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Linearized hybrid stochastic/robust scheduling of active distribution networks encompassing PVs

  • Arash Baharvandi
  • , Jamshid Aghaei*
  • , Ahmad Nikoobakht
  • , Taher Niknam
  • , Vahid Vahidinasab
  • , Damian Giaouris
  • , Phil Taylor
  • *Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

47 Citations (Scopus)

Abstract

This paper proposes an optimization framework to deal with the uncertainty in a day-ahead scheduling of smart active distribution networks (ADNs). The optimal scheduling for a power grid is obtained such that the operation costs of distributed generations (DGs) and the main grid are minimized. Unpredictable demand and photovoltaics (PVs) impose some challenges such as uncertainty. So, the uncertainty of demand and PVs forecasting errors are modeled using a hybrid stochastic/robust (HSR) optimization method. The proposed model is used for the optimal day-ahead scheduling of ADNs in a way to benefit from the advantages of both methods. Also, in this paper, the ac load flow constraints are linearized to moderate the complexity of the formulation. Accordingly, a mixed-integer linear programming (MILP) formulation is presented to solve the proposed day-ahead scheduling problem of ADNs. To evaluate the performance of the proposed linearized HSR (LHSR) method, the IEEE 33-bus distribution test system is used as a case study.

Original languageEnglish
Article number8740940
Pages (from-to)357-367
Number of pages11
JournalIEEE Transactions on Smart Grid
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 2020

Bibliographical note

Funding Information:
Manuscript received December 30, 2018; revised April 13, 2019; accepted May 30, 2019. Date of publication June 19, 2019; date of current version December 23, 2019. This work was supported in part by the InteGRIDy Project through European Union’s H2020 Research and Innovation Programme under Grant 731268. Paper no. TSG-01956-2018. (Corresponding author: Jamshid Aghaei.) A. Baharvandi, J. Aghaei, and T. Niknam are with the Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz 8643278943, Iran (e-mail: [email protected]; [email protected]; [email protected]).

Publisher Copyright:
© 2010-2012 IEEE.

Keywords

  • beta distribution
  • bounded symmetric optimization
  • Distributed generations
  • mixed integer linear programming (MILP)
  • normal distribution
  • robust optimization
  • stochastic optimization

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