互联电力系统鲁棒分布式模型预测负荷频率控制

负荷频率控制是现代互联电力系统运行的重要保障.本文针对含有不确定因素和负荷扰动的多区域互联电力系统提出了一种基于线性矩阵不等式参数可调节的鲁棒分布式预测控制算法.设计各个区域控制器目标函数引入相邻区域的状态变量和输入变量,同时考虑发电机变化速率约束和阀门位置约束,将求解一组凸优化问题转化成线性矩阵不等式求解,得到各个区域的控制律,在线性矩阵不等式中引入一组可调参数,将优化一个上限值转化成优化吸引区,降低算法的保守性.仿真结果验证了该算法在负荷扰动、系统参数不确定和结构不确定性情况下具有鲁棒性.

Robust distributed model predictive control for load frequency control of uncertain power systems

Reliable load frequency control is crucial to the operation and design of modern electric power systems. However, thepower systems are always subject to uncertainties and external disturbances. Considering the LFC problem of a multi-area interconnectedpower system, this paper presents a robust distributed model predictive control (RDMPC) based on linear matrix inequalities.The proposed algorithm solves a series of local convex optimization problems to minimize an attractive range for a robust performanceobjective by using a time-varying state-feedback controller for each control area. The scheme incorporates the two critical nonlinearconstraints, e.g., the generation rate constraint and the valve limit, into convex optimization problems based on linear matrix inequalities.Furthermore, the algorithm explores the use of an expanded group of adjustable parameters in LMI to transform an upper bound into anattractive range for reducing conservativeness. Good performance and robustness are obtained in the presence of power system dynamicuncertainties and load change.