旋转备用的经济分配及其内点法实现

在最优潮流中,发电机组出力通常是独立变量,然而系统的旋转备用约束增加了发电机组出力间的耦合关系。基于非线性内点法针对实时旋转备用最优分配问题提出了一种解耦算法,使得发电机约束矩阵和网络约束矩阵在最优潮流中能够单独进行得到。进一步推导得到一个降阶的KKT(Karush-Kuhn-Tucker)系统,其规模由网络自身大小决定,仅通过修改扩展海森矩阵元素即可计及旋转备用约束的影响,并使用先进的超级稀疏技术全面分析、研究了该降阶KKT系统的稀疏结构。该算法涉及的旋转备用也包括了切负荷。

Real Time Spinning Reserve Allocation by a Direct Nonlinear Interior Point Method

System spinning reserve constraint imposes an interdependency among real power generations of the units which are usually independent variables in optimal power flow (OPF). This paper presents a decoupling method for rea! time spinning reserve allocation problem (RTSRA) based on a direct nonlinear interior point method so that the constraints matrix of generation and that of network can be handled separately in OPF. A reduced Karush-Kuhn-Tucker (KKT) system is derived, whose scale is only determined by the network size itself and the influence of spinning reserve constraints can be taken into account by simply modifying corresponding entries of augmented Hessian matrix. The sparsity structure of the reduced KKT system is explored thoroughly to utilize the well developed super sparsity technique. Load curtailment, as another type of spinning reserve, is also considered in the proposed method.