Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory

doi:10.1088/1674-1056/23/1/018201

Chin. Phys. B ›› 2014, Vol. 23 ›› Issue (1): 18201-018201.doi: 10.1088/1674-1056/23/1/018201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory

Hamid Reza Abbasi^a, Ahmad Gholami^a, Seyyed Hamid Fathi^b, Ataollah Abbasi^b

a Iran University of Science & Technology, Electrical & Electronic Engineering Department, Narmak 1684613144, Tehran, Iran;
b Amirkabir University, Electrical Engineering Department, Tehran 64540, Iran

收稿日期:2013-03-19 修回日期:2013-06-14 出版日期:2013-11-12 发布日期:2013-11-12

Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory

Hamid Reza Abbasi^a, Ahmad Gholami^a, Seyyed Hamid Fathi^b, Ataollah Abbasi^b

a Iran University of Science & Technology, Electrical & Electronic Engineering Department, Narmak 1684613144, Tehran, Iran;
b Amirkabir University, Electrical Engineering Department, Tehran 64540, Iran

Received:2013-03-19 Revised:2013-06-14 Online:2013-11-12 Published:2013-11-12
Contact: Hamid Reza Abbasi E-mail:habbasi@iust.ac.ir

摘要/Abstract

摘要： In this paper, controlling chaos when chaotic ferroresonant oscillations occur in a voltage transformer with nonlinear core loss model is performed. The effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of voltage transformers is studied. The metal oxide arrester (MOA) is found to be effective in reducing ferroresonance chaotic oscillations. Also the multiple scales method is used to analyze the chaotic behavior and different types of fixed points in ferroresonance of voltage transformers considering core loss. This phenomenon has nonlinear chaotic dynamics and includes sub-harmonic, quasi-periodic, and also chaotic oscillations. In this paper, the chaotic behavior and various ferroresonant oscillation modes of the voltage transformer is studied. This phenomenon consists of different types of bifurcations such as period doubling bifurcation (PDB), saddle node bifurcation (SNB), Hopf bifurcation (HB), and chaos. The dynamic analysis of ferroresonant circuit is based on bifurcation theory. The bifurcation and phase plane diagrams are illustrated using a continuous method and linear and nonlinear models of core loss. To analyze ferroresonance phenomenon, the Lyapunov exponents are calculated via the multiple scales method to obtain Feigenbaum numbers. The bifurcation diagrams illustrate the variation of the control parameter. Therefore, the chaos is created and increased in the system.

关键词: ferroresonance, chaos theory, metal oxide arrester, Lyapunov exponent

Abstract: In this paper, controlling chaos when chaotic ferroresonant oscillations occur in a voltage transformer with nonlinear core loss model is performed. The effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of voltage transformers is studied. The metal oxide arrester (MOA) is found to be effective in reducing ferroresonance chaotic oscillations. Also the multiple scales method is used to analyze the chaotic behavior and different types of fixed points in ferroresonance of voltage transformers considering core loss. This phenomenon has nonlinear chaotic dynamics and includes sub-harmonic, quasi-periodic, and also chaotic oscillations. In this paper, the chaotic behavior and various ferroresonant oscillation modes of the voltage transformer is studied. This phenomenon consists of different types of bifurcations such as period doubling bifurcation (PDB), saddle node bifurcation (SNB), Hopf bifurcation (HB), and chaos. The dynamic analysis of ferroresonant circuit is based on bifurcation theory. The bifurcation and phase plane diagrams are illustrated using a continuous method and linear and nonlinear models of core loss. To analyze ferroresonance phenomenon, the Lyapunov exponents are calculated via the multiple scales method to obtain Feigenbaum numbers. The bifurcation diagrams illustrate the variation of the control parameter. Therefore, the chaos is created and increased in the system.

Key words: ferroresonance, chaos theory, metal oxide arrester, Lyapunov exponent

中图分类号: (Oscillations, chaos, and bifurcations)

82.40.Bj

95.10.Fh (Chaotic dynamics) 75.60.Ej (Magnetization curves, hysteresis, Barkhausen and related effects) 05.45.-a (Nonlinear dynamics and chaos)

Hamid Reza Abbasi, Ahmad Gholami, Seyyed Hamid Fathi, Ataollah Abbasi. Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory[J]. Chin. Phys. B, 2014, 23(1): 18201-018201.

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Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory

Effect of metal oxide arrester on the chaotic oscillations in the voltage transformer with nonlinear core loss model using chaos theory

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