Optimization of reservoirs in series on a river with a nonlinear storage curve for long-term regulation
type: Item
instance of: scholarly article
title: Optimization of reservoirs in series on a river with a nonlinear storage curve for long-term regulation
zbMATH Open document ID: 0624.93048
DOI: 10.1007/BF00939773
author: S. A. Soliman
author: G. S. Christensen
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We present a new approach to finding the monthly optimal operation of a multireservoir power system connected in series on a river. The hydroelectric power generation is a highly nonlinear function of the storage, and the conversion factor assigned to each power plant is also a nonlinear function of the storage. We use for both a quadratic function of the storage; the resulting problem has a highly nonlinear objective function and linear constraints. We propose a transformation such that the system equations are reduced to linear-quadratic form. Lagrange and Kuhn-Tucker multipliers are used to adjoin the equality and inequality constraints to the objective function. Numerical results are presented for a real system in operation consisting of two reservoirs in series on a river for widely different water conditions.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4014566
zbMATH Keywords: multireservoir power system connected in series
zbMATH Keywords: nonlinear objective function
zbMATH Keywords: linear constraints
zbMATH Keywords: Lagrange and Kuhn-Tucker multipliers
zbMATH Keywords: minimum norm problem
MaRDI profile type: Publication
cites work: Optimal operation of multireservoir power systems
cites work: Modelling and optimization of reservoirs for long-term regulation with variable head using functional analysis
cites work: A transformation for necessary optimality conditions for systems with polynomial nonlinearities
full work available at URL: https://doi.org/10.1007/bf00939773
OpenAlex ID: W1975112144
description: scientific article; zbMATH DE number 4014566