ADMM应用于求解多区域互联电网分布式无功优化问题

Application of ADMM to Distributed Reactive-power Optimization of Multi-area Interconnected Power Grids

该文应用交替方向乘子法求解多区域互联电网的分布式无功优化问题,并提出改善其收敛性的方法。以区域间的联络线作为边界,将电网分成若干个通过边界线路连接的子区域,构建边界线路两端节点电压幅值和相角的线性耦合约束,并把边界线路的有功损耗计入所归属子区域的总损耗之中,从而建立分布式无功优化模型。针对交替方向乘子法收敛慢的问题,采用两种改进策略,即调整罚因子和引入松弛因子。通过4个标准系统和1个1 855节点实际系统的测试表明,引入改进策略后算法的收敛速度得到大幅提升。

In this paper, the distributed reactive-power optimization problem is solved in a muhi-area interconnected power system by using alternating direction method of multipliers （ADMM）, and a method is proposed to improve its convergence. With the interconnection lines among areas as boundaries, the linear coupling constraints are constructed for the voltage amplitude and phase angle of boundary line end nodes, and the power network is partitioned into several sub-areas connected by boundary lines. Moreover, the active power losses of boundary lines are incorporated into the total loss of sub-areas which they belong to. In this way, a distributed reactive-power optimization model is established. Aiming at the problem of slow convergence speed of ADMM, two improved strategies are adopted, i.e., adjusting penal- ty factors and introducing relaxation factors. The test results on four standard systems and a real 1 855-node system show that the convergence speed is improved greatly after the introduction of the proposed method.