IEEE Transactions on Power Systems · 2006 · 1.7K citations · 33 references
Natural SciencesIndustrial EngineeringOperations ManagementEnergy EconomicsOptimizationSchedulingDiscrete OptimizationInteger ProgrammingLinear ProgrammingInteger Linear ProgrammingInteger Programming ModelsIntertemporal OptimizationMixed-integer Linear ProgrammingMixed-integer OptimizationMixed-integer ProgrammingTime-dependent CostsUnit Commitment
The paper introduces a new mixed‑integer linear formulation for thermal unit commitment. The formulation models time‑dependent startup costs, ramping limits, and minimum up/down times, and is solved efficiently with a commercial MILP solver. The new formulation reduces binary variables and constraints, achieving significant computational savings confirmed by simulation results.
This paper presents a new mixed-integer linear formulation for the unit commitment problem of thermal units. The formulation proposed requires fewer binary variables and constraints than previously reported models, yielding a significant computational saving. Furthermore, the modeling framework provided by the new formulation allows including a precise description of time-dependent startup costs and intertemporal constraints such as ramping limits and minimum up and down times. A commercially available mixed-integer linear programming algorithm has been applied to efficiently solve the unit commitment problem for practical large-scale cases. Simulation results back these conclusions
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Integer and combinatorial optimization
Computers & Mathematics with Applications · 1999 · 1.1K citations