Probabilistic Computational Model for Correlated Wind Farms Using Copula Theory
Author(s) -
Li Bin,
Muhammad Shahzad,
Qi Bing,
Muhammad Umair Shoukat,
Muhammad Shakeel,
Elshiekh K. Mohammedsaeed
Publication year - 2018
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2018.2812790
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
This paper proposed a probabilistic load flow analysis of correlated wind farms based on Copula theory. This method addresses the linear and non-linear dependence between random variables more efficiently and accurately than other methods. The proposed method is nearly unconstrained to the marginal probability distribution types of the input random variables. The dependency between the input random variables is established using Copula theory in this paper. An improved Latin hypercube sampling is adopted due to the real discrete data. Uncertainty and dependence factors are considered to access the load flow of the power system accurately and comprehensively. The validity of the probability distribution between the correlated random variables is evaluated by adopting the power output of wind farms located in New Jersey. The effectiveness and accuracy of the proposed model are investigated using the comparative test in modified IEEE 14-bus and IEEE 118-bus test systems.
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