Hybrid Quantum-Classical General Benders Decomposition Algorithm for Unit Commitment with Multiple Networked Microgrids

• URL: http://arxiv.org/abs/2210.06678v1
• Date: Thu, 13 Oct 2022 02:26:27 GMT
• Title: Hybrid Quantum-Classical General Benders Decomposition Algorithm for Unit Commitment with Multiple Networked Microgrids
• Authors: Fang Gao, Dejian Huang, Ziwei Zhao, Wei Dai, Mingyu Yang, Feng Shuang
• Abstract summary: Unit commitment with multiple networked microgrids (UCMNM) is a typical mixed-integer nonlinear programming problem. We introduce quantum computing in Generalized Benders decomposition algorithm (GBDA) framework. For privacy-preserving and independent decision-making, HQC-GBDA decomposes the UCMNM problem into a master problem and a series of sub-problems.
• Score: 5.6035987109587895
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Unit commitment with multiple networked microgrids (UCMNM) is a typical mixed-integer nonlinear programming problem. It requires coordination between the local utility grid and the microgrids. We introduce quantum computing in Generalized Benders decomposition algorithm (GBDA) framework and propose a hybrid distributed decomposition algorithm in this work, named as hybrid quantum-classical generalized Benders decomposition algorithm (HQC-GBDA). For privacy-preserving and independent decision-making, HQC-GBDA decomposes the UCMNM problem into a master problem and a series of sub-problems. The NP-Hard master problem with discrete variables can be transformed into the quadratic unconstrained binary optimization (QUBO) problem, which can be settled by the quantum annealing algorithm. The main contributions of this work include: 1) Based on GBDA, we propose a multi-cut generalized Benders decomposition algorithm (MC-GBDA), which adds the Benders feasibility cutting planes to the master problem more efficiently; 2) In HQC-GBDA, we reconstruct the NP-Hard master problem into the QUBO problem, which is suitable to be solved by quantum computing and further reduce the complexity of the master problem; 3) We use the D-WAVE quantum annealing machine to solve the QUBO problem of HQC-GBDA and find that HQC-GBDA is faster than its classical counterpart MC-GBDA when dealing with more complex UCMNM problems.

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