Abstract
Abstract 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.
Published Version
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