基于0-1整数规划算法的PMU量测点优化配置新方法

A new method of the optimal placement PMU based on 0-1 integer program

为了提高同步相量测量装置的优化配置速度,提出了基于0-1整数规划算法的PMU量测点优化配置方法。在0-1整数规划算法的基础上,根据节点的可观测性建立数学模型,考虑节点间的相互关系构建邻接矩阵并进行分析,求解量测点模型获得量测配置优化位置。对IEEE-14和IEEE-18节点系统进行实验仿真,并利用Lingo工具验证所提0-1整数规划算法,获取PMU优化位置和速度。该算法与未改进的0-1整数规划算法相对比,结果表明,该方法减少了变量数目,简化了约束条件,减少了迭代次数,提高了收敛速度,验证了所提方法的有效性和实用性。

To increase the speed of the optimal placement of phasor measurement unit(PMU), an optimal placement scheme for PMU measuring point based on 0-1 integer programming algorithm is proposed. Based on 0-1 integer programming algorithm, the mathematic model is established according to node's observability. The connectivity matrix is obtained by the connection relation between nodes and the matrix is analyzed. Mathematical model is solved to get the PMU optimal configuration position. The simulation is conducted on IEEE-14, IEEE-18 bus system, and the proposed 0-1 integer program model is verified by the Lingo software, and then PMU optimal position and speed are got. Comparing the 0-1 integer program model before improvement, the result indicates that the proposed method simplifies the number of variables, reduces the constrained conditions and iterations, and improves the convergence of calculation process. The simulations verify the effectiveness and practicality of the proposed method.