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arXiv · 2109.14272

Computing Necessary Conditions for Near-Optimality in Capacity Expansion Planning Problems

Antoine Dubois·Damien Ernst
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Abstract

In power systems, large-scale optimisation problems are extensively used to plan for capacity expansion at the supra-national level. However, their cost-optimal solutions are often not exploitable by decision-makers who are preferably looking for features of solutions that can accommodate their different requirements. This paper proposes a generic framework for addressing this problem. It is based on the concept of the epsilon-optimal feasible space of a given optimisation problem and the identification of necessary conditions over this space. This framework has been developed in a generic case, and an approach for solving this problem is subsequently described for a specific case where conditions are constrained sums of variables. The approach is tested on a case study about capacity expansion planning of the European electricity network to determine necessary conditions on the minimal investments in transmission, storage and generation capacity.

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Antoine Dubois, Damien Ernst. 2022-05-31. Computing Necessary Conditions for Near-Optimality in Capacity Expansion Planning Problems. https://arxiv.org/abs/2109.14272

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