References & Citations
Mathematics > Optimization and Control
Title: A novel strong duality-based reformulation for trilevel infrastructure models in energy systems development
(Submitted on 5 Sep 2023 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: We explore the class of trilevel equilibrium problems with a focus on energy-environmental applications and present a novel single-level reformulation for such problems, based on strong duality. To the best of our knowledge, only one alternative single-level reformulation for trilevel problems exists. This reformulation uses a representation of the bottom-level solution set, whereas we propose a reformulation based on strong duality. Our novel reformulation is compared to this existing formulation, discussing both model sizes and computational performance. In particular, we apply this trilevel framework to a power market model, exploring the possibilities of an international policymaker in reducing emissions of the system. Using the proposed methods, we are able to obtain globally optimal solutions for a five-node case study representing the Nordic countries and assess the impact of a carbon tax on the electricity production portfolio.
Submission history
From: Olli Herrala [view email][v1] Tue, 5 Sep 2023 08:21:31 GMT (208kb,D)
[v2] Wed, 27 Mar 2024 09:48:31 GMT (253kb,D)
Link back to: arXiv, form interface, contact.