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

doi:10.1088/1674-1056/26/12/128202

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 k_d. 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 m_t 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.

Keywords: bursting oscillations physical phenomena hydro-turbine governing system two time scales

Received: 14 May 2017
Revised: 05 August 2017
Accepted manuscript online:

PACS:	82.40.Bj	(Oscillations, chaos, and bifurcations)
	88.60.K-	(Hydroturbines)
	88.40.fc	(Modeling and analysis)
	02.30.Hq	(Ordinary differential equations)

Fund: 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).

Corresponding Authors: Di-Yi Chen
E-mail: diyichen@nwsuaf.edu.cn

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Qing-Shuang Han(韩青爽), Di-Yi Chen(陈帝伊), Hao Zhang(张浩) Bursting oscillations in a hydro-turbine governing system with two time scales 2017 Chin. Phys. B 26 128202

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

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