Investigation of symmetries inherent in synchronous machines and development of a generalized park's transformation based solely upon symmetries

The symmetries inherent in three-phase and six-phase synchronous machines have been investigated. It is shown that those symmetries which satisfy the group axioms constitute a mathematical group. The synchronous machine possesses skew symmetries, and, based solely upon these symmetries and using mat...

Full description

Saved in:
Bibliographic Details
Published in:Electric power systems research 1988, Vol.15 (3), p.203-213
Main Authors: Gaber, Ahmed Zaki, Singh, L.P.
Format: Article
Language:English
Subjects:
A.c. Machines
Applied sciences
Electrical engineering. Electrical power engineering
Electrical machines
Exact sciences and technology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The symmetries inherent in three-phase and six-phase synchronous machines have been investigated. It is shown that those symmetries which satisfy the group axioms constitute a mathematical group. The synchronous machine possesses skew symmetries, and, based solely upon these symmetries and using mathematical group theory, a linear power-invariant similarity transformation matrix similar to Park's transformation for six-phase synchronous machines has been derived. As the Park's component transformation for three-phase synchronous machines is available, this result is extended further to develop a generalized Park's component transformation for multiphase synchronous machines.
ISSN:0378-7796
1873-2046
DOI:10.1016/0378-7796(88)90025-9