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

Conference paper (2020)

Authors

Juan S. Giraldo Eindhoven University of Technology
P.P. Vergara Barrios Eindhoven University of Technology
Juan Camilo Lopez University of Campinas
Phuong H. Nguyen Eindhoven University of Technology
Nikolaos G. Paterakis Eindhoven University of Technology
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Published Date

2020

Language

English

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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.