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A Computationally Efficient Mixed-Integer Linear Formulation for the Thermal Unit Commitment Problem

IEEE Transactions on Power Systems · 2006 · Vol. 21(3) · pp. 1371–1378
Miguel CarriónJosé M. Arroyo

Abstract

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

Electric Power System OptimizationSmart Grid Energy ManagementPower System Reliability and MaintenancePower system simulationMathematical optimizationInteger programmingLinear programmingInteger (computer science)Binary numberComputer scienceUnit (ring theory)MathematicsElectric power system
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References
Integer and Combinatorial Optimization
Journal of the Operational Research Society · 1990 · 5,548 citations
A genetic algorithm solution to the unit commitment problem
IEEE Transactions on Power Systems · 1996 · 1,139 citations
Unit Commitment—A Bibliographical Survey
IEEE Transactions on Power Systems · 2004 · 989 citations
Integer and combinatorial optimization
Computers & Mathematics with Applications · 1999 · 1,129 citations
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