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Karl-Heinz Gonschorek · Ralf Vick

Electromagnetic Compatibility for Device Design and System Integration

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Prof. Dr.-Ing. Karl-Heinz Gonschorek EMV-Beratung - EMC-Consultant Gostritzer Straße 106 01217 Dresden [email protected]

Prof. Dr.-Ing. Ralf Vick Lehrstuhl f¨ur Elektromagnetische Vertr¨aglichkeit Otto-von-Guericke-Universit¨at Magdeburg Institut f¨ur Grundlagen der Elektrotechnik und Elektromagnetische Vertr¨aglichkeit Postfach 4120 39016 Magdeburg [email protected]

ISBN 978-3-642-03289-9 e-ISBN 978-3-642-03290-5 DOI 10.1007/978-3-642-03290-5 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009934598 c Springer-Verlag Berlin Heidelberg 2009  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

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Motivation and Overview ................................................................ 1 1.1 Availability of programs, mentioned in the book.................... 6 1.2 Availability of the figures, given in the book.......................... 6

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Thinking in Voltages, Currents, Fields and Impedances .............. 7

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Electric Fields.................................................................................. 19 3.1 Effects of electric fields and their calculation ....................... 22

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Magnetic Fields ............................................................................... 29 4.1 Effects of magnetic fields...................................................... 29 4.2 Calculation of magnetic field strength of single and multicore cables .................................................................... 31 4.3 Magnetic fields of Geofol transformers ................................ 34 4.4 Magnetic stray fields of arbitrary arrangements of thin wires ...................................................................................... 35 4.4.1 Magnetic field of a four conductor arrangement.......... 35 4.4.2 Magnetic fields of twisted cables................................. 37 4.4.3 Example calculation with the program STRAYF ........ 39 4.4.4 Peculiarities of magnetic fields of twisted cables ........ 41

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