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Optimal Long-Term Operation of Electric Power Systems

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. Th...

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Bibliographic Details
Main Authors: Christensen, G.S., Soliman, S.A. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 1988, 1988
Edition:1st ed. 1988
Series:Mathematical Concepts and Methods in Science and Engineering
Subjects:
Optimization
Electrical And Electronic Engineering
Electrical Engineering
Mathematical Optimization
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table 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

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