A Julia Module for Polynomial Optimization with Complex Variables applied to Optimal Power Flow

Abstract : Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables consists in optimizing a real-valued polynomial whose variables and coefficients are complex numbers subject to some complex polynomial equality or inequality constraints. These problems are usually directly converted to real variables, either using the polar form or the rectangular form. In this work, we propose a Julia module allowing the representation of polynomial problems in their original complex formulation. This module is applied to power systems optimization and its generic design enables the description of several variants of power system problems. Results for the Optimal Power Flow in Alternating Current problem and for the Preventive-Security Constrained Optimal Power Flow problem are presented.
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https://hal.archives-ouvertes.fr/hal-02099264
Contributeur : Julie Sliwak <>
Soumis le : jeudi 18 avril 2019 - 16:57:42
Dernière modification le : dimanche 21 avril 2019 - 01:15:40

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  • HAL Id : hal-02099264, version 1

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Julie Sliwak, Manuel Ruiz, Miguel Anjos, Lucas Létocart, Emiliano Traversi. A Julia Module for Polynomial Optimization with Complex Variables applied to Optimal Power Flow. 2019. ⟨hal-02099264⟩

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