基于H_(∞)优化控制的不确定单机无穷大电力系统稳定性研究

Study on Stability of Uncertain Single Machine Infinite Bus Power System Based on HH_(∞) Optimal Control

针对电力系统在风电并网时由于其随机性及不确定性而产生的波动扰动,致使降低系统稳定性的问题,提出一种基于H_(∞)优化控制的不确定电力系统稳定性研究方法。通过励磁控制系统利用并行分布补偿技术结合事件触发理论设计模糊控制器,同时采用T-S模糊控制对电力系统进行模糊建模。通过H_(∞)优化控制理论结合李雅普诺夫稳定性理论研究提出保证单机无穷大电力系统稳定性的充分条件以及系统控制器的设计方法,并将充分条件以线性矩阵不等式形式表示。最后采用MATLAB仿真软件对所求得稳定性判据进行验证,证实该结论的有效性。

In order to solve the problem that the power system stability is affected by the uncertain disturbance caused by the wind power grid connected,a approach technique of indeterminate power system stability on the basis of optimal control is designed.T-S fuzzy control is adopted to model the power system.Base on the excitation control system,the fuzzy controller is proposed based on the event triggering theory and parallel distributed compensation technology.Rlye on optimal control and Lyapunov stability theories study the stability of a single machine infinite bus power system.The sufficient conditions to guarantee the stability and the design method of the system controller are designed.The sufficient conditions are revealed in the form of linear matrix inequality.In the end,matlab simulation software is used to verify the stability criterion,which proves the validity of the conclusion.