通过总体最小二乘-旋转不变技术辨识出系统降阶模型及相关振荡频率,再基于线性矩阵不等式的鲁棒控制设计方法,设计出针对不同振荡模式的多通道附加高压直流控制器。控制器利用平衡截断法进行降阶,兼顾了最优性能和鲁棒性能,且可以同时抑制低频振荡与次同步振荡。控制信号经巴特沃兹滤波器后由各通道明确定位,降低了控制器间的相互影响。最后,设计了传统比例积分微分(proportion integration differentiation,PID)控制器进行比较。仿真实验表明,多通道鲁棒控制器对于多种振荡模式的同时抑制效果良好,具有较强的鲁棒性,同时控制器采用输出反馈形式,便于工程实践。
The reduced order model of the system and related oscillation frequency are identified by total least squares-estimation on signal parameters via rotational technique (TLS-ESPRIT) algorithm, and then using the linear matrix inequality (LMI) based robust control design method a multi-channel additional controller for different oscillation modes occurred in HVDC power transmission system is designed. The balanced truncation method is used to reduce the order of the controller, and both performance optimization and robustness of the controller are taken into account, meanwhile low-frequency oscillation and sub-synchronous oscillation can be suppressed simultaneously. The interaction between control channels is restrained by Butterworth filter in each control channel. To validate the performance of the designed controller, a traditional PID controller is design as the contrast. Simulation results show that the designed multi-channel robust controller can well suppress different oscillation modes simultaneously and possesses strong robustness. Besides, to be convenient for practical application, output feedback control is utilized in the design of the controller.