Bridging circuits and fields : foundational questions in power theory

Bridging circuits and fields foundational questions in power theory

Detalles Bibliográficos
Otros Autores: Petroianu, A. 1931- author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boca Raton, Florida ; London, England : CRC Press 2022.
Edición:1st ed
Materias:
Electricity > Mathematics.
Electric power > Mathematical models.
Electromagnetic theory.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009674737906719
Tabla de Contenidos:
  • 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
  • 1. Introduction
  • 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?
  • 1. Introduction
  • 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
  • 1. Introduction
  • 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
  • 1. Introduction
  • 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?
  • 3. Conclusion
  • 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.

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