1981
DOI: 10.1002/oca.4660020404
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Long‐term optimization of hydro‐thermal power systems by generalized Conjugate‐Gradient Methods

Abstract: The optimal management of hydro storage reservoirs is considered. The objective is to minimize thermal power station fuel costs, over a horizon of one or more years, in a mixed hydro-thermal power system. A model of the New Zealand system is developed that is simple enough for computational purposes but nevertheless accounts for all major factors including load diversity and transmission losses. A version of Powell's generalized conjugate-gradient algorithm with Beale restarts is used for the optimization. Sta… Show more

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Cited by 4 publications
(2 citation statements)
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“…Methodologies based on Pontryagin's Maximum Principle are used for solving the scheduling problem of hydroelectric power plant chain (Sakr and Dorrah, 1985), for solving the problem of the most economical operation of hydraulic plants in electric power systems (Hano et al, 1966), for determining the operation of a hydro-steam generating system for the minimum generating costs (Dahlin and Shen, 1966), and for the optimal control of water supply networks (Nielsen and Ravn, 1985). Conjugate gradient algorithms are used for the optimal management of hydrostorage reservoirs (Sirisena and Halliburton, 1981), and for the optimal control of the complex multireservoir Mahaweli system in Sri Lanka (Mizyed et al, 1992). In (Chu and Yeh, 1978) for the optimization of real-time operations for a single reservoir system, nonlinear duality theorems and Lagrangian procedures are applied, whereby the minimization of Lagrangian is carried out by a modified gradient projection technique along with an optimal stepwise determination technique, while in (Saha and Khaparde, 1978) the optimal scheduling of hydrothermal power systems is performed by a feasible direction algorithm.…”
Section: Bibliographic Referencesmentioning
confidence: 99%
“…Methodologies based on Pontryagin's Maximum Principle are used for solving the scheduling problem of hydroelectric power plant chain (Sakr and Dorrah, 1985), for solving the problem of the most economical operation of hydraulic plants in electric power systems (Hano et al, 1966), for determining the operation of a hydro-steam generating system for the minimum generating costs (Dahlin and Shen, 1966), and for the optimal control of water supply networks (Nielsen and Ravn, 1985). Conjugate gradient algorithms are used for the optimal management of hydrostorage reservoirs (Sirisena and Halliburton, 1981), and for the optimal control of the complex multireservoir Mahaweli system in Sri Lanka (Mizyed et al, 1992). In (Chu and Yeh, 1978) for the optimization of real-time operations for a single reservoir system, nonlinear duality theorems and Lagrangian procedures are applied, whereby the minimization of Lagrangian is carried out by a modified gradient projection technique along with an optimal stepwise determination technique, while in (Saha and Khaparde, 1978) the optimal scheduling of hydrothermal power systems is performed by a feasible direction algorithm.…”
Section: Bibliographic Referencesmentioning
confidence: 99%
“…Methodologies based on Pontryagin's Maximum Principle are used for solving the scheduling problem of hydroelectric power plant chain (Sakr and Dorrah, 1985), for solving the problem of the most economical operation of hydraulic plants in electric power systems (Hano et al, 1966), for determining the operation of a hydro-steam generating system for the minimum generating costs (Dahlin and Shen, 1966), and for the optimal control of water supply networks (Nielsen and Ravn, 1985). Conjugate gradient algorithms are used for the optimal management of hydrostorage reservoirs (Sirisena and Halliburton, 1981), and for the optimal control of the complex multireservoir Mahaweli system in Sri Lanka (Mizyed et al, 1992). In (Chu and Yeh, 1978) for the optimization of real-time operations for a single reservoir system, nonlinear duality theorems and Lagrangian procedures are applied, whereby the minimization of Lagrangian is carried out by a modified gradient projection technique along with an optimal stepwise determination technique, while in (Saha and Khaparde, 1978) the optimal scheduling of hydrothermal power systems is performed by a feasible direction algorithm.…”
Section: Bibliographic Referencesmentioning
confidence: 99%