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author:

Qu, K. (Qu, K..) [1] | Chen, Y. (Chen, Y..) [2] | Xie, S. (Xie, S..) [3] (Scholars:谢仕炜) | Zheng, X. (Zheng, X..) [4] | Zhu, J. (Zhu, J..) [5]

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Scopus

Abstract:

This paper proposes a novel segmented distributionally robust optimization method for real-time power dispatch with correlated wind forecast errors. In the proposed dispatch model, a segmented linear decision rule incorporating an allowed threshold for wind forecast error is developed. The excess wind fluctuation beyond the optimized threshold will be first discarded, and then units adopts the segmented linear decision for the remaining wind forecast error. The segmented linear decision rule upgrades the traditional parameterized ambiguous set into a variable-involved segmented ambiguous set, which makes the dispatch more flexible but meanwhile harder to solve. Through the equivalent conversion of uncertain variables and dual theory of semi-infinite problems, the proposed dispatch model is recast as a semidefinite programming with nonconvex bilinear constraints. To solve the complex problem, a difference-of-convex optimization (DCO) addressing bilinear constraints with alternating optimization (AO)-based initialization is developed. AO with fast computing speed accelerates the convergence by producing a good enough initial feasible solution, while DCO with stronger search ability enhances the solution quality in the subsequent optimization. Finally, numerical simulations in three cases validate the economic efficiency of the proposed model and the superiority of the convexified solving method. IEEE

Keyword:

Automatic generation control Costs difference-of-convex optimization Distributionally robust optimization Optimization real-time power dispatch Real-time systems segmented linear decision rule Uncertainty Wind farms Wind forecasting wind uncertainty

Community:

  • [ 1 ] [Qu K.]School of Electrical Engineering, China University of Mining and Technology, Xuzhou, China
  • [ 2 ] [Chen Y.]Key Laboratory of Far-shore Wind Power Technology of Zhejiang Province, Powerchina Huadong Engineering Corporation Limited, Hangzhou, China
  • [ 3 ] [Xie S.]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, China
  • [ 4 ] [Zheng X.]Southern Methodist University, Dallas, TX, USA
  • [ 5 ] [Zhu J.]School of Electric Power, South China University of Technology, Guangzhou, China

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Source :

IEEE Transactions on Power Systems

ISSN: 0885-8950

Year: 2023

Issue: 2

Volume: 39

Page: 1-14

6 . 5

JCR@2023

6 . 5 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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