中国物理B ›› 2017, Vol. 26 ›› Issue (12): 128202-128202.doi: 10.1088/1674-1056/26/12/128202

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

Bursting oscillations in a hydro-turbine governing system with two time scales

Qing-Shuang Han(韩青爽), Di-Yi Chen(陈帝伊), Hao Zhang(张浩)   

  1. 1. Institute of Water Resources and Hydropower Research, Northwest A & F University, Yangling 712100, China;
    2. Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A & F University, Yangling 712100, China
  • 收稿日期:2017-05-14 修回日期:2017-08-05 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Di-Yi Chen E-mail:diyichen@nwsuaf.edu.cn
  • 基金资助:
    Project supported by the Scientific Research Foundation of the National Natural Science Foundation of China-Outstanding Youth Foundation (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University, China (Grant No. 2013BSJJ095), the Science Fund for Excellent Young Scholars from Northwest A & F University (Grant No. Z109021515), and the Shaanxi Provincial Nova Program, China (Grant No. 2016KJXX-55).

Bursting oscillations in a hydro-turbine governing system with two time scales

Qing-Shuang Han(韩青爽)1, Di-Yi Chen(陈帝伊)1,2, Hao Zhang(张浩)1   

  1. 1. Institute of Water Resources and Hydropower Research, Northwest A & F University, Yangling 712100, China;
    2. Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A & F University, Yangling 712100, China
  • Received:2017-05-14 Revised:2017-08-05 Online:2017-12-05 Published:2017-12-05
  • Contact: Di-Yi Chen E-mail:diyichen@nwsuaf.edu.cn
  • Supported by:
    Project supported by the Scientific Research Foundation of the National Natural Science Foundation of China-Outstanding Youth Foundation (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University, China (Grant No. 2013BSJJ095), the Science Fund for Excellent Young Scholars from Northwest A & F University (Grant No. Z109021515), and the Shaanxi Provincial Nova Program, China (Grant No. 2016KJXX-55).

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摘要： A fast-slow coupled model of the hydro-turbine governing system (HTGS) is established by introducing frequency disturbance in this paper. Based on the proposed model, the performances of two time scales for bursting oscillations in the HTGS are investigated and the effect of periodic excitation of frequency disturbance is analyzed by using the bifurcation diagrams, time waveforms and phase portraits. We find that stability and operational characteristics of the HTGS change with the value of system parameter kd. Furthermore, the comparative analyses for the effect of the bursting oscillations on the system with different amplitudes of the periodic excitation a are carried out. Meanwhile, we obtain that the relative deviation of the mechanical torque mt rises with the increase of a. These methods and results of the study, combined with the performance of two time scales and the fast-slow coupled engineering model, provide some theoretical bases for investigating interesting physical phenomena of the engineering system.

关键词: bursting oscillations, physical phenomena, hydro-turbine governing system, two time scales

Abstract: A fast-slow coupled model of the hydro-turbine governing system (HTGS) is established by introducing frequency disturbance in this paper. Based on the proposed model, the performances of two time scales for bursting oscillations in the HTGS are investigated and the effect of periodic excitation of frequency disturbance is analyzed by using the bifurcation diagrams, time waveforms and phase portraits. We find that stability and operational characteristics of the HTGS change with the value of system parameter kd. Furthermore, the comparative analyses for the effect of the bursting oscillations on the system with different amplitudes of the periodic excitation a are carried out. Meanwhile, we obtain that the relative deviation of the mechanical torque mt rises with the increase of a. These methods and results of the study, combined with the performance of two time scales and the fast-slow coupled engineering model, provide some theoretical bases for investigating interesting physical phenomena of the engineering system.

Key words: bursting oscillations, physical phenomena, hydro-turbine governing system, two time scales

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

  • 82.40.Bj
88.60.K- (Hydroturbines) 88.40.fc (Modeling and analysis) 02.30.Hq (Ordinary differential equations)