Title :
An analysis of the hopf bifurcation in a hydroturbine governing system with saturation
Author :
Ling, Daijian ; Tao, Yang
Author_Institution :
Yangzhou Univ., China
fDate :
6/1/2006 12:00:00 AM
Abstract :
A set of state equations of the polarization index governing system with saturation nonlinearity is established for a hydroturbine in small perturbation. The dynamic behavior of the proportional-integral governor (controller) governing system with saturation is analyzed and the conditions for the existence of a Hopf bifurcation are obtained by using a simple nonlinear model. The stability condition, which must be satisfied in the governing system, is simulated and supported by numerical calculations. The analysis and simulation show that a supercritical Hopf bifurcation may exist in hydraulic turbine systems. The results of this paper can be considered as an explanation for the sustained oscillations recorded in hydroelectric power stations.
Keywords :
PI control; bifurcation; hydraulic turbines; hydroelectric power stations; nonlinear control systems; numerical analysis; polarisation; power generation control; Hopf bifurcation; hydraulic turbine systems; hydroelectric power stations; hydroturbine governing system; nonlinear model; numerical calculations; polarization index governing system; proportional-integral governor; saturation nonlinearity; stability condition; state equations; Analytical models; Bifurcation; Control system synthesis; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Pi control; Polarization; Proportional control; Stability; Hopf bifurcation; hydroturbine governing system; saturation nonlinearity;
Journal_Title :
Energy Conversion, IEEE Transactions on
DOI :
10.1109/TEC.2005.860407
