基于蚁群算法和内点法的无功优化混合策略

李秀卿<sup>1</sup>; 王涛<sup>1</sup>; 王凯<sup>2</sup>; 张建国<sup>3</sup>

引用本文:	李秀卿,王涛,王凯,等.基于蚁群算法和内点法的无功优化混合策略[J].电力系统保护与控制,2008,36(1):22-26.
	LI Xiu-qing,WANG Tao,WANG Kai,et al.A hybrid strategy based on ACO and IPM for optimal reactive power flow[J].Power System Protection and Control,2008,36(1):22-26

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基于蚁群算法和内点法的无功优化混合策略
李秀卿¹, 王涛, 王凯², 张建国³
1.东北电力大学电气工程学院，吉林吉林 132012;2.朝阳供电公司，辽宁朝阳 122000;3.大庆油田第十采油厂，黑龙江大庆 166405

摘要:

基于蚁群优化算法与内点法，提出了一种新颖的混合策略来求解电力系统无功优化问题：不考虑无功优化中的离散约束，采用内点法求解得到初始解；根据优化变量的不同性质将无功优化问题分解为离散优化和连续优化2个子问题，并采用蚁群优化算法和内点法交替求解，使两者的优化结果互为基础、相互利用，从而保证了混合策略的整体寻优效率。最后以IEEE 30和IEEE 118节点作为试验系统，与常规的离散优化算法做比较，验证了该算法的正确性和有效性。

关键词: 电力系统无功优化混合整数规划内点法蚁群算法

DOI：10.7667/j.issn.1674-3415.2008.01.006

分类号:

基金项目:北京市自然科学基金资助项目（306201）

A hybrid strategy based on ACO and IPM for optimal reactive power flow

LI Xiu-qing¹, WANG Tao, WANG Kai², ZHANG Jian-guo³

1.School of Electrical Engineering，Northeast Dianli University，Jilin 132012，China;2.Chaoyang Power Supply Company，Chaoyang 122000，China;3．No．10 Oil Production Plant of Daqing Oilfield，Daqing 166405，China

Abstract:

By integrating a ant colony optimization algorithm (ACO) with an interior point method (IPM)， a hybrid strategy for the optimal reactive power flow (ORPF) problem is proposed．First，the original ORPF problem is converted to a continuous non-linear programming problem by relaxing the discrete variables，and the initial solution is obtained by the IPM．Then according to the discrete feature of the control variables，the original ORPF problem is decomposed into a continuous optimization sub-problem and a discrete optimization sub-problem，which are solved by IPM and ACO respectively．By solving the two sub-problems alternately，the optimal solution of the ORPF problem can be obtained．IPM and GA take advantage of each other，so that the efficiency of the hybrid strategy is greatly improved．Furthemore，the numerical example of IEEE 30-bus and IEEE 118-bus system is employed to validate correctness and effectiveness of the proposed algorithm, and the result based on this algorithm is compared with that based on conventional discretization algorithm．

Key words: power system optimal reactive power flow mixed integer programming interior point method ant colony optimization algorithm

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