Nonlinear dynamics of a PI hydroturbine governing system with double delays
type: Item
instance of: scholarly article
title: Nonlinear dynamics of a PI hydroturbine governing system with double delays
zbMATH Open document ID: 1400.93102
DOI: 10.1155/2017/2796090
author: Hongwei Luo
author: Jiarong Lu
author: Jiangang Zhang
author: Wenju Du
author: Xinlei An
published in: Journal of Control Science and Engineering
publication date: 2018-10-15T00:00:00Z
review text: Summary: A PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated. More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays under the four different cases. Corresponding stability theorem and Hopf bifurcation theorem of the system are obtained at equilibrium points. And then the stability of periodic solution and the direction of the Hopf bifurcation are illustrated by using the normal form method and center manifold theorem. We find out that the stability and direction of the Hopf bifurcation are determined by three parameters. The results have great realistic significance to guarantee the power system frequency stability and improve the stability of the hydropower system. At last, some numerical examples are given to verify the correctness of the theoretical results.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6954242
zbMATH Keywords: hydroturbine governing system
zbMATH Keywords: double delays
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2796090
OpenAlex ID: W2754812564
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description: scientific article; zbMATH DE number 6954242