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arXiv · 1401.1105

Relaxations for multi-period optimal power flow problems with discrete decision variables

Quentin Gemine·Damien Ernst·Quentin Louveaux·Bertrand Cornélusse
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Abstract

We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables that define mixed-integer non-convex mathematical programs. We propose two types of relaxations to tackle these problems. One is based on a Lagrangian relaxation and the other is based on a network flow relaxation. Both relaxations are tested on several benchmarks and, although they provide a comparable dual bound, it appears that the constraints in the solutions derived from the network flow relaxation are significantly less violated.

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Quentin Gemine, Damien Ernst, Quentin Louveaux, Bertrand Cornélusse. 2014-01-06. Relaxations for multi-period optimal power flow problems with discrete decision variables. https://arxiv.org/abs/1401.1105

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