电力系统无功优化线性规划问题中线性步长的动态调整策略

提出了一种电力系统无功优化线性规划问题中线性步长的动态调整策略。利用潮流雅可比矩阵直接变换求取灵敏度系数矩阵,并引入信赖域思想,建立了基于信赖域的无功优化新模型,采用原?对偶内点法直接求解。IEEE14节点、30节点、57节点系统的计算结果表明,该算法能有效解决无功优化线性步长的选择问题,同时在初始点的选择上不要求从内点启动,迭代收敛次数稳定,可用于电力系统无功优化的实用化计算。

A New Strategy of Dynamically Adjusting Step Size in Linear Programming Model for Power System Reactive Power Optimization

A new strategy of dynamically adjusting step size in linear programming model for power system reactive power optimization is proposed. In this strategy by use of direct transform of Jacobian matrix of power flow the sensitivity coefficient matrix can be directly obtained; by means of leading in the concept of trust region a new trust region based model for reactive power optimization, which can be directly solved by primal-dual interior point method, is built. Simulation results of respectively applying the proposed method to IEEE 14-bus system, 30-bus system as well as and 57-bus system show that this method can dynamically choose the linear step size in reactive power optimization, in addition, it is not required to select the initial point from the interior points, the iteration times can be remarkably reduced and convergence is stable. Thus, the proposed method is suitable to practical calculation of reactive power optimization.