基于集合论估计的电网状态辨识(五)拓扑错误识别

电网的拓扑模型是感知电网状态的基础,错误的拓扑模型将导致状态辨识的结果严重偏离真实的运行状态,因此拓扑错误的辨识非常关键。目前已有拓扑错误辨识的方法在应用于大规模系统和同时辨识不良数据和拓扑错误等方面存在不足。文中基于最少拓扑错误准则,建立了拓扑错误识别的混合整数规划模型,其中测量方程以线性约束和锥约束的形式给出,并采用混合整数不等式来解耦整数变量和连续变量。该模型可高效求解,且可有效识别支路拓扑错误和厂站拓扑错误。

Power System State Identification Based on Set Theory Estimation Part Five Topology Error Identification

The topology model of a power grid is the basis of the perception of power grid state. An erroneous topology model will lead to serious deviation of the results of state identification from the actual state of power grid. Thus, topology error identification is of utmost importance. Existing topology error identification methods have inadequacies when applied to large-scale systems and when used to identify bad data and topology error at the same time. Based on the minimum topology error criterion, a mixed-integer programming model is formulated to identify topology error. In the model, the measurement functions are denoted as linear constraints and conic constraints. The products of binary variables and continuous variables are linearized by transforming them to mixed integer inequalities. After linearization, the model can be efficiently solved. Both the branch topology error and the substation topology error can be identified correctly. This work is supported by National Natural Science Foundation of China (No. 51207136).