Bridging circuits and fields : foundational questions in power theory / Alexander I. Petroianu.

Format:

Book

Author/Creator:

Petroianu, A. (Alexander), 1931- author.

Language:

English

Subjects (All):

Electricity--Mathematics.

Electricity.

Electric power--Mathematical models.

Electric power.

Electromagnetic theory.

Electric circuits--Mathematics.

Electric circuits.

Physical Description:

175 pages : illustrations ; 24 cm

Edition:

1st ed.

Place of Publication:

Boca Raton, Florida ; London, England : CRC Press, 2022.

Summary:

"The book proposes a new paradigm for power theory that can be used in power systems and electrical networks ; the new approach links electromagnetic and circuit theories in a coherent way. Seeing the advances in geometrical optics, quantum mechanics, and geometric algebra, the monograph illustrates that, to paraphrase Heaviside, there is no finality in the development of a vibrant discipline such as power theory"-- Provided by publisher.

Contents:

Cover

Title Page

Copyright Page

Acknowledgements

Preface

Table of Contents

1. Introduction

1. The Subject Matter: Why Does it Matter?

1.1 Author's Motivation

1.2 Reader's Motivation

1.3 What is Electrical Power?

2. Foundational Issues Related to the Concept of Electrical Power

2.1 Ontological Point of View

2.2 Epistemological Point of View

3. Contributions of This Monograph to Power Theory

3.1 Reappraisal and Reformulation of Steinmetz's Symbolic Method

3.2 Reappraisal of Janet's Heuristic Expression S = VI *

3.3 Demonstration of the Mathematical Isomorphism between Steinmetz's Power Expression and Poynting's Expression for Energy Flow

3.4 Reactive Power is as much Power as Active Power

3.5 Apparent Power does have Physical Meaning

3.6 Criticism of the Interpretation of Double-frequency Terms

3.7 Validity of the Instantaneous Power Concept

3.8 Physical Interpretation of Voltage and Current as Inseparable Entities

3.9 Issues Related to Load Flow and State Estimation

4. Research Methodology

5. Literature and References

6. Style

7. Structure

2. Power Theory in Electrical Circuits

2. A Critical Assessment of the Existing Power Paradigm

2.1 Steinmetz's Assumptions Underpinning His Symbolic Method: A Critical Review

2.2 Steinmetz's Symbolic Method: A Disguised Geometric Algebra

2.3 Rigorization of Janet's Expression

3. Conclusion

3. Is the Poynting Theorem the Keystone of a Conceptual Bridge between Classical Electromagnetic Theory and Classical Circuit Theory?

2. Theoretical Debates on the Relevance of the Poynting Theorem for Circuit Theory

2.1 Proponents of the Poynting Theorem as Bridge between Classical Electromagnetic and Circuit Theories.

2.2 Opponents' View: The Poynting Theorem is not the Bridge between Classical Electromagnetic and Circuit Theories

3. Empirical Measurement of the Poynting Vector

4. Conclusion

4. Electromagnetic Power

2. Ontology of Electromagnetic Power Theory

3. Epistemology of the Electromagnetic Power Theory

4. The Main Characteristics of the Electromagnetic Power Theory

5. Geometric Algebra in Electrical Engineering and Power Theory

5.1 Pre-history of Geometric Algebra in Mathematics

5.2 The History of Geometric Algebra in Electrical Engineering

5.3 Applications of Geometric Algebra in Power Theory

5.4 Conclusions from Literature on Geometric Algebra in Power Theory

Appendix

5. Epistemology of Power Theory

2. Mathematical Guises and Disguises of an Elusive Physical Concept: Electrical Power

2.1 Electrical Magnitudes Expressed as Real-valued Functions of Time

Power Equations as Partial Differential Equations: Bedell and Crehore

2.2 Electrical Magnitudes Expressed as Complex-valued and/or Vector-valued Functions: Steinmetz and Janet

2.3 Electrical Magnitudes Expressed as Hypercomplexvalued Functions: Macfarlane and Kennelly

2.4 Heaviside Operational Calculus and the Steinmetz Symbolic Method: Two Types of Mathematical Transformations in Circuit Theory

2.5 The A-C Kalkül: Mathis and Marten

2.6 A Conjecture: Electromagnetic Power as Spacetime Density of Electromagnetic Force in Circuits

3. Power Theory at the Mesoscopic and Subatomic Levels

3.1 Electrons, Positrons, and Photons

4. Power Theory - A Gauge Theory

4.1 Power Theory and the Physics of Condensed Matter

4.2 Power Theory and Quantum Metrology

5. Conclusion

6. Epilogue as Prologue

1. Can We Unify the Concepts of Power in Circuits and Energy-momentum in Electromagnetic Fields?.

2. Is the Current Power Paradigm Still Valid?

4. Hypothesis of a Quantum Electromagnetic Power Theory is Consistent with Quantum Electrodynamics and with the Theory of Restraint Relativity

5. Power Engineering Theory and Practice: Quo Vadis?

Bibliography

Index.

Notes:

Includes bibliographical references and index.

"A Science Publishers book."

ISBN:

9780367711306

OCLC:

1319838190