Grid Cost Allocation in Peer-to-Peer Electricity Markets: Benchmarking Classical and Quantum Optimization Approaches

Fuente: arXiv
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Autori principali: Bucher, David, Porawski, Daniel, Wimmer, Benedikt, Nüßlein, Jonas, O'Meara, Corey, Cortiana, Giorgio, Linnhoff-Popien, Claudia
Natura: Preprint
Pubblicazione: 2025
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author Bucher, David
Porawski, Daniel
Wimmer, Benedikt
Nüßlein, Jonas
O'Meara, Corey
Cortiana, Giorgio
Linnhoff-Popien, Claudia
author_facet Bucher, David
Porawski, Daniel
Wimmer, Benedikt
Nüßlein, Jonas
O'Meara, Corey
Cortiana, Giorgio
Linnhoff-Popien, Claudia
contents This paper presents a novel optimization approach for allocating grid operation costs in Peer-to-Peer (P2P) electricity markets using Quantum Computing (QC). We develop a Quadratic Unconstrained Binary Optimization (QUBO) model that matches logical power flows between producer-consumer pairs with the physical power flow to distribute grid usage costs fairly. The model is evaluated on IEEE test cases with up to 57 nodes, comparing Quantum Annealing (QA), hybrid quantum-classical algorithms, and classical optimization approaches. Our results show that while the model effectively allocates grid operation costs, QA performs poorly in comparison despite extensive hyperparameter optimization. The classical branch-and-cut method outperforms all solvers, including classical heuristics, and shows the most advantageous scaling behavior. The findings may suggest that binary least-squares optimization problems may not be suitable candidates for near-term quantum utility.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05253
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Grid Cost Allocation in Peer-to-Peer Electricity Markets: Benchmarking Classical and Quantum Optimization Approaches
Bucher, David
Porawski, Daniel
Wimmer, Benedikt
Nüßlein, Jonas
O'Meara, Corey
Cortiana, Giorgio
Linnhoff-Popien, Claudia
Quantum Physics
This paper presents a novel optimization approach for allocating grid operation costs in Peer-to-Peer (P2P) electricity markets using Quantum Computing (QC). We develop a Quadratic Unconstrained Binary Optimization (QUBO) model that matches logical power flows between producer-consumer pairs with the physical power flow to distribute grid usage costs fairly. The model is evaluated on IEEE test cases with up to 57 nodes, comparing Quantum Annealing (QA), hybrid quantum-classical algorithms, and classical optimization approaches. Our results show that while the model effectively allocates grid operation costs, QA performs poorly in comparison despite extensive hyperparameter optimization. The classical branch-and-cut method outperforms all solvers, including classical heuristics, and shows the most advantageous scaling behavior. The findings may suggest that binary least-squares optimization problems may not be suitable candidates for near-term quantum utility.
title Grid Cost Allocation in Peer-to-Peer Electricity Markets: Benchmarking Classical and Quantum Optimization Approaches
topic Quantum Physics
url https://arxiv.org/abs/2501.05253