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Energies 2016, 9(9), 704; doi:10.3390/en9090704

Optimal Available Transfer Capability Assessment Strategy for Wind Integrated Transmission Systems Considering Uncertainty of Wind Power Probability Distribution

1
College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
2
State Grid Zhejiang Electric Power Company, Hangzhou 310007, China
3
School of Urban Rail Transportation, Changzhou University, Changzhou 213164, China
4
China Electric Power Research Institute (Nanjing), Nanjing 210003, China
*
Author to whom correspondence should be addressed.
Academic Editor: Gianfranco Chicco
Received: 14 May 2016 / Revised: 14 August 2016 / Accepted: 21 August 2016 / Published: 1 September 2016
(This article belongs to the Special Issue Advances in Power System Operations and Planning)
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Abstract

Wind power prediction research shows that it is difficult to accurately and effectively estimate the probability distribution (PD) of wind power. When only partial information of the wind power probability distribution function is available, an optimal available transfer capability (ATC) assessment strategy considering the uncertainty on the wind power probability distribution is proposed in this paper. As wind power probability distribution is not accurately given, the proposed strategy can efficiently maximize ATC with the security operation constraints satisfied under any wind power PD function case in the uncertainty set. A distributional robust chance constrained (DRCC) model is developed to describe an optimal ATC assessment problem. To achieve tractability of the DRCC model, the dual optimization, S-lemma and Schur complement are adopted to eliminate the uncertain wind power vector in the DRCC model. According to the characteristics of the problem, the linear matrix inequality (LMI)-based particle swarm optimization (PSO) algorithm is used to solve the DRCC model which contains first and second-order moment information of the wind power. The modified IEEE 30-bus system simulation results show the feasibility and effectiveness of the proposed ATC assessment strategy. View Full-Text
Keywords: transmission system; wind power; available transfer capacity; uncertainty; distributional robust; linear matrix inequality (LMI) transmission system; wind power; available transfer capacity; uncertainty; distributional robust; linear matrix inequality (LMI)
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Xie, J.; Wang, L.; Bian, Q.; Zhang, X.; Zeng, D.; Wang, K. Optimal Available Transfer Capability Assessment Strategy for Wind Integrated Transmission Systems Considering Uncertainty of Wind Power Probability Distribution. Energies 2016, 9, 704.

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