Int. J. Simul. Multidisci. Des. Optim.
Volume 3, Number 2, April 2009
|Page(s)||326 - 331|
|Published online||24 June 2009|
Influence of the elevation-storage curve in the optimization of hydroplants
EUITI, Department of Mathematics, University of Oviedo, Campus of Viesques, 33203 Gijón, Spain
Corresponding author: email@example.com
Accepted: 5 September 2008
One of the most important physical characteristics of a reservoir is the elevation-storage curve. In most cases, linear simplification is applied to this curve, which is approximated as a linear relationship. However, this simplification can produce serious errors in the optimal solution. In this paper we consider a non-linear elevation-storage curve to be applied to the reservoir and therefore consider a non-linear problem. To obtain the optimal solution, the problem is formulated within the framework of optimal control theory using Pontryagin's Maximum Principle. The advantage of this technique with respect to previous methods lies in the possibility of obtaining theoretical results whose implementation (and computational complexity) is feasible regardless of the non-linear characteristics of the problem. Results of the application of the method to a numerical example are presented and we show the differences between the two approaches.
Key words: Hydro-plant / Optimal Control / Elevation-Storage Curve / Pontryagin's Maximum Principle
© ASMDO, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.