中国物理B ›› 2013, Vol. 22 ›› Issue (9): 98401-098401.doi: 10.1088/1674-1056/22/9/098401

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

Dynamical investigation and parameter stability region analysis of a flywheel energy storage system in charging mode

张玮亚, 李永丽, 常晓勇, 王楠   

  1. Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China; School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
  • 收稿日期:2013-02-20 修回日期:2013-03-21 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2009CB2197), the National Natural Science Foundation of China (Grant No. 51177108), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032110066).

Dynamical investigation and parameter stability region analysis of a flywheel energy storage system in charging mode

Zhang Wei-Ya (张玮亚), Li Yong-Li (李永丽), Chang Xiao-Yong (常晓勇), Wang Nan (王楠)   

  1. Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China; School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
  • Received:2013-02-20 Revised:2013-03-21 Online:2013-07-26 Published:2013-07-26
  • Contact: Zhang Wei-Ya E-mail:zhangweiyatju@126.com
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2009CB2197), the National Natural Science Foundation of China (Grant No. 51177108), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032110066).

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摘要： In this paper, the dynamic behavior analysis of the electromechanical coupling characteristics of a flywheel energy storage system (FESS) with a permanent magnet (PM) brushless direct-current (DC) motor (BLDCM) is studied. The Hopf bifurcation theory and nonlinear methods are used to investigate the generation process and mechanism of the coupled dynamic behavior for the average current controlled FESS in the charging mode. First, the universal nonlinear dynamic model of the FESS based on the BLDCM is derived. Then, for a 0.01 kWh/1.6 kW FESS platform in the Key Laboratory of the Smart Grid at Tianjin University, the phase trajectory of the FESS from a stable state towards chaos is presented using numerical and stroboscopic methods, and all dynamic behaviors of the system in this process are captured. The characteristics of the low-frequency oscillation and the mechanism of the Hopf bifurcation are investigated based on the Routh stability criterion and nonlinear dynamic theory. It is shown that the Hopf bifurcation is directly due to the loss of control over the inductor current, which is caused by the system control parameters exceeding certain ranges. This coupling nonlinear process of the FESS affects the stability of the motor running and the efficiency of energy transfer. In this paper, we investigate into the effects of control parameter change on the stability and the stability regions of these parameters based on the averaged-model approach. Furthermore, the effect of the quantization error in the digital control system is considered to modify the stability regions of the control parameters. Finally, these theoretical results are verified through platform experiments.

关键词: flywheel energy storage system, Hopf bifurcation mechanism, Routh stability criterion, parameter stability regions

Abstract: In this paper, the dynamic behavior analysis of the electromechanical coupling characteristics of a flywheel energy storage system (FESS) with a permanent magnet (PM) brushless direct-current (DC) motor (BLDCM) is studied. The Hopf bifurcation theory and nonlinear methods are used to investigate the generation process and mechanism of the coupled dynamic behavior for the average current controlled FESS in the charging mode. First, the universal nonlinear dynamic model of the FESS based on the BLDCM is derived. Then, for a 0.01 kWh/1.6 kW FESS platform in the Key Laboratory of the Smart Grid at Tianjin University, the phase trajectory of the FESS from a stable state towards chaos is presented using numerical and stroboscopic methods, and all dynamic behaviors of the system in this process are captured. The characteristics of the low-frequency oscillation and the mechanism of the Hopf bifurcation are investigated based on the Routh stability criterion and nonlinear dynamic theory. It is shown that the Hopf bifurcation is directly due to the loss of control over the inductor current, which is caused by the system control parameters exceeding certain ranges. This coupling nonlinear process of the FESS affects the stability of the motor running and the efficiency of energy transfer. In this paper, we investigate into the effects of control parameter change on the stability and the stability regions of these parameters based on the averaged-model approach. Furthermore, the effect of the quantization error in the digital control system is considered to modify the stability regions of the control parameters. Finally, these theoretical results are verified through platform experiments.

Key words: flywheel energy storage system, Hopf bifurcation mechanism, Routh stability criterion, parameter stability regions

中图分类号:  (Electric motors)

  • 84.50.+d
84.60.Ve (Energy storage systems, including capacitor banks) 05.45.-a (Nonlinear dynamics and chaos)