含广义统一潮流控制器(GUPFC)的最优潮流模型和算法研究

广义统一潮流控制器(GUPFC)作为比统一潮流控制器(UPFC)控制能力更强大的FACTS装置，其对最优潮流(Optimal Power Flow)的影响需要深入地研究。根据GUPFC的控制原理，基于功率注入法建立了含GUPFC的OPF数学模型，并采用基于信赖域内点法的最优潮流算法予以求解。该算法采用多步中心校正原一对偶内点法连续求解线性规划子问题，通过信赖域决定线性化步长的选取。对IEEE30和118节点系统作了数值计算，结果表明，GUPFC不仅可控制节点电压而且可控制多条线路潮流，显示出强大的控制能力，同时也说明了含GUPFC的OPF数学模型和算法的可行性和有效性。

Study on mathematical model and algorithm of optimal power flow with generalized unified power flow controller (GUPFC)

The generalized unified power flow controller (GUPFC) is a novel FACTS device that has stronger control capability than the unified power flow controller (UPFC). Its influence on optimal power flow (OPF) should be further studied. This paper establishes the power injected method based mathematical model of the GUPFC according to the controlling principle. The OPF model incorporating the GUPFC is solved by the OPF algorithm based on the trust region interior point method. The algorithm successively solves linear programming sub-problems, which uses a primal-dual interior point method with multiple centrality corrections. Linear step size is adjusted by using the trust region method. Numerical results of IEEE 30 and 118 bus systems are presented. The results show that the GUPFC has strong capability that can control bus voltage and power flows of more than one line, and demonstrate the feasibility as well as the effectiveness of the GUPFC model established and the OPF algorithm proposed.