A novel linear optimal power flow model for three-phase electrical distribution systems

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Abstract

This paper presents a new linear optimal power flow model for three-phase unbalanced electrical distribution systems considering binary variables. The proposed formulation is a mixed-integer linear programming problem, aiming at minimizing the operational costs of the network while guaranteeing operational constraints. Two new linearizations for branch current and nodal voltage magnitudes are introduced. The proposed branch current magnitude linearization provides a discretization of the Euclidean norm through a set of intersecting planes, while the bus voltage magnitude approximation uses a linear combination of the L1 and the L norm. The proposed approach is compared to a nonlinear power flow for an unbalanced distribution system with fixed power injections. The obtained results showed errors of less than 4% for currents and 0.005% for voltages, demonstrating that satisfactory accuracy may be obtained using the proposed linearizations.

Original languageEnglish
Title of host publicationSEST 2020 - 3rd International Conference on Smart Energy Systems and Technologies
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Electronic)9781728147017
DOIs
Publication statusPublished - Sep 2020
Event3rd International Conference on Smart Energy Systems and Technologies, SEST 2020 - Virtual, Istanbul, Turkey
Duration: 7 Sep 20209 Sep 2020

Conference

Conference3rd International Conference on Smart Energy Systems and Technologies, SEST 2020
CountryTurkey
CityVirtual, Istanbul
Period7/09/209/09/20

Keywords

  • Electrical distribution systems
  • Linear optimal power flow
  • Mixed-integer linear programming
  • Three-phase
  • Unbalanced

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