计及电压稳定的最优潮流二阶锥规划方法

Second-order Cone Programming Method for Optimal Power Flow with the Consideration of Voltage Stability

为平衡系统的安全性与经济性,本文采用电压稳定裕度指标,建立计及电压稳定约束的最优潮流模型。同时增加一组临界状态下的静态安全约束,通过最优潮流模型求得电压稳定裕度中的临界参数。所建模型是多维非线性规划问题,利用二阶锥松弛方法,将其转化为二阶锥规划模型,求得全局最优解。在IEEE9节点和IEEE30节点系统中测试表明,提出的方法能够量化不同稳定裕度对发电成本及节点电压的影响,同时为无功补偿装置的安装提供指导。

To strike a balance between the security and economic efficiency of power systems,an optimal power flow(OPF)model is established with the consideration of voltage stability constraints,in which voltage stability margin(VSM)is adopted as an index.In addition,a set of static security constraints in critical state are added,and the criti cal parameters in VSM are obtained via the OPF model.The established model is a multi-dimensional nonlinear pro gramming problem,and by using a second-order cone(SOC)relaxation method,it is transformed into a second-order cone programming(SOCP)model to obtain the global optimal solution.The tests on IEEE9-bus and IEEE30-bus sys tems show that the proposed method can quantify the effect of different VSMs on the power generation cost and node volt age,and provide guidance for the installation of reactive power compensation devices.