Local Minima of Quadratic Functionals and Control of Hydro-electric Power Stations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

M.M.A. Ferreira (Autor) FEUP; A.F. Ribeiro (Autor) Outra; G.V. Smirnov (Autor) Outra

Revista

Título: Journal of Optimization Theory and Applications

Vol. 165

Páginas: 985-1005

ISSN: 0022-3239

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 3 Citações

Outras Informações

ID Authenticus: P-00G-432

DOI: 10.1007/s10957-014-0610-y

Abstract (EN): We consider a control problem for a cascade of hydro-electric power stations, where some of the stations have reversible turbines. Our aim was to optimize the profit of power production satisfying restrictions on the water level in the reservoirs. From the mathematical point of view, this consists in minimizing an infinite-dimensional quadratic functional subject to cone constraints. Sufficient conditions of optimality for the abstract problem are derived and are then specialized for our problem. Noteworthy, the restrictions imposed on the power stations problem are in the form of control constraints and pure state constraints. The particular case of one power station is analyzed in detail, showing that reversible turbines always improve the profit.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21