Bayón Arnáu, L.; Suárez Rodríguez, P. Multiple objective optimization of hydro-thermal systems using Ritz’s method. (English) Zbl 0948.65059 Math. Probl. Eng. 5, No. 5, 379-396 (2000). Using the Ritz method the authors propose an algorithm to minimize an objective function that incorporates the cost of energy losses, the conventional fuel cost and the production of atmospheric emissions such as \(\text{NO}_x\) and \(\text{CO}_2\) caused by the operation of fossil-fueled thermal generation. The formulation includes a general layout of hydro-plants that may form multi-chains of a reservoir network. Time-delays are included and the electric network is considered by using the active power balance equation. The volume of water discharge for each hydro-plant is a given constant amount from the optimization interval. Reviewer: Stefan Mititelu (Bucureşti) Cited in 2 Documents MSC: 65K05 Numerical mathematical programming methods 90C29 Multi-objective and goal programming 86A10 Meteorology and atmospheric physics 76Z10 Biopropulsion in water and in air 90C30 Nonlinear programming 80A20 Heat and mass transfer, heat flow (MSC2010) 92D40 Ecology Keywords:multiple objective optimization; hydro-thermal systems; Ritz method; algorithm; atmospheric emissions; fossil-fueled thermal generation; reservoir network; power balance equation PDFBibTeX XMLCite \textit{L. Bayón Arnáu} and \textit{P. Suárez Rodríguez}, Math. Probl. Eng. 5, No. 5, 379--396 (2000; Zbl 0948.65059) Full Text: DOI