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An analysis of the branch and bound method in the resolution of the optimal power flow problem with discrete control variables

Grant number: 16/06756-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2016
Effective date (End): December 31, 2017
Field of knowledge:Engineering - Electrical Engineering - Power Systems
Principal researcher:Edilaine Martins Soler
Grantee:Luiza Rodrigues Matos
Home Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil

Abstract

The purpose of an Optimal Power Flow problem is to determine the state of a power transmission system that optimizes a specific performance of this system and satisfies its physical and operational constraints. The Optimal Power Flow problem can be mathematically modeled as a Nonlinear Programming Problem with Discrete and Continuous Control Variables. Due to the difficulty in solving this problem because of the discrete variables, most of the approaches in the literature ignores the discrete nature of these variables and considers all the variables of the Optimal Power Flow problem as continuous variables. These formulations are not realistic, because some controls can be only adjusted by discrete steps. This research project aims to investigate the Branch-and-Bound method and its variations in solving the Optimal Power Flow problem considering the discrete and continuous variables of this problem. Numerical tests with the IEEE test systems will be conducted in order to validate the developed approach. (AU)

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