Optimal Power Flow Solution for Distribution Networks using Quadratically Constrained Programming and McCormick Relaxation Technique

Mohammad Sadegh Javadi, Clara Sofia Gouveia, Leonel Magalhães Carvalho, Ricardo Silva

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

16 Citations (Scopus)

Abstract

This paper presents a quadratically constrained programming (QCP) model to tackle the optimal power flow (OPF) problem in distribution networks. The proposed model is fast, reliable, and precise enough to be embedded into the multi-temporal power system analysis. The proposed model benefits from a standard QCP to solve the branch active and reactive power flows. The second-order conic programming (SOCP) approach has been applied to address the quadratic constraints. The nonconvex feature of the OPF problem has been relaxed utilizing the McCormick envelopes. To find the minimum current of each branch, the lossless power flow model has been first solved and the obtained results have been considered for solving the OPF problem. The IEEE 33-bus test system has been selected as the benchmark to verify the efficient performance of the proposed OPF model. The simulation study confirms that the McCormick envelopes used in the QCP approach lead to precise results with a very fast convergence time. Overall, the presented model for the OPF can be extended for both planning and operation purposes in distribution system studies.

Original languageEnglish
Title of host publication21st IEEE International Conference on Environment and Electrical Engineering and 2021 5th IEEE Industrial and Commercial Power System Europe, EEEIC / I and CPS Europe 2021 - Proceedings
EditorsZbigniew M. Leonowicz
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665436120
DOIs
Publication statusPublished - 2021
Externally publishedYes
Event21st IEEE International Conference on Environment and Electrical Engineering and 2021 5th IEEE Industrial and Commercial Power System Europe, EEEIC / I and CPS Europe 2021 - Bari, Italy
Duration: 7 Sept 202110 Sept 2021

Publication series

Name21st IEEE International Conference on Environment and Electrical Engineering and 2021 5th IEEE Industrial and Commercial Power System Europe, EEEIC / I and CPS Europe 2021 - Proceedings

Conference

Conference21st IEEE International Conference on Environment and Electrical Engineering and 2021 5th IEEE Industrial and Commercial Power System Europe, EEEIC / I and CPS Europe 2021
Country/TerritoryItaly
CityBari
Period7/09/2110/09/21

Bibliographical note

Publisher Copyright:
© 2021 IEEE

Keywords

  • Convex Optimization Model
  • Distribution Network
  • Optimal Power Flow
  • Second-Order Conic Programming

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