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提出一种含电压不可行节点的柔性目标无功优化模型.结合无功优化不可行问题的薄弱节点信息,提出了薄弱区的基本概念,并在基础上构建了柔性目标无功优化模型.该模型包含薄弱区的电压控制模型和非薄弱区的无功优化2个子模型,对应的目标函数分别为电压不可行节点的电压越下限量最少和网损最低,约束条件则在传统的无功优化模型上更新电压不可行节点的电压幅值安全下限值.采用代表薄弱区与非薄弱区种群先后更新策略的协同进化算法求解所建模型,通过63节点厂站模拟系统进行仿真分析,验证了所提方法的有效性.“,”This paper proposed a reactive optimization model with flexible objectives for power systems containing voltage-violated buses.Based on the weak buses with the infeasibility problem,the concept of weak areas was proposed,followed by establishing the reactive optimization model with flexible objectives.This model was composed of a voltage control sub-model for weak areas and a reactive optimization sub-model for non-weak areas.The objectives were the minimum downside voltage deviation for voltage-violated buses and the minimum real power loss respectively,with consideration of updating the lower voltage limit constantly based on the conventional reactive optimization constraints.The chronological population-reproducing strategy for weak areas and non-weak areas was hired in the parallel cooperative co-evolutionary differential evolution algorithm (IPCCD-EA) for solving the proposed model.Finally,a 63-bus test system was used for simulating and verifying that the proposed method was effective.