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May 29, 2026Journal of Mathematics in Industry1 citationsOpen Access

Quantum annealing for joint chance-constrained unit commitment

DMDavid Ribes MarzáNorwegian University of Science and TechnologyTGTatiana González GrandónNorwegian University of Science and Technology

Key Points

  • This research aims to assess the use of quantum annealing for addressing the chance-constrained unit commitment problem in power systems.
  • Reformulated the chance-constrained unit commitment as a mixed-integer linear program.
  • Utilized D-Wave's hybrid quantum-classical solver and compared it with Gurobi.
  • Tested QUBO reformulations while addressing limitations of current quantum annealers.
  • Hybrid solver showed competitive performance on large scenario sets (15,000 scenarios) under strict runtime limits.
  • Gurobi outperformed the quantum solver for smaller scenario cases.
  • Current quantum annealers exhibit limitations for stochastic UCPs due to hardware restrictions.

Abstract

Abstract Uncertainty is fundamental in modern power systems, where renewable generation and fluctuating demand make stochastic optimization indispensable. In stochastic optimization, chance constraints enable the representation of uncertainty in renewable energy sources that affect the dispatch and commitment of bulk generation. This is commonly known as the chance-constrained unit commitment problem (UCP), which rapidly becomes computationally challenging as the number of scenarios grows. Quantum computing has been proposed as a potential route to overcome such scaling barriers. In this work, we evaluate the applicability of quantum annealing platforms to the chance-constrained UCP. Focusing on a scenario approximation, we reformulate the problem as a mixed-integer linear program (MILP) and solve it using D-Wave’s hybrid quantum–classical solver alongside the classical solver Gurobi. The hybrid solver proves competitive under strict runtime limits for large scenario sets (15,000 in our experiments), while Gurobi remains superior on smaller cases. QUBO reformulations have also been tested, but current annealers cannot accommodate stochastic UCPs due to hardware limits, and deterministic cases suffer from embedding overhead. Our study delineates where chance-constrained UCPs can already be addressed with hybrid quantum–classical methods, and where current quantum annealers remain fundamentally limited.

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Cite This Study

Ribes Marzá et al. (2026) studied this question.

synapsesocial.com/papers/6a192e79fab5b468c4417a71https://doi.org/10.1186/s13362-026-00181-8
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