NDLI: Numerical method for probabilistic load flow computation with multiple correlated random variables

Content Provider	IET Digital Library
Author	Huang, Yu Xu, Qingshan Yang, Yang Jiang, Xianqiang
Abstract	Grid complexity is increasing progressively as the deepening penetration of renewable power generation and unpredictable demand, which necessitates an exhaustive assessment of system parameters in a probabilistic manner. In this study, the authors employ a dimensional reduction integral method to tackle the above problems challenged by dimensionality. Their approach transforms the multivariate raw moments into a linear sum of several one-dimensional integrals, which could be solved by Gauss quadrature. To handle the correlation between non-Gaussian input variables, Nataf transformation is used to map the inputs into the independent normal domain. Instead of commonly used series expansion such as A-type Gram–Charlier, Edgeworth or Cornish–Fisher, the probability distributions of output variables can be better approximated by C-type Gram–Charlier series with the calculated moments. The salient feature of the proposed method is demonstrated in a modified IEEE 118-bus test system with respect to both accuracy and run times.
Starting Page	1295
Ending Page	1303
Page Count	9
ISSN	17521416
Volume Number	12
e-ISSN	17521424
Issue Number	Issue 11, Aug (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rpg/12/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rpg.2017.0067
Journal	IET Renewable Power Generation
Publisher Date	2018-04-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory C-type Gram-Charlier Series Dimensional Reduction Integral Method Exhaustive System Parameter Assessment Gauss Quadrature Grid Complexity Integral Equation Integration Interpolation And Function Approximation Load Flow Modified IEEE 118-bus Test System Multiple Correlated Random Variables Multivariate Raw Moments Nataf Transformation NonGaussian Input Variables Numerical Analysis Numerical Integration And Differentiation Numerical Method One-dimensional Integrals Power Grid Power System Probabilistic Load Flow Computation Probability Distribution Renewable Power Generation Statistical Distribution Statistics Unpredictable Demand
Content Type	Text
Resource Type	Article
Subject	Renewable Energy, Sustainability and the Environment

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