基于矩阵不等式的电力系统混沌振荡鲁棒模糊控制研究

Research on Robust Fuzzy Control of Power System Chaotic Oscillation Based on Matrix Inequality

互联电力系统正常工作时因增减负荷等引起的混沌振荡是危害电力系统安全稳定运行的重要因素。通过系统相图以及转子角度和角频率的时域状态轨迹图揭露了二阶电力系统混沌振荡的特性。采用T-S模糊方法对二阶电力系统进行模糊建模,并进一步基于Lyapunov稳定性定理,设计了相应的鲁棒模糊控制器。施加控制后,系统的混沌振荡得到有效抑制,转子角度和角频率在经过短暂的超调和衰减过程后恢复到稳定状态,仿真计算结果表明所设计的控制器具有良好的鲁棒性。研究结果可为保障互联电力系统的安全稳定运行提供理论指导。

The chaotic oscillation caused by increasing and reducing load in the normal operation of the interconnected power system is an important cause for the safe and stable operation of power system.The chaotic oscillation characteristics of the second-order power system are revealed by the phase diagram of the system and the time-domain state trajectory of the rotor angle and angular frequency.The T-S fuzzy method is used to model the second-order power system,and the corresponding robust fuzzy controller is designed based on Lyapunov stability theorem.After applying control,the chaotic oscillation of the system is effectively suppressed,and the rotor angle and angular frequency return to a stable state after a brief overshoot and decay process.Simulation results show that the designed controller has good robustness.The research results can provide theoretical guidance for ensuring the safe and stable operation of the interconnected power system.