# New Formulations for the Unit Commitment Problem - Optimal Control and Switching-Time Parameterization Approaches

### Luís A. C. Roque, Fernando A.C.C. Fontes, Dalila B.M.M. Fontes

#### Abstract

The Unit Commitment Problem (UCP) is a well-known combinatorial optimization problem in power systems. The main goal in the UCP is to schedule a subset of a given group of electrical power generating units and also to determine their production output in order to meet energy demands at minimum cost. In addition, a set of technological and operational constraints must be satisfied. A large variety of optimization methods addressing the UCP is available in the literature. This panoply of methods includes exact methods (such as dynamic programming, branch-and-bound) and heuristic methods (tabu search, simulated annealing, particle swarm, genetic algorithms). This paper proposes two non-traditional formulations. First, the UCP is formulated as a mixed-integer optimal control problem with both binary-valued control variables and real-valued control variables. Then, the problem is formulated as a switching time dynamic optimization problem involving only real-valued controls.

Download#### Paper Citation

#### in Harvard Style

C. Roque L., Fontes F. and Fontes D. (2017). **New Formulations for the Unit Commitment Problem - Optimal Control and Switching-Time Parameterization Approaches** . In *Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-263-9, pages 326-331. DOI: 10.5220/0006465603260331

#### in Bibtex Style

@conference{icinco17,

author={Luís A. C. Roque and Fernando A.C.C. Fontes and Dalila B.M.M. Fontes},

title={New Formulations for the Unit Commitment Problem - Optimal Control and Switching-Time Parameterization Approaches},

booktitle={Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2017},

pages={326-331},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006465603260331},

isbn={978-989-758-263-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - New Formulations for the Unit Commitment Problem - Optimal Control and Switching-Time Parameterization Approaches

SN - 978-989-758-263-9

AU - C. Roque L.

AU - Fontes F.

AU - Fontes D.

PY - 2017

SP - 326

EP - 331

DO - 10.5220/0006465603260331