Journal
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
Volume 134, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.ijepes.2021.107364
Keywords
Conic relaxation; Convex programming; Unit commitment
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Funding
- U.S. Department of Energy Advanced Grid Modeling Program [DE-OE0000875]
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An effective three-step solution approach is proposed to address the AC network-constrained unit commitment problem, including DC approximation, second-order conic relaxation, and continuous convex optimization to ensure full AC feasibility, which is validated using test systems with multiple generators and transmission lines.
To address the AC network-constrained unit commitment problem, we propose an effective three-step solution approach. We first solve a DC (mixed-integer linear) approximation of the original problem to identify an initial solution and the set of transmission lines likely to be congested. Secondly, with the linear solution as a starting point, we solve a mixed-integer second-order conic relaxation of the original problem using an active set strategy regarding transmission constraints. Finally, using the solution of the relaxed problem as a starting point, we solve a set of increasingly accurate continuous convex optimization problems to ensure full AC feasibility. We show the effectiveness of the proposed approach using the IEEE 24-bus test system and an Illinois 200-bus system with 49 generators and 245 lines.
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