基于重启动全纯函数嵌入的电力系统经济调度  

Economic Dispatch Method of Power System Based on Restarted Holomorphic Function Embedding

作　　者：潘世贤 李志刚 郑杰辉[1] 季天瑶 陈思思 PAN Shixian;LI Zhigang;ZHENG Jiehui;JI Tianyao;CHEN Sisi(School of Electrical Power Engineering,South China University of Technology,Guangzhou,Guangdong 510641,China)

机构地区：[1]华南理工大学电力学院,广东广州510641

出　　处：《广东电力》2022年第10期36-46,共11页Guangdong Electric Power

基　　金：国家自然科学基金面上项目(52177086)。

摘　　要：求解电力系统经济调度问题时存在以下不足:传统数学规划类算法依赖于初值,易收敛到局部最优;启发式算法可以跳出局部最优,但牺牲了计算速度和鲁棒性。为了克服这些问题,提出一种用于求解电力系统经济调度的重启动全纯函数嵌入式算法,该方法引入重启动机制和启发式规则。重启动机制将帕德近似计算限制在低阶,避免计算高阶时的高耗时和停滞解问题;启发式规则能够根据上一过程的近似解筛除部分约束,降低求解Karush-Kuhn-Tucker方程组的规模,并确定合适的初始值。以多个不同规模的静态和动态经济调度问题为算例进行测试,结果表明所提方法能够高效、准确地求解经济调度问题,而且比传统全纯函数嵌入式算法和内点法的收敛速度更快,执行时间更少。The traditional mathematical programming is sensitive to the initial guess and converges to the local optimum when solving the economic dispatch problem.While the heuristic methods jump out the local optimum at the sacrifice of computation speed and robustness.To tackle these problems,this paper proposes a restarted holomorphic function embedding method,which introduces a restarted mechanism and heuristic rules.The restarting process limits the Padéapproximant to the low order and avoids the lengthy process and stagnate solutions in high-order calculation.The heuristic rules remove a part of constrains and reduce the scale of Karush-Kuhn-Tucker equations as well as select the appropriate initial guess.This method is numerically validated to solve different static and dynamic dispatch problems effectively and accurately and the results show great convergent speed and less execution time,compared with the holomorphic function embedding method and the interior point method.

关 键 词：经济调度 全纯函数嵌入 重启动 爬坡约束 Karush-Kuhn-Tucker条件 

分 类 号：TM73[电气工程—电力系统及自动化]