False-zero windings, matrix representation, multi-phase/-layer, winding factor


In this paper, a method to calculate the winding factor by only considering stator parameters without the rotor ones is developed. This is interesting because it allows the separation of the stator and rotor design, unlike the existing methods in the literature. A general method based on the matrix representation of a winding is presented. This approach requires the knowledge of four parameters : i) slots number, ii) phases number, iii) layers number, and iv) single-phase spatial distribution. A new feature of the multi-layer windings is introduced, it is called false-zero windings, which is divided into two categories: i) α-windings (i.e., odd false-zero windings), and ii) β-windings (i.e., even false-zero windings). The windings having no false-zero are categorized as γ-windings. The calculations are applied for single and multi-phase/-layer windings. The results of the comparison are satisfactory. The code used for the calculation is given in Appendix.


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Author Biographies

Daoud Ouamara, Lesi, University of Khemis Miliana, Algeria

Daoud Ouamara was born in Bejaia, Algeria. He received the Licence and the Master degree from Abderrahmane Mira University, Bejaia, Algeria, in 2010, 2012 respectively. He is working towards his PhD degree at Djilali Bounaama University of Khemis Miliana, Alageria, in collaboration with the Département ENERGIE, FEMTO-ST, CNRS, jointly with the University Bourgogne Franche-Comté, France. His interests include optimal design, modeling, simulation and control of electrical machines, especially multiphase PM synchronous machines.

Frédéric Dubas, Department Energie, FEMTO-ST, Belfort, France

Frédéric Dubas was born in Vesoul, France, in 1978. He received the M.Sc. degree and the Ph.D. degree from the “Université of Franche-Comté” (Besanon, France) in 2002 and 2006, respectively, with a focus on the design and the optimization of high speed surface-mounted permanent-magnet (PM) synchronous motor for the drive of a fuel cell aircompressor. From 2014 to 2016, he has been the Head of “Unconventional Thermal and Electrical Machines” Team. He is the Head of the “Electrical Actuators” group in the “Hybrid & Fuel Cell Systems, Electrical Machines (SHARPAC)” Team. He works with ALSTOM Transports (Ornans, France), and RENAULT Technocenter (Guyancourt, France), where he is involved in the modelling, design and optimization of electrical systems and, in particular, induction and PM synchronous (radial and/or axial flux) machines, creative problem solving, and electrical propulsion/traction. He is currently an Associate Professor with the Département ENERGIE, FEMTO-ST Institute affiliated to the CNRS and jointly with the “Université of Franche-Comté” (Besanon, France). He has authored over 100 refereed publications and he holds a patent about the manufacturing of axial-flux PM machines with flux-focusing. Dr. Dubas received the Prize Paper Awards in the IEEE Conference Vehicle Power and Propulsion (VPPC) in 2005 as well as the Prize Presentation Awards in the 19th International Conference on Electrical Machines and Systems (ICEMS) in 2017.

Sid Ali Randi, Vedecom, Versailles, France

Sid-Ali Randi received the degree of engineer in electrical engineering from “Ecole Nationale Polytechnique”, Algiers, in 1995, and Ph.D. from “Institut National Polytechnique de Toulouse”, in 2003. He has more than 15 years experience in the design and simulation of electrical machines and electrical drives for different industrial application, especially permanent magnet machines for electric mobility. He is actually working as R&D Engineer in the field of Electric Machines and Drives at RENAULT Simulation department.

Mohamed Nadjib Benallal, Lesi, University of Khemis Miliana, Algeria

Mohamed Nadjib Benallal was born in El-Affroun (Algeria) on April 18, 1971. He finished his studies in Electrotechnical University of Saint Petersburg and obtained PhD degree in the Polytechnical University of Saint Petersburg. He currently teaches in the University Djilali Bounaama of Khemis-Miliana and he was director of the Laboratory of the Energy and Smart Systems from 2010 to 2016. His research interests are about design of electrical machines and electrical drives.

Christophe Espanet, University of Bourgogne Franche-Comté, France

Christophe Espanet is currently Professor at the University of Franche-Comté, Belfort, France and, at the same time, Scientific Director of SONCEBOZ Group. He received the Ph.D. degree from the University of Franche-Comté (France) in 1999. His doctoral research dealt with the design and the optimization of PM in-wheel motors. From 1999 to 2007, he was an Associate Professor at the University of Franche-Comté in the Laboratory of Electrical Engineering and Systems (L2ES). He is now a Full Professor at the University of Franche-Comté. Finally, since 2014, he is also Scientific Director of SONCEBOZ Group. His research interests include the modelling and the design of electrical systems and in particular electric machines. He has been Technical Chair of IEEE VPPC (Vehicle Power Propulsion Conference) in 2010 (Lille, France) and in 2014 (Coimbra, Portugal). From 2012 to 2014, he was appointed Associate Editor of IEEE transactions on Industry Applications.




How to Cite

Ouamara, D., Dubas, F., Randi, S. A., Benallal, M. N., & Espanet, C. (2019). GENERAL CALCULATION OF WINDING FACTOR FOR MULTI-PHASE/-LAYER ELECTRICAL MACHINES IRRESPECTIVE OF POLES NUMBER. Acta Polytechnica, 59(2), 153–161.