Design of experiments for the stochastic unit commitment with economic dispatch models

Autor: Nahal Sakhavand, Jay Rosenberger, Victoria C.P. Chen, Harsha Gangammanavar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: EURO Journal on Computational Optimization, Vol 12, Iss , Pp 100089- (2024)
Druh dokumentu: article
ISSN: 2192-4406
DOI: 10.1016/j.ejco.2024.100089
Popis: We develop a Design and Analysis of the Computer Experiments (DACE) approach to the stochastic unit commitment problem for power systems with significant renewable integration. For this purpose, we use a two-stage stochastic programming formulation of the stochastic unit commitment-economic dispatch problem. Typically, a sample average approximation of the true problem is solved using a cutting plane method (such as the L-shaped method) or scenario decomposition (such as Progressive Hedging) algorithms. However, when the number of scenarios increases, these solution methods become computationally prohibitive. To address this challenge, we develop a novel DACE approach that exploits the structure of the first-stage unit commitment decision space in a design of experiments, uses features based upon solar generation, and trains a multivariate adaptive regression splines model to approximate the second stage of the stochastic unit commitment-economic dispatch problem. We conduct experiments on two modified IEEE-57 and IEEE-118 test systems and assess the quality of the solutions obtained from both the DACE and the L-shaped methods in a replicated procedure. The results obtained from this approach attest to the significant improvement in the computational performance of the DACE approach over the traditional L-shaped method.
Databáze: Directory of Open Access Journals
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