Electrical Machine Analysis Using Finite Elements

Nicola Bianchi

• Publisher: CRC Press
• Year: 2017
• eBook ISBN: 9781351835183
• Topic: Technology & Engineering
• Subtopic: Electrical Engineering & Telecommunications
• Index: Technology & Engineering

From the fan motor in your PC to precision control of aircraft, electrical machines of all sizes, varieties, and levels of complexity permeate our world. Some are very simple, while others require exacting and application-specific design. Electrical Machine Analysis Using Finite Elements provides the tools necessary for the analysis and design of any type of electrical machine by integrating mathematical/numerical techniques with analytical and design methodologies. Building successively from simple to complex analyses, this book leads you step-by-step through the procedures and illustrates their implementation with examples of both traditional and innovative machines. Although the examples are of specific devices, they demonstrate how the procedures apply to any type of electrical machine, introducing a preliminary theory followed by various considerations for the unique circumstance. The author presents the mathematical background underlying the analysis, but emphasizes application of the techniques, common strategies, and obtained results. He also supplies codes for simple algorithms and reveals analytical methodologies that universally apply to any software program. With step-by-step coverage of the fundamentals and common procedures, Electrical Machine Analysis Using Finite Elements offers a superior analytical framework that allows you to adapt to any electrical machine, to any software platform, and to any specific requirements that you may encounter.

1
Outline of Electromagnetic Fields

In this chapter, some basic concepts of vector analysis and electromagnetic fields are outlined. These concepts will be used in the remainder of the book. The aim is to furnish a concise treatment and a practical formulary, but keep in mind that it is not an exhaustive one. Any reader interested in mastering this subject should look it up in the books listed in the References.

1.1 VECTOR ANALYSIS

In a three-dimensional space, let V = V(P) be a scalar quantity that defines a scalar field, and A = A(P) be a vector quantity that defines a vector field. The dependence on the point P is expressed by using a reference system with curvilinear orthogonal coordinates: they are Cartesian (x,y,z), cylindrical (r,ϑ,z), or spherical (r,ϑ,φ) coordinates.

In general, each of these quantities can be a function of the time, that is, V = V(P,t) and A = A(P,t). This dependence is considered in Section 1.1.8. However, in order to simplify the text, the explicit notation pointing out the dependence of the various quantities on the point P and the time t is omitted.

1.1.1 Operations Among Vectors

Let A and B be two vectors, with |A| and |B| their magnitude respectively and γ the angle between their oriented direct...

Table of contents

• Cover Page
• Title Page
• Copy Page
• Contents
• 1 Outline of Electromagnetic Fields
• 2 Basic Principles of Finite Element Methods
• 3 Applications of the Finite Element Method to Two-Dimensional Fields
• 4 The Analysis Procedure Using the Finite Element Method
• 5 Cylindrical Magnetic Devices
• 6 The Single-Phase Transformer
• 7 Single-Phase Variable Reactance
• 8 Synchronous Generators
• 9 Surface-Mounted Permanent Magnet Motors
• 10 Interior Permanent Magnet and Reluctance Synchronous Motors
• 11 Self-Starting Single-Phase Synchronous Motors
• 12 Switched Reluctance Motors
• 13 Three-Phase Induction Motors
• Appendix
• Index