Journal ArticleDOI
Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem
TLDR
In this article, the authors examined the polytope of feasible power generation schedules in the unit commitment (UC) problem and provided computational results comparing formulations for the UC problem commonly found in the literature.Abstract:
This paper examines the polytope of feasible power generation schedules in the unit commitment (UC) problem. We provide computational results comparing formulations for the UC problem commonly found in the literature. We introduce a new class of inequalities, giving a tighter description of feasible operating schedules for generators. Computational results show that these inequalities can significantly reduce overall solution times.read more
Citations
More filters
Journal ArticleDOI
Tight and Compact MILP Formulation for the Thermal Unit Commitment Problem
TL;DR: In this article, a mixed-integer linear programming (MILP) reformulation of the thermal unit commitment (UC) problem is presented, which is simultaneously tight and compact.
Journal ArticleDOI
Offering model for a virtual power plant based on stochastic programming
TL;DR: In this article, the authors considered a virtual power plant consisting of an intermittent source, a storage facility, and a dispatchable power plant, and casted the offering problem as a two-stage stochastic mixed-integer linear programming model.
Journal ArticleDOI
Optimal scheduling of industrial combined heat and power plants under time-sensitive electricity prices
TL;DR: In this article, a generalized mode model for combined heat and power (CHP) plants is presented, which can account for different operating modes, e.g. fuel switching for boilers and supplementary firing for gas turbines, and transitional behavior.
Journal ArticleDOI
Multistage Adaptive Robust Optimization for the Unit Commitment Problem.
TL;DR: The proposed multistage robust UC model takes into account the time causality of the hourly unfolding of uncertainty in the power system operation process, and can significantly outperform the deterministic UC and existing two-stage robust UC models in both operational cost and system reliability.
Journal ArticleDOI
Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment
TL;DR: In this article, a mixed-integer linear programming (MILP) formulation of start-up and shut-down power trajectories of thermal units is presented, which significantly reduces the computational burden in comparison with others commonly found in the literature.
References
More filters
Book
Integer and Combinatorial Optimization
TL;DR: This chapter discusses the Scope of Integer and Combinatorial Optimization, as well as applications of Special-Purpose Algorithms and Matching.
Journal ArticleDOI
A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem
Miguel Carrión,Jose M. Arroyo +1 more
TL;DR: In this paper, a new mixed-integer linear formulation for the unit commitment problem of thermal units is presented, which requires fewer binary variables and constraints than previously reported models, yielding a significant computational saving.
Journal ArticleDOI
A stochastic model for the unit commitment problem
TL;DR: In this article, the authors developed a model and a solution technique for the problem of generating electric power when demands are not certain, and provided techniques for improving the current methods used in solving the traditional unit commitment problem.
Journal ArticleDOI
Optimal Transmission Switching
TL;DR: In this article, the problem of finding an optimal generation dispatch and transmission topology to meet a specific inflexible load was formulated as a mixed-integer linear program, which employs binary variables to represent the state of the equipment and linear relationships to describe the physical system.
Journal ArticleDOI
Optimal response of a thermal unit to an electricity spot market
Jose M. Arroyo,Antonio J. Conejo +1 more
TL;DR: In this paper, the optimal response of a thermal unit to an electricity spot market is addressed, where the objective is to maximize the unit profit from selling both energy and spinning reserve in the spot market.
Related Papers (5)
A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem
Miguel Carrión,Jose M. Arroyo +1 more
Optimal response of a thermal unit to an electricity spot market
Jose M. Arroyo,Antonio J. Conejo +1 more