Local Minima of Quadratic Functionals and Control of Hydro-electric Power Stations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Optimization Theory and Applications Année : 2014

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

Résumé

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.

Dates et versions

hal-01068333 , version 1 (25-09-2014)

Identifiants

Citer

Margarida Ferreira, Ana Filipa Ribeiro, G. V. Smirnov. Local Minima of Quadratic Functionals and Control of Hydro-electric Power Stations. Journal of Optimization Theory and Applications, 2014, ⟨10.1007/s10957-014-0610-y⟩. ⟨hal-01068333⟩

Collections

SADCO TDS-MACS
54 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More