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Optimal Economic Operation of Electric Power Systems by M. E. El-Hawary and G. S. Christensen
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Optimal Economic Operation of Electric Power Systems by M. E. El-Hawary and G. S. Christensen

Main Contents of Optimal Economic Operation of Electric Power Systems eBook

- Chapter 1. Introduction.

- Chapter 2. Modeling for Optimal Operation.

- Chapter 3. Mathematical Optimization Techniques.

- Chapter 4. All-Thermal Power Systems.

- Chapter 5. Power Systems with Hydro Plants Not on the Same Stream.

- Chapter 6. Power Systems with Coupled Hydro Plants.

- Chapter 7. Optimal Hydro-Thermal Load Flow and Realistic Models.

- Chapter 8. Conclusions.

Preface to Optimal Economic Operation of Electric Power Systems eBook

This Optimal Economic Operation of Electric Power Systems book treats problems of optimal operation in electric power systems. One of our purposes is to introduce and review a wide range of problems and algorithms in this area.

The second is to underline the importance of certain developments in mathematical optinlization and computational techniques and their influence on the field of power systems engineering.

Recently developed optimal strategies for a wide class of problems are stressed. These rely on the minimum norm approach within the framework of functional analytic optimization methods.

Our audience consists mainly of graduate engineers and applied scientists concerned with the applications of mathematical techniques to large scale systems.

The Optimal Economic Operation of Electric Power Systems book will be of particular interest to utility engineers involved in planning the operation of electric power systems.

Parts of the Optimal Economic Operation of Electric Power Systems book may be adopted for a senior or graduate course in electric power systems engineering or optimal control applications.

Chapter I reviews briefly the historical developments in the field. The influence of powerful mathematical optimization and computational tools on the advances made in the subject is emphasized.

Modeling of various parts of the electric power system for optimal operation studies is presented in Chapter 2. Here we first discuss energy source models.

The representation of the performance and operating constraints of thermal and hydro plants is outlined. This is followed by a review of models of the electric network components.

Emphasis is given to models adequate for the complexity of the problem. Various approaches to electric and hydro network overall modeling are then presented.

Optimality criteria are introduced and their ramifications discussed. Chapter 3 addresses certain mathematical optimization and computational techniques and concepts that are the basis of many successful results in optimal operation of power systems.

We review briefly some but not all of the techniques. Results from variational calculus, dynamic programming, and the maximum principle are offered.

Recent results obtained by the authors are based on the powerful minimum norm approach, which is also reviewed in this chapter.

A basic problem in optimal operation of power systems involves an allthermal system. This is the subject of Chapter 4.

Classical results pertaining to a system whose electric network is modeled by the active power balance equation are given.

This leads to the recently developed optimal load flow problem whereby the exact electric network model is considered in the formulation.

The inclusion of hydro plants of a system in the formulation is considered next. We treat the case of systems with hydraulically uncoupled plants in Chapter 5.

A problem involving fixed-head hydro plants is dealt with first. Three approaches are discussed: the classical approach involving variational calculus principles, the dynamic programming approach, and a minimum norm approach.

A similar treatment of the case of variable-head hydro plants is given. In Chapter 6 formulations involving coupled hydro plants in the system are considered.

An approach based on the maximum principle is illustrated, followed by minimum norm approach solutions to two system problems involving coupled plants, that is, systems with plants on the same stream and systems with multiple chains of hydro plants.

A computational example of an actual solution leading to an optimal operational strategy implementation is given.

Chapter 7 is devoted to the optimal hydro-thermal load flow problem. Here we discuss the cases of fixed-head hydro plants, multichains of hydro plants when the electric network is represented by the load flow equations, and the more realistic models of trapezoidal reservoirs and variable efficiency.

The final chapter is a concluding one in which we summarize the results obtained and offer suggestions for future work in the field.

Each chapter in this Optimal Economic Operation of Electric Power Systems book is concluded by a Comments and References section, where the reader’s attention is directed to further readings and the merits of the various approaches are discussed.

Each of Chapters 4-7 has been designed such that it can be studied independently of the others once the prerequisite relevant material from Chapters 2 and 3 has been covered.

The work reported in this Optimal Economic Operation of Electric Power Systems book is an outgrowth of several years of research and teaching in this area.

Some of the work has been class tested on many occasions in senior-undergraduate, graduate, and continuing education courses taught both in Canada and Brazil.

Acknowledgments from Optimal Economic Operation of Electric Power Systems eBook Author

During the planning and writing of the Optimal Economic Operation of Electric Power Systems book, we have incurred indebtedness to many people. We wish to acknowledge continuing encouragement received from Dr. R. T. Dempster,

Dean of Faculty of Engineering and Applied Science at the Memorial University of Newfoundland and Dr. C. R. James, Head of the Department of Electrical Engineering at the University of Alberta.

We are grateful to our many friends and colleagues for fruitful discussions and, in paticular, to Dr. H. Dommel of the University of British Columbia, Dr. D. H. Kelly of the University of Alberta,

and Dr. W. J. Vetter of Memorial University of Newfoundland. One of the authors (M.E.H.) wishes to acknowledge the assistance of Messrs. H. G. French and S. Y. Mansour

who made numerous suggestions for improvements. We wish to express our thanks to Mrs. Minnie Ewing for a neatly done job in typing many drafts of the manuscript.

This work would not have been possible without the patience and understanding of our wives, Fenal El-Hawary and Dr. Penelope Christensen.

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