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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Qijuan Chen,Haifeng Guo,Junyi Li.Hopf Bifurcation Research of Hydraulic Turbine Governing System with a Saturation Nonlinearity[J].Journal of Harbin Institute Of Technology(New Series),2016,23(6):54-60.DOI:10.11916/j.issn.1005-9113.2016.06.008.
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Hopf Bifurcation Research of Hydraulic Turbine Governing System with a Saturation Nonlinearity
Author NameAffiliation
Qijuan Chen Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China 
Haifeng Guo Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China 
Junyi Li Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China 
Abstract:
A nonlinear mathematical model for hydro turbine governing system with saturation nonlinearity in small perturbation has been proposed with all the essential components, i.e. turbine, PID type governor with saturation part and generator included in the model. Existence, stability and direction of Hopf bifurcation of an example HTGS are investigated in detail and presented in forms of bifurcation diagrams and time waveforms. The analysis show that a supercritical Hopf bifurcation may exist in hydraulic turbine systems in some certain conditions. Moreover, the dynamic behavior of system with different parameters such as Tw, Tab, Ty and K are studied extensively. An example with numerical simulations is presented to illustrate the theoretical results. The researches provide a reasonable explanation for the Hopf phenomenon happened in operation of hydroelectric generating unit.
Key words:  hydro turbine governing system  saturation nonlinearity  supercritical Hopf bifurcation  dynamic behavior
DOI：10.11916/j.issn.1005-9113.2016.06.008
Clc Number:TK735
Fund:

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