Improving Accuracy and Efficiency of Start-up Cost Formulations in MIP Unit Commitment by Modeling Power Plant Temperatures

2014/08/12 by Matthias Silbernagl, Matthías Huber, Silbernagl, Matthias +4
Engineering · Mathematics · #Electric Power System Optimization #Optimal Power Flow Distribution #Smart Grid Energy Management #math.OC

paper · pdf · doi:10.48550/arxiv.1408.2644

9 pages, 5 figures, 1 table, data sets

arxiv created 2015/06/26 · arxiv updated 2015/06/29

Abstract

This paper presents an improved mixed-integer model for the Thermal Unit Commitment Problem. By introducing new variables for the temperature of each thermal unit, the off-time-dependent start-up costs are modeled accurately and with a lower integrality gap than state-of-the-art formulations. This new approach significantly improves computational efficiency compared to existing formulations, even if they only model a rough approximation of the start-up costs. Our findings were validated on real-world test cases using CPLEX.

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