水轮机调节系统的Terminal滑模控制

Terminal sliding mode control of hydro-turbine governing system

针对水轮机调节系统的不稳定运行会引起发电机组稳定性破坏的问题,鉴于对其要求的日益提高与其控制困难的矛盾现状,笔者以水轮机调节系统为研究对象,首先采用模块化建模方法,建立了混流式水轮机调节系统的整体非线性数学模型,并分析得到系统各状态变量存在不稳定运动。接着,为了保证系统的可靠稳定运行,基于Lyapunov稳定性理论和有限时间控制理论,笔者提出了一种新的Terminal非奇异滑模面,克服了传统Terminal滑模面的奇异性问题,为水轮机调节系统设计了Terminal滑模有限时间控制器。最后,采用Matlab进行数值模拟,仿真结果验证了所设计控制器的有效性和快速性,为生产实际中水力发电机组的稳定性控制提供理论依据。

Unstable operation of a hydro-turbine governing system causes its power units to loss safety and stability. The increasing demands for stability is often in conflict with difficulties in practical operation control. This study has focused on the stability control of such a system. First, a whole nonlinear model of a hydro-turbine governing system was developed by using a modular approach, the simulation showed that the system was unstable. Then, based on the Lyapunov stability theorem and f＇mite time control theory, a terminal sliding mode control method was proposed to avoid the singularity of traditional terminal sliding surface, and a hydro-turbine governor was designed to eliminate the unstablity of the system based on the method. Finally, Matlab simulations verified the effectiveness and rapid response of the hydro-turbine governor. This study would provide a useful reference for stability control of actual hydropower units.