An analysis of the hopf bifurcation in a hydroturbine governing system with saturation
An analysis of the hopf bifurcation in a hydroturbine governing system with saturation
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DOI：
10.1109/tec.2005.860407
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发表时间：
2006-06
影响因子：
4.9
通讯作者：
Daijian Ling;Y. Tao
中科院分区：
文献类型：
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作者：
Daijian Ling;Y. Tao
建立了水轮机在小扰动下具有饱和非线性的极化指数控制系统的一组状态方程。分析了具有饱和的比例-积分调速器（控制器）控制系统的动态行为，并利用一个简单的非线性模型得到了Hopf分岔存在的条件。对控制系统必须满足的稳定性条件进行了仿真，并给出了数值计算的支持。分析和仿真表明，水轮机系统可能存在超临界Hopf分岔。本文的结果可以被认为是对水电站记录的持续振荡的一种解释。
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.