A Three-point Estimate Method for Solving Probabilistic Power Flow Problems with Correlated Random Variables
Bin Zou · Dianli xitong zidonghua · 2012
The third-order polynomial normal transformation(TPNT) technique was employed to transform a multivariate non-normal dependent random variables group into a multivariate standard normal independent one.Sampling points were obtained in the standard normal independent variable space and transformed into multivariate non-normal dependent ones.Incorporating three-point estimate method with TPNT technique,a TPNT-based three-point estimate method is proposed to solve probabilistic power flow problems with non-normal dependent variables.A case study on a slightly modified IEEE 118-bus system shows that,the proposed method has high accuracy and computational efficiency.It is a qualified tool to discuss the probabilistic power flow problems with non-normal dependent variables.