Eur. Phys. J. Appl. Phys.
Volume 50, Number 3, June 2010
|Number of page(s)||15|
|Section||Physics of Energy Generation Transfer, Conversion and Storage|
|Published online||17 May 2010|
General modeling of the windings for multi-phase ac machines
Application for the analytical estimation of the mutual stator inductances for smooth air gap machines
Institut de Recherche de l'École Navale, 29240 Brest-Armées, France
2 Arts et Métiers ParisTech, 59000 Lille, France
3 Université Lille Nord de France, 59000 Lille, France
Corresponding author: email@example.com
Accepted: 23 March 2010
Published online: 17 May 2010
This paper, which deals with the winding modeling of ac multi-phase machines with a regular distribution of the stator slots, details an original matrix modeling of the stator winding. First, the properties of the balanced multi-phase windings (with integral-slot and fractional-slot patterns) are analysed. The winding function approach, one of the most common way to model the winding distribution effects on the stator rotating field, is then introduced. For multi-phase machines, it will be shown that the pole number generated by the winding distribution depends on a new parameter: the circularity index. The discrete nature of the winding, imposed by the stator slots, leads to the development of a discrete modeling of the winding obtained from sampling the winding function: two matrices, the winding function matrix and the distribution function matrix, are introduced to characterize the multi-phase winding. This matrix approach is thus a concise way to calculate the winding factors and to estimate the set of self and mutual stator inductances for smooth air gap multi-phase machines. A particularly original method of obtaining an analytical expression for the leakage mutual inductance is described. The results are validated with two experimental 5-phase PM machines by using experimental measurements and numerical simulations.
© EDP Sciences, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.