Logically constrained optimal power flow: Solver-based mixed-integer nonlinear programming model

doi:10.1016/j.ijepes.2017.11.010

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Logically constrained optimal power flow: Solver-based mixed-integer nonlinear programming model

2018-04-01

Mahdi Pourakbari‐Kasmaei *

José Roberto Sanches Mantovani

DOI：10.1016/j.ijepes.2017.11.010

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Abstract

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There is increasing evidence of the shortage of solver-based models for solving logically-constrained AC optimal power flow problem (LCOPF). Although in the literature the heuristic-based models have been widely used to handle the LCOPF problems with logical terms such as conditional statements, logical-and, logical-or, etc., their requirement of several trials and adjustments plagues finding a trustworthy solution. On the other hand, a well-defined solver-based model is of much interest in practice, due to rapidity and precision in finding an optimal solution. To remedy this shortcoming, in this paper we provide a solver-friendly procedure to recast the logical constraints to solver-based mixed-integer nonlinear programming (MINLP) terms. We specifically investigate the recasting of logical constraints into the terms of the objective function, so it facilitates the pre-solving and probing techniques of commercial solvers and consequently results in a higher computational efficiency. By applying this recast method to the problem, two sub-power- and sub-function-based MINLP models, namely SP-MINLP and SF-MINLP, respectively, are proposed. Results not only show the superiority of the proposed models in finding a better optimal solution, compared to the existing approaches in the literature, but also the effectiveness and computational tractability in solving large-scale power systems under different configurations.

Keywords:

FACTS devices

Logical constraint

Mixed-integer nonlinear programming

Optimal power flow

Solver-based model

Non-smooth terms

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