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

Conference Paper (2020)
Author(s)

Juan S. Giraldo (Eindhoven University of Technology)

Pedro P. Vergara (Eindhoven University of Technology)

Juan Camilo Lopez (University of Campinas)

Phuong H. Nguyen (Eindhoven University of Technology)

Nikolaos G. Paterakis (Eindhoven University of Technology)

Affiliation
External organisation
DOI related publication
https://doi.org/10.1109/SEST48500.2020.9203557
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Publication Year
2020
Language
English
Affiliation
External organisation
ISBN (electronic)
9781728147017

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.

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