Generalized transformations for polyphase phase-Modulation motors

Abstract

This paper presents a factorization method for the generation and use of several kinds of transformation matrices in specific structures of phase modulation polyphase motors. The method can be applied to an arbitrary phase number. It avoids complex trigonometric manipulations. Several examples illustrate its application to a seven-phase machine.

Modeling and Simulation of Multiphase Machines in the Matlab/Simulink Environment

“…We notice that the proposed matrices do not coincide either with those used by Figueroa et al, 2006, or with those mentioned in Levi et al, 2007, but are specifically design to treat an nphase machine with conventional multiphase arrangement (Tessarolo, 2009). …”

“…The kind of rotor (which may be of squired-cage, permanent-magnet, reluctance, assisted-reluctance type as well as in ordinary three-phase machines). As concerns phase arrangement, for instance, the n phases may be distributed symmetrically around the stator circumference with a phase shift of 360/n electrical degrees, as it happens in five-phase (Pereira et al, 2006) and seven-phase (Figueroa et al, 2006) symmetrical machines (Fig. 1a).…”

“…A natural answer would be the symmetrical n-phase winding scheme with 2π/n phase progression, which is considered by Figueroa et al, 2006. With such a choice, the theory proposed in by Figueroa et al, 2006 could be in fact used to build the VSD transformation V(x). The problem which would occur with this choice, however, would be the lack of generality.…”

A Space Vector PWM Scheme for Multifrequency Output Voltage Generation With Multiphase Voltage-Source Inverters

“…Using vector space decomposition into two planes, the resulting equivalent circuit representation of the two-motor drive of Fig. 2 [23] is, from the VSI point of view (but not from the machines' point of view), identical to the one obtained for concentrated winding single-motor drive [24], [25]: the inverter has to generate nonzero voltage references in both planes. The important difference is however that for a concentrated winding machine the reference voltage in the second plane has a frequency firmly determined with the first plane reference; also, the second reference magnitude is only a small fraction of the first reference magnitude in steady state operation [11].…”

Modélisation causale pour la commande auto-adaptée de machines alternatives triphasées en mode dégradé

“…L'étude en fonctionnement normal des entraînements électriques polyphasés employés dans les systèmes industriels fait l'objet de nombreux travaux (Figueroa et al, 2003 ;Figueroa et al, 2006 ;Levi et al, 2007). Lorsque l'alimentation de la machine est altérée par l'ouverture accidentelle de l'une des phases, la marche du système n'est alors plus satisfaisante.…”