Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

doi:10.1088/1674-1056/27/12/128202

Abstract

Internal effects of the dynamic behaviors and nonlinear characteristics of a coupled fractional order hydropower generation system (HGS) are analyzed. A mathematical model of hydro-turbine governing system (HTGS) with rigid water hammer and hydro-turbine generator unit (HTGU) with fractional order damping forces are proposed. Based on Lagrange equations, a coupled fractional order HGS is established. Considering the dynamic transfer coefficient e is variational during the operation, introduced e as a periodic excitation into the HGS. The internal relationship of the dynamic behaviors between HTGS and HTGU is analyzed under different parameter values and fractional order. The results show obvious fast-slow dynamic behaviors in the HGS, causing corresponding vibration of the system, and some remarkable evolution phenomena take place with the changing of the periodic excitation parameter values.

Keywords: fast-slow dynamics fractional order nonlinear dynamics hydropower generation system

Received: 18 May 2018
Revised: 09 October 2018
Accepted manuscript online:

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

Fund:

Project supported by the National Natural Science Foundation of China for Outstanding Youth (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University (Grant No. 2013BSJJ095), and the Science Fund for Excellent Young Scholars from Northwest A & F University and Shaanxi Nova Program, China (Grant No. 2016KJXX-55).

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

Cite this article:

Xiang Gao(高翔), Diyi Chen(陈帝伊), Hao Zhang(张浩), Beibei Xu(许贝贝), Xiangyu Wang(王翔宇) Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system 2018 Chin. Phys. B 27 128202

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Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

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