# Electrical Machines

## Mathematical Fundamentals of Machine Topologies

Book

Part of the Mathematical Engineering book series (MATHENGIN, volume 4)

1. Front Matter
Pages i-xiii
2. Dieter Gerling
Pages 1-35
3. Dieter Gerling
Pages 37-88
4. Dieter Gerling
Pages 89-134
5. Dieter Gerling
Pages 135-188
6. Dieter Gerling
Pages 189-217
7. Dieter Gerling
Pages 219-230
8. Dieter Gerling
Pages 231-245
9. Dieter Gerling
Pages 247-254
10. Dieter Gerling
Pages 255-271
11. Dieter Gerling
Pages 273-295
12. Dieter Gerling
Pages 297-324
13. Dieter Gerling
Pages 325-368
14. Dieter Gerling
Pages 369-423
15. Dieter Gerling
Pages 425-447
16. Dieter Gerling
Pages 449-462
17. Dieter Gerling
Pages 463-470
18. Back Matter
Pages 471-472

### Introduction

Electrical Machines and Drives play a powerful role in industry with an ever increasing importance. This fact requires the understanding of machine and drive principles by engineers of many different disciplines. Therefore, this book is intended to give a comprehensive deduction of these principles. Special attention is given to the precise mathematical derivation of the necessary formulae to calculate machines and drives and to the discussion of simplifications (if applied) with the associated limits. The book shows how the different machine topologies can be deduced from general fundamentals, and how they are linked together.

This book addresses graduate students, researchers, and developers of Electrical Machines and Drives, who are interested in getting knowledge about the principles of machine and drive operation and in detecting the mathematical and engineering specialties of the different machine and drive topologies together with their mutual links. The detailed - but nevertheless compact - mathematical deduction together with a distinct emphasis onto assumptions, simplifications and the associated limits, leads to a clear understanding of Electrical Machine and Drive topologies and characteristics.

### Keywords

dynamic operation electrical drices electrical machines fundamental mathematical deduction rotating field theory space vector theory steady state operation

#### Authors and affiliations

1. 1.Fakultät Elektrotechnik und InformationstechnikUniversität der Bundeswehr MünchenNeubibergGermany

Born in 1961, Prof. Gerling got his diploma and Ph.D. degrees in Electrical Engineering from the Technical University of Aachen, Germany in 1986 and 1992, respectively. From 1986 to 1999 he was with Philips Research Laboratories in Aachen, Germany as Research Scientist and later as Senior Scientist. In 1999 Dr. Gerling joined Robert Bosch GmbH in Bühl, Germany as Director. Since 2001 he is Full Professor and Head of the Institute of Electrical Drives at the University of Federal Defense Munich, Germany.

### Bibliographic information

• Book Title Electrical Machines
• Book Subtitle Mathematical Fundamentals of Machine Topologies
• Authors Dieter Gerling
• Series Title Mathematical Engineering
• Series Abbreviated Title Mathematical Engineering
• DOI https://doi.org/10.1007/978-3-642-17584-8
• Copyright Information Springer-Verlag Berlin Heidelberg 2015
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-3-642-17583-1
• Softcover ISBN 978-3-662-52032-1
• eBook ISBN 978-3-642-17584-8
• Series ISSN 2192-4732
• Series E-ISSN 2192-4740
• Edition Number 1
• Number of Pages XIII, 472
• Number of Illustrations 128 b/w illustrations, 182 illustrations in colour
• Topics
• Buy this book on publisher's site
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