基于不确定测度的电力系统抗差状态估计 (二)模型方法

Uncertain Measure Based Robust State Estimation of Power System Part Two Model and Solution

以基于不确定测度的评价指标即兼顾测点正常率的偏离度为准则函数,提出了状态估计的多目标规划模型。为便于求解,采用目标规划法将所述状态估计的多目标规划问题转化为单目标规划问题,并采用双曲正切型矩形脉冲及采用改进凝聚函数逼近无穷范数型函数,从而将模型转化为目标与约束处处连续可导的单目标规划问题,最后采用拉格朗日乘子法进行求解。所述方法具有适应小样本估计、估计结果测点正常率高与偏离度小及抗差性强的优点。

A multi-objective programming model of state estimation is proposed, which is taking the evaluation index based on the uncertainty measure and the deviation considering the normal rate of measure point as the criterion function. In order to solve this model, the multi-objective programming problem is transformed into a single objective programming problem by the objective programming method. The hyperbolic tangent rectangular pulse and the improved cohesive function are used to approximate infinite norm functions. Consequently, the model is transfered into a single objective programming problem and the objective and constraints in the model are continuous and derivable everywhere. Finally, the Lagrangian multiplier method is used to solve the model. The proposed method has the advantages of adapting to small sample estimation, high normal rate of estimating measure point, small deviation and good robust performance.