Modeling of split-phase machines in Park's coordinates. Part II: Equivalent circuit representation

Abstract

A split-phase machine is a special electric machine whose stator winding is split into multiple (N) three-phase sets. The possibility to supply it through N independent inverters makes it attractive especially when high power and reliability are required. So far, the dq0 refeence frame representation, originally introduced for three-phase machines, has been applied in detail to split-phase configurations in the N=2 case only. In this paper, the extension to an arbitrary number of stator sets is investigated from an equivalent circuit representation viewpoint. The equivalent circuit topologies proposed in this paper to represent a split-phase machine with N three-phase sets is directly derived from the theory presented in Part I. In particular, it will be stressed that as long as N is equal to 1 or 2, dq equivalent circuits remain decoupled as known from the literature, otherwise for N higher than or equal to 3, dq cross couplings must be taken into account in the equivalent circuit representation.

Advances in Dual-Three-Phase Permanent Magnet Synchronous Machines and Control Techniques

“…Design of multi-three-phase PM machine Barcaro, et al, 2010, [27], University of Padova, Italy Abdel-Khalik, et al, 2015, [29], Alexandria University, Egypt Chen, et al, 2014, [33], University of Sheffield, UK Xu, et al, 2018, [46], University of Sheffield, UK Li, et al, 2020, [50], University of Sheffield, UK Modelling of multi-threephase PM machine [54][55][56][57][58][59][60][61][62][63][64][65][66][67] Karttunen, et al, 2012, [54], Lappeenranta University of Technology, Finland Hu, et al, 2017, [58], University of Sheffield, UK Zhao, et al, 1995, [62], University of Wisconsin-Madison, USA Zabaleta, et al, 2017, [63], Liverpool John Moores University, UK Vector control [54][55][56][57][58][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83]…”

Speed control with load sharing capabilities for multi-three phase synchronous motors

“…Three-phase machine stator variables (i.e. voltage, current, etc., denoted with subscript abc) can be transformed within the rotor-attached orthogonal dq0 reference frame (denoted with subscript dq) thanks to the Park's transformation [14], [15]. Distributed current control of the machine can be achieved thanks to the following equation [16]:…”

Modeling and Evaluation of Cycloconverter-Fed Two-Stator-Winding SAG Mill Drive—Part I: Modeling Options

“…Modeling of 2-stator ac machine (also called six-phase machine) and multi-stator ac machine have been reported in [1], [2], [3], [4] and [5]. In [6] a winding transformation is proposed for a two-stator induction machine aiming to find an equivalent one stator model, but in this case coupling between stators is not considered.…”