基于Hopf分岔特性分析的调压室设置条件与参数判别方法

The Setting Conditions and Parameters Discrimination Method of the Surge Chamber Based on Hopf Bifurcation Characteristic Analysis

调压室是水电站输水系统缓解水击波影响,进而满足机组调节保证要求的关键建筑;调压室的设置条件、临界稳定断面和位置是工程设计阶段需科学合理确定的3个关键指标。建立考虑上游调压室和水头损失的水轮发电机组调节系统非线性模型,引入Hopf分岔理论判断系统的分岔特性;依据系统的稳定域,提出调压室的设置条件和临界稳定断面判别方法;分析调节系统水流惯性时间常数和水头损失系数对系统稳定性的影响,确定调压室的合理位置。实验结果表明,所提方法可依据系统Hopf分岔特性判别调压室设置条件、临界稳定断面位置,为工程中关于调压室设置的设计提供了理论支撑。

The surge chamber is a key building for the water conveyance system of hydroPower station to alleviate the impact of water hammer wave and meet the requirements of the unit regulation.The setting conditions,critical stable section and location of the surge chamber are three key indexes that need to be scientifically and reasonably determined in the engineering design stage.Therefore,this paper establishes a nonlinear model of hydraulic turbine generator unit regulation system considering upstream surge chamber and water head loss,and introduces Hopf bifurcation theory to judge the bifurcation characteristics of the system.Furthermore,according to the stability region of the system,the setting conditions of the surge chamber and the discrimination method of critical stability section are proposed.Finally,the effects of flow inertia time constant and head loss coefficient on system stability are analyzed,and the position of the surge chamber is deduced.The experimental results show that the proposed method can be combined with the theoretical characteristics of Hopf bifurcation to determine the setting condition,critical stable section and location of the surge chamber,which provides a theoretical support for the design of the surge chamber in engineering.