Optimal Power Flow Under Uncertainty

This is a summary of the work that can be found in [1].

Abstract

The optimal power flow (OPF) is one of the fundamental mathematical tools currently used for the operation of power systems. Under certain assumptions, the power flow equations can be linearized using the power transfer distribution factors (PTDF), leading to the so-called DC-OPF. Initially formulated as a deterministic problem, the DC-OPF problem has been reformulated to take into account that some of the input parameters are uncertain. In this article, we present different DC-OPF formulations to determine the optimal power dispatch of generating units under an uncertain electricity demand. We formulate the problem using robust programming, stochastic programming, and chance-constrained programming.

Citation

If you would like to cite this work, please use the following citation:

Concepción Domínguez, Álvaro Porras, Salvador Pineda, Juan Miguel Morales, Optimal power flow under uncertainty in Encyclopedia of Electrical and Electronic Power Engineering, ISBN: 9780128232118 pp. 765-776. Editor: Jorge García, Elsevier, 2023.

You can use this bibtex entry:

@ARTICLE{DOMINGUEZ2023765,
author={{Concepción Domínguez and Álvaro Porras and Salvador Pineda and Juan Miguel Morales}},
editor = {Jorge García},
booktitle={Encyclopedia of Electrical and Electronic Power Engineering},
publisher = {Elsevier},
title={Optimal power flow under uncertainty},
year={2023},
volume={-},
number={-},
pages={765-776},
doi={https://doi.org/10.1016/B978-0-12-821204-2.00107-0}}
ISBN={978-0-12-823211-8},}