基于二层规划的无功优化模型及其混合算法  

REACTIVE POWER OPTIMIZATION MODEL AND ITS HYBRID ALGORITHM BASED ON BILEVEL PROGRAMMING

作　　者：王淑芬[1] 万仲平[1] 樊恒[2] 肖昌育[3] 黄要桂[3] 

机构地区：[1]武汉大学数学与统计学院,湖北省武汉市430072 [2]中南电力设计院,湖北省武汉市430071 [3]华中电力调度通信中心,湖北省武汉市430067

出　　处：《电网技术》2005年第9期22-25,共4页Power System Technology

基　　金：国家自然科学基金资助项目(70371032)~~

摘　　要：建立了电力系统无功优化的二层规划数学模型。基于二层规划模型和遗传算法、模拟退火算法的特点,构造了求解该模型的混合算法,即上层采用遗传算法求解,下层采用模拟退火法求解。对IEEE-6节点和IEEE-30节点系统进行的仿真计算表明所建立的模型和算法有效可行,对于大系统而言,该算法与上下层均采用遗传算法相比能大大提高计算速度。A new bilevel programming model for power system reactive power optimization is proposed. Based on bilevel programming and according to the features of genetic algorithm and simulated annealing algorithm, a hybrid algorithm to solve this model is constructed, i.e., the upper level is solved by genetic algorithm and the lower one by simulated annealing algorithm. The simulation by IEEE 6-bus system and IEEE 30-bus system show that the proposed model and algorithm are effective and feasible. For large scale power grid, the calculation speed can be obviously speeded up by the proposed algorithm than that by genetic algorithm for both layers.

关 键 词：混合算法 二层规划 无功优化模型 遗传算法 模拟退火算法 模拟退火法 数学模型 电力系统 规划模型 节点系统 计算速度 求解 计算表 大系统 

分 类 号：O221[理学—运筹学与控制论] TP301.6[理学—数学]