Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem

By James Ostrowski, Miguel F. Anjos, Anthony Vannelli. IEEE Transactions on Power Systems, 2012

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A State Transition MIP Formulation for the Unit Commitment Problem (2018, methodology): “Below, we give the formulation of ramping restrictions that appeared in [13].”
A Convex Primal Formulation for Convex Hull Pricing (2016, positive): “The convex envelopes in our paper can be used to tighten the formulation of the UCED problem (e.g., the ones proposed in [22] and [31]).”
High-Level Penetration of Renewable Energy Sources Into Grid Utility: Challenges and Solutions (2020, background): “The UC helps to provide optimal schedule of the generation operations in power system [198].”
An overview on mathematical programming approaches for the deterministic unit commitment problem in hydro valleys (2017, background): “Other tighter formulations and polyhedral description of the UC problem can be found in [59,100].”
Tight and Compact MILP Formulation for the Thermal Unit Commitment Problem (2013, methodology): “As stated in [19], the main disadvantage of [21] is that avoiding the startup and shutdown variables hinders the possibility to generate and use strong valid inequalities, such as the minimum up/down time constraints proposed in”