利用LMI技术设计多机系统TCSC鲁棒控制器

Robust TCSC controller design based on linear matrix inequalityfor multi-machine power system

可控串联电容补偿器(TCSC)装设在高压线路上可改善系统的暂态稳定性,提高线路的传输容量。指出传统的H∞控制理论在电力系统中的应用需要计算Gamma迭代的优化问题,而线性矩阵不等式(LMI)技术为多个目标控制器的设计提供了新途径,设计指标与约束条件等可表达成LMI形式,可用有效的凸优化算法得到精确解答。提出了借鉴有极点区域配置约束的混合H2/H∞问题的LMI解法,设计了应用于多机系统的TCSC的鲁棒控制器。应用安德森3机9节点系统模型测试了所提方法的鲁棒性,在测试了小规模突发事件仿真、小规模突发事件的鲁棒TCSC控制器性能的结果后表明,TCSC控制器利用LMI方法可实现鲁棒稳定和快速反应。

The TCSC（Thyristor-Controlled Series Capacitor） installed in higher voltage lines can improve system transient stability and enhance transfer capability. The application of traditional H∞ control theory in power systems demands to optimize Gamma iterative problem. LMI（Linear Matrix Inequality） technique provides a new way for multi-object controller design,in which design indices and constraint conditions can be expressed in LMI format and the solution finally obtained by using the effective protruding optimization arithmetic. The LMI for mixed H2/H∞ design under pole region constraints is put forward,based on which a robust TCSC controller for multi-machine power system is designed. The system performance in small- scale contingency is tested on Anderson＇s three -machine nine- bus system model and results show that the controller based on LMI improves system robustness and response speed effectively.