Bridging circuits and fields : foundational questions in power theory /
Alexander I. Petroianu.
Bok Engelsk 2022 A. Petroianu
| Omfang | 175 pages : : illustrations ;
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| Opplysninger | 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. 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.. - 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?.
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| Emner | |
| ISBN | 9780367711306
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