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This book deals with a very important problem in power system planning for countries in which hydrogeneration accounts for the greatest part of the system power production. During the past thirty years many techniques have been developed to cope with the long-term operation of hydro reser voirs. These techniques have been discussed in a number of publications, but they have not until now been documented in book form. This book is intended as the foundation for a special graduate course dealing with aspects of electrical engineering, operational research, water resource research, and applied mathematics. It may also be used for self study by practicing personnel involved in the planning and operation of hydroelectric power systems for utilities, consulting groups, and government regulatory agencies. The book consists of eight chapters. Chapter 1 reviews the historical developments in the field, discusses briefly all techniques used to solve the problem, and summarizes the modeling of hydroplants for long-term operation studies. At the end of the chapter we present in detail an outline of the book.
List of contents
1. Introduction.- 1.1. A Historical Survey.- 1.2. Hydro Plant Modeling for Long-Term Operation.- 1.3. Outline of the Book.- 2. Mathematical Optimization Techniques.- 2.1. Introduction.- 2.2. A Review of Matrices.- 2.3. Discrete Variational Calculus.- 2.4. Discrete Maximum Principle.- 2.5. Dynamic Programming.- 2.6. Functional Analysis Optimization Technique.- 3. Long-Term Operation of Reservoirs in Series.- 3.1. Introduction.- 3.2. Problem Formulation.- 3.3. The Problem Solution.- 4. Long-Term Operation of Multichain Power Systems.- 4.1. Introduction.- 4.2. Problem Formulation.- 4.3. The Aggregation Approach (Turgeon Approach).- 4.4. Discrete Maximum Principle.- 4.5. A Minimum Norm Approach, Linear Model.- 4.6. A Minimum Norm Approach, Nonlinear Model.- 5. Modeling and Optimization of a Multireservoir Power System for Critical Water Conditions.- 5.1. Introduction.- 5.2. Problem Formulation.- 5.3. Nonlinear Storage Model.- 5.4. A Discrete Maximum Principle Approach (Linear Model).- 5.5. Optimization of Power System Operation with a Specified Monthly Generation.- 6. Optimization of the Firm Hydro Energy Capability for Hydroelectric Systems.- 6.1. Introduction.- 6.2. Nonlinear Programming Model (Hicks et al. Approach).- 6.3. A Minimum Norm Approach.- 6.4. A Nonlinear Model (Minimum Norm Approach).- 7. Long-Term Optimal Operation of Hydrothermal Power Systems.- 7.1. Introduction.- 7.2. All-Thermal Power Systems.- 7.3. Optimal Scheduling of Hydrothermal Power Systems.- 7.4. Discrete Maximum Principle.- 7.5. Stochastic Nonlinear Programming.- 7.6. Aggregation with Stochastic Dynamic Programming Approach.- 7.7. Aggregation-Decomposition Approach.- 7.8. A Minimum Norm Approach, Linear Storage-Elevation Model.- 7.9. A Minimum Norm Approach, Nonlinear Storage-Elevation Curve.- 7.10. Nuclear, Hydrothermal Power Systems.- 7.11. General Comments.- 8. Conclusion.- 8.1. Summary.- 8.2. Future Work.
