Comparing unscented transformation and point estimate method for probabilistic power flow computation. Issue 3 (8th May 2018)

• Record Type: Journal Article
• Authors: Xiao, Qing; Zhou, Shaowu
• Is Part Of: Compel. Volume 37:Issue 3(2018)
• Page Start: 1290
• Page End: 1303
• Publication Date: 2018-05-08
• Subjects: Nataf transformation -- Numerical integration -- Point estimate method -- Probabilistic power flow -- Unscented transformation; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-09-2017-0393
• Languages: English
• ISSNs: 0332-1649

Abstract

Abstract : Purpose: Unscented transformation (UT) and point estimate method (PEM) are two efficient algorithms for probabilistic power flow (PPF) computation. This paper aims to show the relevance between UT and PEM and to derive a rule to determine the accuracy controlling parameters for UT method. Design/methodology/approach: The authors derive the underlying sampling strategies of UT and PEM and check them in different probability spaces, where quadrature nodes are selected. Findings: Gauss-type quadrature rule can be used to determine the accuracy controlling parameters of UT. If UT method and PEM select quadrature nodes in two probability spaces related by a linear transform, these two algorithms are equivalent. Originality/value: It shows that UT method can be conveniently extended to ( km + 1) scheme ( k = 4; 6; : : : ) by Gauss-type quadrature rule.