The Application of Hyperbolic Functions to Electrical Engineering Problems

A. E. Kennelly

ISBN 10: 1330189604 / ISBN 13: 9781330189603

Published by Forgotten Books, 2017

About this Item

Print on Demand. This book explores the applications of hyperbolic functions to electrical engineering problems, specifically in the study of continuous currents and alternating current power transmission lines. The author establishes that the quantitative theories of continuous and alternating current systems are inherently identical, with all continuous current formulas being interpretable in alternating current terms when complex numbers are substituted for real numbers. By applying hyperbolic trigonometric formulas, the author demonstrates the existence of an angle in both circular and hyperbolic sectors, with the hyperbolic angle representing the current or voltage distribution in a given sector of a conducting line. The author demonstrates the utility of these functions in analyzing phenomena such as the potential and current distribution in simple alternating current lines, heavily loaded lines, and the influence of additional distributed leakance on a loaded line. The ideas presented in the book have expanded the theoretical understanding of continuous and alternating current systems, making this a valuable resource for students, researchers, and practitioners in the field of electrical engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781330189603_0

Bibliographic Details

• Title: The Application of Hyperbolic Functions to Electrical Engineering Problems
• Publisher: Forgotten Books
• Publication Date: 2017
• Language: English
• ISBN 10: 1330189604
• ISBN 13: 9781330189603
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Electronics

About this title

Synopsis

Excerpt from The Application of Hyperbolic Functions to Electrical Engineering Problems

Hyperbolic functions have numerous, well recognized uses in applied science, particularly in the theory of charts (mercator's projection), and in mechanics (strains). But it is only within recent years that their applications to electrical engineering have become evident. Wherever a line, or series of lines, of uniform linear constants is met with, an immediate field of usefulness for hyperbolic functions presents itself, particularly in high-frequency alternating-current lines.

The following pages are intended to cover the scope and purport of five lectures given for the University of London, at The Institution of Electrical Engineers, Victoria Embankment, by kind permission of the Council, May 29 to June 2, 1911, bearing the same title as this book.

About the Publisher

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.