and chaos in DC/DC converters [J].

di Bernardo, M ;

Garofalo, F ;

Glielmo, L ;

Vasca, F .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1998, 45 (02) :133-141

[10]

FITZGERALD AE, 1991, ELECT MACH

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