AGC机组动态优化调度模型的凸松弛及其双层迭代算法  

Convex Relaxation and Bi-level Iterative Algorithm for Dynamic Optimal Dispatch Model of Automatic Generation Control Units

作　　者：赵霞[1] 梁钰[1] 孙名轶 毛杨 ZHAO Xia;LIANG Yu;SUN Mingyi;MAO Yang(State Key Laboratory of Power Transmission Equipment&System Security and New Technology(Chongqing University),Chongqing 400044,China)

机构地区：[1]输配电装备及系统安全与新技术国家重点实验室(重庆大学),重庆市400044

出　　处：《电力系统自动化》2022年第17期228-238,共11页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(51307186)。

摘　　要：为了应对高比例可再生能源接入给互联电网频率控制带来的挑战,现有研究提出通过自动发电控制(AGC)机组动态优化调度来克服常规AGC控制滞后的问题。然而,AGC机组动态优化调度模型是混合整数非线性规划(MINLP)模型,不易求解。为此,基于凸优化理论,提出了AGC机组动态优化调度模型的改进算法。首先,基于变量替换及分段McCormick包络技术对原模型的双线性项进行松弛;然后,通过功率损耗的线性化处理,将原模型转化为可高效求解的混合整数线性规划(MILP)模型;在此基础上,进一步提出一种双层迭代算法,通过内层循环收紧双线性项松弛间隙、外层循环减小功率损耗的线性化误差,以提高调度模型的求解精度。最后,采用IEEE 14节点系统和IEEE 57节点系统验证了所提改进算法的有效性。To cope with the challenge of frequency control of interconnected power grids brought by the high proportion of renewable energy,the existing studies have proposed that the drawback of conventional lag control of automatic generation control(AGC)units is overcome by the dynamic optimal dispatch of AGC units.However,the dynamic optimal dispatch model of AGC units is a mixed-integer nonlinear programming(MINLP)model,which is not easy to solve.Based on the convex optimization theory,an improved algorithm for the dynamic optimal dispatch model of AGC units is proposed.Firstly,the bilinear term of the original model is relaxed based on the variable substitution and piecewise McCormick envelope technique.Secondly,the original model is transformed into a mixed-integer linear programming(MILP)model that can be efficiently solved by linearizing the power losses.On this basis,a bi-level iterative algorithm is proposed to improve the solving accuracy of the dispatch model by tightening the bilinear term relaxation gap through the inner loop and reducing the linearization error of power loss through the outer loop.Finally,the IEEE 14-bus system and the IEEE 57-bus system are adopted to verify the effectiveness of the proposed improved algorithm.

关 键 词：互联电网 自动发电控制 优化调度 双层迭代算法 凸优化 

分 类 号：TM73[电气工程—电力系统及自动化]