Dynamic operation of a reservoir system with discontinuous and short-term data

Persistent Link:
http://hdl.handle.net/10150/282798
Title:
Dynamic operation of a reservoir system with discontinuous and short-term data
Author:
Peng, Cheng-shuang, 1963-
Issue Date:
1998
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The objective of this study is to develop a practical mathematical model to determine optimal operating rules for the reservoir system of the West Branch Penobscot River in the State of Maine of the US. This system is composed of five major lakes and it has three objectives. The hydrological data are not available in winter in the upstream four lakes due to freeze and the length of flow data is less than 25 years. Dynamic programming (DP) has been used extensively for solving reservoir operation problems. One major drawback of DP for multiple reservoir operation is the "curse of dimensionality". Many variations of the original DP have been proposed to ease this problem, for example, incremental DP, discrete differential DP, differential DP, gradient DP, and spline DP. Instead of a DP approach, this study proposes using a nonlinear programming (NLP) approach to solve the multi-reservoir system. NLP has been developed extensively in the field of operations research but not yet widely used in reservoir operations. A distinct advantage of using an NLP model is that it can avoid the dimensionality problem because it solves directly the problem without discretizing the decision variables. To use the NLP approach, a real time operation model is specified at first. Then, a multivariate first-order autoregressive model is used to generate a large number of future inflow sequences. The MINOS software package is then used to optimize the problem with each inflow sequence. MINOS can be implemented seemly in the simulation process and can solve the problems without starting values of variables. The number of runs in a simulation is determined by a statistical model, which shows that 500 runs are sufficient. Finally, the expected values and standard deviations of decision variables are tabulated and the distributions of decision variables are plotted. The proposed real time operation model runs once every month. An information-updating scheme is embedded into the simulation and optimization models. For each month, the synthetic streamflows are updated to reflect the most recent hydrological conditions. Besides, the objective function and constraints can be modified if the situation of the system changes.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Hydrology.; Engineering, Environmental.; Operations Research.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Hydrology and Water Resources
Degree Grantor:
University of Arizona
Advisor:
Buras, Nathan

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleDynamic operation of a reservoir system with discontinuous and short-term dataen_US
dc.creatorPeng, Cheng-shuang, 1963-en_US
dc.contributor.authorPeng, Cheng-shuang, 1963-en_US
dc.date.issued1998en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe objective of this study is to develop a practical mathematical model to determine optimal operating rules for the reservoir system of the West Branch Penobscot River in the State of Maine of the US. This system is composed of five major lakes and it has three objectives. The hydrological data are not available in winter in the upstream four lakes due to freeze and the length of flow data is less than 25 years. Dynamic programming (DP) has been used extensively for solving reservoir operation problems. One major drawback of DP for multiple reservoir operation is the "curse of dimensionality". Many variations of the original DP have been proposed to ease this problem, for example, incremental DP, discrete differential DP, differential DP, gradient DP, and spline DP. Instead of a DP approach, this study proposes using a nonlinear programming (NLP) approach to solve the multi-reservoir system. NLP has been developed extensively in the field of operations research but not yet widely used in reservoir operations. A distinct advantage of using an NLP model is that it can avoid the dimensionality problem because it solves directly the problem without discretizing the decision variables. To use the NLP approach, a real time operation model is specified at first. Then, a multivariate first-order autoregressive model is used to generate a large number of future inflow sequences. The MINOS software package is then used to optimize the problem with each inflow sequence. MINOS can be implemented seemly in the simulation process and can solve the problems without starting values of variables. The number of runs in a simulation is determined by a statistical model, which shows that 500 runs are sufficient. Finally, the expected values and standard deviations of decision variables are tabulated and the distributions of decision variables are plotted. The proposed real time operation model runs once every month. An information-updating scheme is embedded into the simulation and optimization models. For each month, the synthetic streamflows are updated to reflect the most recent hydrological conditions. Besides, the objective function and constraints can be modified if the situation of the system changes.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectHydrology.en_US
dc.subjectEngineering, Environmental.en_US
dc.subjectOperations Research.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineHydrology and Water Resourcesen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorBuras, Nathanen_US
dc.identifier.proquest9912102en_US
dc.identifier.bibrecord.b39122992en_US
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