# Electrical MachinesSpace Vector Theory

Electrical Machines: Space Vector Theory 11 Space Vector Theory 11.1 Methods for Field Calculation For the description and calculation of electro-magnetic fields in electrical ma- chines mainly the following four methods are used: 1. The wave-description of the electro-magnetic fields (see Sects. 3.3 to 3.5) has proven its value if stationary characteristics are to be calculated. This method may be used for the fundamental-wave characteristics of electrical machines, but it may be even used if additionally to the fundamental wave higher harmon- ics are to be considered. E.g. this is the case if harmonic torque components (torque oscillations) or acoustic noise shall be computed. 2. The symmetric components (please refer to Sect. 1.6) are mainly used for the examination of asymmetric events with constant frequency (this may be even transient reactions). 3. The usage of complex space vectors is advantageous if the transient characteris- tics of (controlled or uncontrolled) electrical drives are regarded. This method will be explained in the following sections. 4. When using the Finite Element Method (FEM) the electrical machine is divided in many small parts (“finite elements”) and the electro-magnetic behavior of the machine is calculated numerically for each of these elements and for each operating point: The Maxwell’s equations http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# Electrical MachinesSpace Vector Theory

Part of the Mathematical Engineering Book Series (volume 4)
Electrical Machines — Sep 4, 2014
28 pages

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Publisher
Springer Berlin Heidelberg
ISBN
978-3-642-17583-1
Pages
297 –324
DOI
10.1007/978-3-642-17584-8_11
Publisher site
See Chapter on Publisher Site

### Abstract

11 Space Vector Theory 11.1 Methods for Field Calculation For the description and calculation of electro-magnetic fields in electrical ma- chines mainly the following four methods are used: 1. The wave-description of the electro-magnetic fields (see Sects. 3.3 to 3.5) has proven its value if stationary characteristics are to be calculated. This method may be used for the fundamental-wave characteristics of electrical machines, but it may be even used if additionally to the fundamental wave higher harmon- ics are to be considered. E.g. this is the case if harmonic torque components (torque oscillations) or acoustic noise shall be computed. 2. The symmetric components (please refer to Sect. 1.6) are mainly used for the examination of asymmetric events with constant frequency (this may be even transient reactions). 3. The usage of complex space vectors is advantageous if the transient characteris- tics of (controlled or uncontrolled) electrical drives are regarded. This method will be explained in the following sections. 4. When using the Finite Element Method (FEM) the electrical machine is divided in many small parts (“finite elements”) and the electro-magnetic behavior of the machine is calculated numerically for each of these elements and for each operating point: The Maxwell’s equations

Published: Sep 4, 2014

Keywords: Space Vector; Rotor Position; Complex Space Vector; Induction Machine; Fundamental Wave