基于线性矩阵不等式的最优鲁棒励磁调节器设计

以发电机之间的关联作用作为每一台发电机的扰动，将N机电力系统化为N个定义了扰动集的独立子系统，分别建立各子系统鲁棒控制模型。通过求解线性矩阵不等式，得到最优鲁棒控制策略。该控制策略既分散实现，又保证全局稳定。将鲁棒励磁调节器安装在两区域互联系统的发电机上，仿真表明，当联络线不同位置发生短路扰动时，系统都能保持良好的功角稳定性和电压调节精度。

Design of Optimal Robust Excitation Controller Based on LMI

Multi-machine power systems including N generators can be decentralized to N independent subsystems which have been defined by clear disturbance, when interconnected effect of generators is considered as disturbance. Every subsystem model of robust control is established. Optimal robust excitation control law is concluded after a certain LMI is solved. It also guarantees stabilization of the whole system. Simulation proves that if a two-area interconnected power system is installed with such excitation controller, the system can obtain better angle stability and accurate voltage when short circuit event happens at different places of the interconnected lines.