结合模糊综合评判与决策的电力系统状态估计

针对电力系统状态估计中各种类型量测数据精度对状态估计结果有重要影响的问题,在基本加权最小二乘法估计的基础上,结合模糊综合评判与决策中的层次分析法(Analytic Hierarchy Process,AHP)讨论了一种改进权值确定方法的加权最小二乘法。它是将电力系统状态估计分解为量测值与估计值的差值平方最小(目标)、不同类型的量测值(准则)、各类型量测值相对精度的大小(方案)等层次,在此基础上进行定性和定量分析。通过IEEE 14-bus、IEEE 30-bus和IEEE 57-bus的标准算例进行仿真分析,证明层次分析法确定权值的加权最小二乘法能够有效地计算出电力系统的状态估计值。通过和基本加权最小二乘法进行比较,证明了该方法的优越性和实用性。

Power system state estimation combined with fuzzy comprehensive evaluation and decision-making

In power system state estimation, the accuracy of different type measurements will excert a great impact on the state estimation results, and thus to determine the weight of the measurement is particularly important. Based on the weighted least squares method, this paper proposes a weighted least squares method that the weight of measurements is determined by the Analytic Hierarchy Process (AHP). The AHP method decomposes the power system state estimation into the minimum square of the difference between the measurements and estimated values(target), different types of measurement value (guideline) and relative accuracy of each type measurement (scheme), and based on which qualitative and quantitative analysis is conducted. Experimental results of IEEE 14-bus system show that using the proposed method the state estimation values of the power system can be estimated effectively. Through comparing the proposed method with basic weighted least squares method the effectiveness and applicability of the proposed algorithm are validated.