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arXiv · 1801.07218

Global Solution Strategies for the Network-Constrained Unit Commitment Problem with AC Transmission Constraints

Jianfeng Liu·Anya Castillo·Jean-Paul Watson·Carl D. Laird
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Abstract

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming (MINLP) problem. Our algorithm is based on the multi-tree global optimization methodology, which iterates between a mixed-integer lower-bounding problem and a nonlinear upper-bounding problem. We exploit the mathematical structure of the unit commitment problem with AC power flow constraints (UC-AC) and leverage optimization-based bounds tightening, second-order cone relaxations, and piecewise outer approximations to guarantee a globally optimal solution at convergence. Numerical results on four benchmark problems illustrate the effectiveness of our algorithm, both in terms of convergence rate and solution quality.

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Jianfeng Liu, Anya Castillo, Jean-Paul Watson, Carl D. Laird. 2018-01-22. Global Solution Strategies for the Network-Constrained Unit Commitment Problem with AC Transmission Constraints. https://doi.org/10.1109/tpwrs.2018.2876127

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