Multi-objective Non-linear Programming for the Optimal Operation of a Single Reservoir System PDF Download
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Author: Birhanu Mesfin Mengistu
Publisher:
ISBN:
Category : Flood control
Languages : en
Pages : 156
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Book Description
Develops a practical application of a multi-objective non-linear optimization model for the optimal operation of reservior systems, and defines the system parameters and decision variables. Represents hydropower generation, irrigation, and flood protection as expected benefits and components of the multi-objective to be satisfied in an optimal manner. Finds the optimum benefit of the system for a number of scenarios and discusses the results. Emphasizes the difficulties of obtaining a direct solution when more than one objective enters into the model. Tests the model using data from the Folsom Reservoir near Sacramento, California, where maximizing revenue from hydropower and irrigated agricultural production and minimizing storage and power target deviations are desired.
Author: Birhanu Mesfin Mengistu
Publisher:
ISBN:
Category : Flood control
Languages : en
Pages : 156
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Book Description
Develops a practical application of a multi-objective non-linear optimization model for the optimal operation of reservior systems, and defines the system parameters and decision variables. Represents hydropower generation, irrigation, and flood protection as expected benefits and components of the multi-objective to be satisfied in an optimal manner. Finds the optimum benefit of the system for a number of scenarios and discusses the results. Emphasizes the difficulties of obtaining a direct solution when more than one objective enters into the model. Tests the model using data from the Folsom Reservoir near Sacramento, California, where maximizing revenue from hydropower and irrigated agricultural production and minimizing storage and power target deviations are desired.
Author: Ehsan Goodarzi
Publisher: Springer Science & Business Media
ISBN: 3319044001
Category : Technology & Engineering
Languages : en
Pages : 301
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Book Description
This book presents the basics of linear and nonlinear optimization analysis for both single and multi-objective problems in hydrosystem engineering. The book includes several examples with various levels of complexity in different fields of water resources engineering. The examples are solved step by step to assist the reader and to make it easier to understand the concepts. In addition, the latest tools and methods are presented to help students, researchers, engineers and water managers to properly conceptualize and formulate resource allocation problems, and to deal with the complexity of constraints in water demand and available supplies in an appropriate way.
Author: Ralph Allen Wurbs
Publisher:
ISBN:
Category : Reservoirs
Languages : en
Pages : 100
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Book Description
Author: William W-G. Yeh
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 162
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Most of the real world problems in water resources involve nonlinear formulations in their solution construction. Obtaining optimal solutions for large scale nonlinear optimization problems is always a challenging task. The conventional methods, such as linear programming (LP), dynamic programming (DP) and nonlinear programming (NLP) may often face problems in solving them. Recently, there has been an increasing interest in biologically motivated adaptive systems for solving real world optimization problems. The multi-member, stochastic approach followed in Evolutionary Algorithms (EA) makes them less susceptible to getting trapped at local optimal solutions, and they can search easier for global optimal solutions. In this thesis, efficient optimization techniques based on swarm intelligence and evolutionary computation principles have been proposed for single and multi-objective optimization in water resource systems. To overcome the inherent limitations of conventional optimization techniques, meta-heuristic techniques like ant colony optimization (ACO), particle swarm optimization (PSO) and differential evolution (DE) approaches are developed for single and multi-objective optimization. These methods are then applied to few case studies in planning and operation of reservoir systems in India. First a methodology based on ant colony optimization (ACO) principles is investigated for reservoir operation. The utility of the ACO technique for obtaining optimal solutions is explored for large scale nonlinear optimization problems, by solving a reservoir operation problem for monthly operation over a long-time horizon of 36 years. It is found that this methodology relaxes the over-year storage constraints and provides efficient operating policy that can be implemented over a long period of time. By using ACO technique for reservoir operation problems, some of the limitations of traditional nonlinear optimization methods are surmounted and thus the performance of the res.
Author: Rodrigo de Almada Cardoso Proenca de Oliveira
Publisher:
ISBN:
Category :
Languages : en
Pages : 710
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Book Description
Author: Samarjit Kar
Publisher: MDPI
ISBN: 3039211420
Category : Computers
Languages : en
Pages : 394
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Book Description
Optimization is considered as a decision-making process for getting the most out of available resources for the best attainable results. Many real-world problems are multi-objective or multi-attribute problems that naturally involve several competing objectives that need to be optimized simultaneously, while respecting some constraints or involving selection among feasible discrete alternatives. In this Reprint of the Special Issue, 19 research papers co-authored by 88 researchers from 14 different countries explore aspects of multi-objective or multi-attribute modeling and optimization in crisp or uncertain environments by suggesting multiple-attribute decision-making (MADM) and multi-objective decision-making (MODM) approaches. The papers elaborate upon the approaches of state-of-the-art case studies in selected areas of applications related to sustainable development decision aiding in engineering and management, including construction, transportation, infrastructure development, production, and organization management.
Author: Reem Fikri Mohamed Osman Digna
Publisher: CRC Press
ISBN: 1000202879
Category : Science
Languages : en
Pages : 195
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Book Description
The Eastern Nile riparian countries Egypt, Ethiopia and Sudan are currently developing several reservoir projects to contribute to the needs for energy and food production in the region. The Nile Basin, particularly the Eastern Nile Sub-basin, is considered one of a few international river systems with potential conflicts between riparian countries. In the absence of formal mechanisms for collaboration, the transboundary nature of this basin makes sound water resources development challenging. The large seasonal and inter-annual variability of the river flow exacerbates those challenges. A further complication is the high sediment load in the Eastern Nile rivers during the high flow season. This study contributes to fill relevant knowledge gaps through a better understanding of the methods needed for a complex system of multipurpose reservoirs, considering both water quantity and sediment load. The study quantifies the impacts of water resources development in the Eastern Nile basin and identifies system management options at both regional and country level. Developing a collaborative and unified perspective of the countries towards new projects can be beneficial for all. New operation rules are proposed for improving operation of the current system when new infrastructures are developed and operated either unilaterally or, ideally, cooperatively.
Author: Parnian Hosseini
Publisher:
ISBN:
Category : Franklin D. Roosevelt Lake (Wash.)
Languages : en
Pages : 88
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Book Description
Optimization of reservoir operation is involves various competing objectives for a scarce resource (water). To find the optimal operation of reservoirs, it is essential to consider multiple objectives simultaneously. There are various sources of uncertainty associated with the reservoir operation problem that should be considered as well. The overarching goal of this research is to develop a framework for finding flexible and reliable solutions to the reservoir operation problem with competing objectives. Because some sources of uncertainty are not well quantified, providing flexible decision variables lets the decision maker choose accordingly from a range of options knowing that all the flexible decision variables are feasible with a specified probability of failure and that are relatively optimal. To accomplish this goal, each flexible decision variable is represented by a random variable within a specific range instead of a single deterministic decision variable. An additional objective is added to the optimization problem, in order to maximize the flexibility of decision variables. The proposed methodology is tested for two mathematical test problems and the operation of the Grand Coulee reservoir, which is located on the Columbia River in the Northwestern United States. The Stochastic Collocation (SC) method is used to sample the random variables and approximate the expected values of the objectives. For the Grand Coulee reservoir, the decision variables are the daily turbine outflows. The first objective of the optimization is to minimize the forebay elevation deviation at the end of the optimization period. The second objective is to maximize the revenue from the hydropower production. The results show that the proposed methodology could find some flexible decision variables with 45% coefficient of variation. The corresponding expected objectives have less than 20% deterioration from the deterministic Pareto solutions. However, the number of function evaluations increases exponentially with the number of decision variables. Therefore, this methodology is suggested for problems with a few decision variables. For finding flexible decision variables in problems with many decision variables, a dimension reduction method called Karhunen Loeve (KL) expansion is implemented in the optimization problem. By extracting useful information from the decision variables, the decision space can be represented with merely a few random variables using a set of deterministic decision variables. The results show that three random variables are sufficient to generate decision variable realizations which have mean and variance less than 1% and 5% different from the original decision variable realizations, respectively. The proposed methodology is capable of efficiently finding flexible decision variables that lead to expected objective values close to the Pareto deterministic solutions. To force the generated decision variable realizations to stay within the feasible bounds and therefore reduce the number of constraints that need to be checked, the data is transformed to be within bounds first, and then the KL-expansion is performed. Using the transformed data decreases the computational time but the decrease in computational time is not significant. The inflow uncertainty is also considered as the only source of input uncertainty. Forecast inflow ensembles can be used as the source of inflow uncertainty. However in this study due to lack of information, historical inflows are used instead. The inflow uncertainties are represented using the KL-expansion. Robust optimization is performed by optimizing the weighted sum of the expectation and standard deviation of the objective due to uncertain inflows. The weights in the robust objective formulation can be changed based on the decision maker’s preference of robustness versus performance. Finally, the combined framework to find robust and flexible decision variables is tested on a reservoir operation problem and the results were compared to the deterministic case.
Author: Sham Sunder Luthra
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
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Book Description
