Modelling and optimization of parallel reservoirs having nonlinear storage curves under critical water conditions for long-term regulation
type: Item
instance of: scholarly article
title: Modelling and optimization of parallel reservoirs having nonlinear storage curves under critical water conditions for long-term regulation
zbMATH Open document ID: 0618.93048
DOI: 10.1007/BF00941174
author: G. S. Christensen
author: S. A. Soliman
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: This paper deals with the problem of parallel reservoirs having nonlinear storage-elevation curves (quadratic functions) for long term regulation under critical water conditions using the minimum norm formulation. To overcome these nonlinearities, we introduce a set of pseudo-state variables. A set of optimizing equations is obtained. The proposed method is efficient in computing time and in calculating the expected benefits of generation from the system during the critical period. Numerical results are reported for a real system in operation consisting of two rivers; each river has two reservoirs in series.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 49M27
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 4004025
zbMATH Keywords: parallel reservoirs
zbMATH Keywords: nonlinear storage-elevation curves
zbMATH Keywords: long term regulation
zbMATH Keywords: critical water conditions
zbMATH Keywords: minimum norm
zbMATH Keywords: pseudo-state variables
MaRDI profile type: Publication
cites work: Optimal operation of multireservoir power systems
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full work available at URL: https://doi.org/10.1007/bf00941174
OpenAlex ID: W2088347866
description: scientific article; zbMATH DE number 4004025