Bridging Circuits and Fields

£56.99

Bridging Circuits and Fields

Foundational Questions in Power Theory

Applied mathematics Mathematical physics Energy, power generation, distribution and storage Electronics: circuits and components

Author: Alexander I. Petroianu

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Language: English

Published by: CRC Press

Published on: 29th November 2021

Format: LCP-protected ePub

Size: 1 Mb

ISBN: 9781351779760


Introduction to Energy and Power

Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics.

Challenges in Understanding

However, in crossing the disciplinary borders, we encounter understanding difficulties due to (1) the many possible mathematical representations of the same physical objects, and (2) the many possible physical interpretations of the same mathematical entities.

Proposed Approaches

The monograph proposes a quantum and a relativistic approach to electromagnetic power theory that is based on recent advances in physics and mathematics.

Revisiting Old Debates

The book takes a fresh look at old debates related to the significance of the Poynting theorem and the interpretation of reactive power.

Mathematical Reformulation

Reformulated in the mathematical language of geometric algebra, the new expression of electromagnetic power reflects the laws of conservation of energy-momentum in fields and circuits.

Interpretation and Significance

The monograph offers a mathematically consistent and physically coherent interpretation of the power concept and of the mechanism of power transmission at the subatomic (mesoscopic) level.

Conclusion

The monograph proves (paraphrasing Heaviside) that there is no finality in the development of a vibrant discipline: power theory.

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