Skip to main content
Log in

Advanced optimization methods for fractional slot concentrated windings

  • Original Paper
  • Published:
Electrical Engineering Aims and scope Submit manuscript

Abstract

Usage of fractional slot concentrated windings (FSCWs) in electrical machines offers several advantages due to their simplicity and compactness. However, the magnetic field of FSCWs has more space harmonics, including sub-harmonics that lead to undesirable effects. High rotor losses, noise, vibrations and thermal problems are the main drawbacks caused by FSCWs. These disadvantages limit the suitability of this winding type for some applications. In order to improve winding performances, several methods and techniques have recently been developed and analysed. This paper provides an update of latest research activities in terms of optimization of FSCW machines. These include efforts to reduce only sub-harmonics, to simultaneously reduce sub- and high harmonics or to use a higher harmonic for rotor excitation in current-excited synchronous machines. Simplest and most effective methods are considered, and their functionalities are explained briefly. Moreover, the effectiveness of said optimization methods is shown by simulation and experimental results, obtained from various optimized FSCW machines.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

References

  1. El-Refaie AM (2010) Fractional-slot concentrated-windings synchronous permanent magnet machines: opportunities and challenges. IEEE Trans Ind Electron 57(1):107–121

    Article  Google Scholar 

  2. Zhu ZQ, Azar Z, Ombach G (2012) Influence of additional air gaps between stator segments on cogging torque of permanent-magnet machines having modular stators. IEEE Trans Magn 48(6):2049–2055

    Article  Google Scholar 

  3. Meier F, Soulard J (2009) PMSMs with non-overlapping concentrated windings: design guidelines and model references. In: Ecologic vehicles-renewable energy, Monaco

  4. Cros J, Viarouge P (2002) Synthesis of high performance PM motors with concentrated windings. IEEE Trans Energy Convers 17:248–253

    Article  Google Scholar 

  5. Ishak D, Zhu ZQ, Howe D (2006) Comparison of PM brushless motors, with either all or alternative wound teeth. IEEE Trans Energy Convers 21(1):95–103

    Article  Google Scholar 

  6. Shi-Uk C et al (2012) Fractional slot concentrated winding permanent magnet synchronous machine with consequent pole rotor for low speed direct drive. IEEE Trans Magn 48(11):2965–2968

    Article  Google Scholar 

  7. El-Refaie AM, Jahns TM (2005) Optimal flux weakening in surface PM machines using concentrated windings. IEEE Trans Ind Appl 41:790–800

    Article  Google Scholar 

  8. Magnussen F, Sadarangani C (2003) Winding factors and Joule losses of permanent magnet machines with concentrated windings. In: 2003 IEEE International Electric Machines & Drives Conference (IEMDC 2003), 01-04.06 Madison Wisconsin, USA

  9. Libert F, Soulard J (2004) Investigation on pole-slot combinations for permanent-magnet machines with concentrated windings. In: Proceedings of ICEM, 2004, CD

  10. Bianchi N, Dai Pre M (2006) Use of the star of slots in designing fractional-slot single-layer synchronous motors. In: Proceedings of IEE–Electric Power Application, vol 153, no 3, pp 459–466, May 2006

  11. Spargo CM, Mecrow BC, Widmer JD (2013) Application of fractional slot concentrated windings to synchronous reluctance machines. In: IEEE International Electric Machines and Drives Conference, IEMDC2013, pp 618–625, Chicago, USA, 12–15 May 2013

  12. Azar Z, Zhu ZQ (2013) Investigation of electromagnetic performance of salient-pole synchronous reluctance machines having different concentrated winding connections. In: IEEE International Electric Machines and Drives Conference, IEMDC2013, pp 359–366, Chicago, USA, 12–15 May 2013

  13. Abdel-Khalik AS, Ahmed S (2012) Performance evaluation of a five-phase modular winding induction machine. IEEE Trans Ind Electron 59(6):2654–2669

    Article  Google Scholar 

  14. Moros O, Dajaku G et al (2015) New high voltage 2-pole concentrated winding and corresponding rotor design for induction machines. In: The 41th annual conference of the IEEE Industrial Electronics Society (IECON-2015), Yokohama, Japan, November 2015

  15. Patzak A, Gerling D (2014) Design of an automotive 48 V Integrated starter-generator on the basis of an induction machine with concentrated windings. In: 17th International Conference on Electrical Machines and Systems (ICEMS-2014), 22–25 October 2014, pp 2583–2589, Hangzhou, China

  16. Li J, Choi DW, Son DH, Cho YH (2012) Effects of MMF harmonics on rotor eddy-current losses for inner-rotor fractional slot axial flux permanent magnet synchronous machines. IEEE Trans Magn 48(2):839–842

    Article  Google Scholar 

  17. Yamazaki K, Fukushima Y (2011) Effect of eddy-current loss reduction by magnet segmentation in synchronous motors with concentrated windings. IEEE Trans Ind Appl 47(2):779–788

    Article  Google Scholar 

  18. Bianchi N, Fornasiero E (2009) Index of rotor losses in three-phase fractional slot permanent magnet machines. Electr Power Appl IET 3(5):381–388

    Article  Google Scholar 

  19. Zhu ZQ, Xia ZP et al (2009) Influence of slot and pole number combination on radial force and vibration modes in fractional slot PM brushless machines having single- and double-layer windings. In: Energy Conversion Congress and Exposition 2009, ECCE 2009, 20–24 Sept 2009, San Jose, California, USA

  20. Valavi M, Nysveen A et al (2014) Influence of pole and slot combinations on magnetic forces and vibration in low-speed PM wind generators. IEEE Trans Magn 50(5):8700111

    Article  Google Scholar 

  21. Dajaku G, Gerling D (2013) The influence of permeance effect on the magnetic radial forces of PM synchronous machines. IEEE Trans Magn 49(6):2953–2966

    Article  Google Scholar 

  22. Boesing M, Kasper KA, Doncker RW (2008) Vibration excitation in an electric traction motor for a hybrid electric vehicle. In: 37th International Congress and Exposition on Noise Control Engineering, Inter-Noise 2008, 26–29 October 2008, Shanghai-China

  23. Gieras JF, Wang C et al (2007) Analytical prediction of noise of magnetic origin produced by permanent magnet brushless motors. In: IEEE International Electric Machines and Drives Conference, IEMDC2007, pp 148–152

  24. Dajaku G, Spas S et al (2015) Comparison of two FSCW PM machines for integrated traction motor/generator. In: IEEE International Electric Machines and Drives Conference (IEMDC-2015), pp 187–194, 10–13 May 2015, Coeur d’Alene (ID), USA

  25. Dajaku G, Xie W, Gerling D (2014) Reduction of low space harmonics for the fractional slot concentrated windings using a novel stator design. IEEE Trans Magn 50(5):1–12

    Article  Google Scholar 

  26. Dajaku G, Gerling D (2012) Low costs and high-efficiency electric machines. In: 2nd International Electric Drives Production Conference 2012 (EDPC-2012), 16–17 October 2012, Erlangen-Nurnberg, Germany

  27. Li GJ, Zhu ZQ et al (2014) Influence of flux gaps on electromagnetic performance of novel modular pm machines. IEEE Trans Energy Convers 29(3):716–726

    Article  Google Scholar 

  28. Li GJ, Zhu ZQ et al (2015) Modular permanent-magnet machines with alternate teeth having tooth tips. IEEE Trans Ind Electron 62(10):6120–6130

    Article  Google Scholar 

  29. Nollau A, Gerling D (2015) A flux-barrier cooling for traction motors in hybrid drives. In: IEEE International Electric Machines and Drives Conference (IEMDC-2015), pp 1103–1108, 10–13 May 2015, Coeur d’Alene (ID), USA

  30. Dajaku G, Gerling D (2011) Eddy current loss minimization in rotor magnets of PM machines using high-efficiency 12-teeth/10-poles winding topology. In: International Conference on Electrical Machines and Systems (ICEMS-2011), Beijing, China, 20–23 August 2011

  31. Sui Y, Zheng P et al (2014) Research on a 20-Slot/22-pole five-phase fault-tolerant PMSM used for four-wheel-drive electric vehicles. Energies 7:1265–1287

    Article  Google Scholar 

  32. Ito K, Naka K, Nakano M, Kobayashi M (2009) Electric machine. US Patent US7 605 514, 20 Oct 2009

  33. Cistelecan M, Ferreira FF, Popescu M (2010) Three-phase tooth concentrated interspersed windings with low space harmonic content. In: 19th International Conference on Electrical Machines (ICEM’2010), 2–5 September 2010, Rome, Italy

  34. Wang Y, Qu R, Li J (2014) Multi-layer windings effect on interior PM machines for EV applications. In: 21st International Conference on Electrical Machines (ICEM’2014), 2–5 September 2014, Berlin, Germany

  35. Reddy PB, El-Refaie AM, Hub K-K (2011) Effect of number of layers on performance of fractional-slot concentrated-windings interior permanent magnet machines. In: 8th International Conference on Power Electronics—ECCE Asia May 30–June 3, 2011, The Shilla Jeju, Korea, pp 1921–1928

  36. Bianchi N, Alberti L, Barcaro M (2015) Design and tests of a four-layer fractional-slot interior permanent magnet motor. In: 2015 IEEE Workshop on Electrical Machines Design, Control and Diagnosis (WEMDCD 2015), 26–27 March 2015, Torino, Italy

  37. Alberti L, Barcaro M, Bianchi N (2014) Design of a low torque ripple fractional-slot interior permanent magnet motor. IEEE Trans Ind Appl 50(3):1801–1808

    Article  Google Scholar 

  38. Alberti L, Bianchi N (2013) Theory and design of fractional-slot multilayer windings. IEEE Trans Ind Appl 49(2):841–849

    Article  Google Scholar 

  39. Kim H, Kim D, Hong J (2014) Characteristic analysis for concentrated multiple-layer winding machine with optimum turn ratio. IEEE Trans Magn 50(2):789–792

    Article  Google Scholar 

  40. Barcaro M, Bianchi N, Magnussen F (2010) Analysis and tests of a dual three-phase 12-slot 10-pole permanent-magnet motor. IEEE Trans Ind Appl 46(6):2355–2362

    Article  Google Scholar 

  41. Abdel-Khalik AS, Ahmed S, Massoud AM (2015) Low space harmonics cancelation in double-layer fractional slot winding using dual multiphase winding. IEEE Trans Magn 51(5):839–842

    Article  Google Scholar 

  42. Aslan B et al (2011) Slot/pole combinations choice for concentrated multiphase machines dedicated to mild-hybrid applications. In: Proceedings of the 37th Annual Conference on IEEE Industrial Electronics Society (IECON 2011), Melbourne, Australia, 7–10 November 2011, pp 3698–3703

  43. Wu F, Zheng P et al (2014) Design and experimental verification of a short-circuit proof six-phase permanent magnet machine for safety critical applications. IEEE Trans Magn 50(11):1–4

    Google Scholar 

  44. Burkhardt Y, Spagnolo A, Lucas P, Zavesky M, Brockerhoff P (2014) Design and analysis of a highly integrated 9-phase drivetrain for EV applications. In: International Conference on Electrical Machines (ICEM 2014), pp 450–456, 2–5 September, Berlin, Germany

  45. Dajaku G, Gerling D (2013) A novel tooth concentrated winding with low space harmonic contents. In: International Electric Machines and Drives Conference (IEMDC-2013), 12–15 Mai 2013, Chicago, USA

  46. Dajaku G, Hofman H et al (2016) Comparison of two different IPM traction machines with concentrated winding. IEEE Trans Ind Electron 63(7):4137–4149

    Article  Google Scholar 

  47. Sundaram VM, Toliyat HA (2015) A fractional slot concentrated winding (FSCW) configuration for outer rotor squirrel cage induction motors. In: IEEE International Electric Machines and Drives Conference (IEMDC-2015), pp 20–26, 10–13 May 2015, Coeur d’Alene (ID), USA

  48. Spark Controls Winding Machines website: www. Sparkcontrols.com/machine_videos/ceiling_fan_stator_winding_machines

  49. Dajaku G, Spas et al (2016) An improved fractional slot concentrated winding for low-pole induction machines. In: 22nd International Conference on Electrical Machines (ICEM’2016), 4–7 September 2016, Lausanne, Switzerland

  50. Dajaku G, Gerling D (2011) A novel 24-slots/10-poles winding topology for electric machines. In: International Electric Machines and Drives Conference (IEMDC-2011), Niagara Falls (Ontario), Kanada, 15–18 May 2011, pp 65–70

  51. Reddy PB, Huh K-K, El-Refaie A (2012) Effect of stator shifting on harmonic cancellation and flux weakening performance of interior PM machines equipped with fractional-slot concentrated windings for hybrid traction applications. In: Energy Conversion Congress and Exposition (ECCE), 2012 IEEE, pp 525–533, 15–20 Sept 2012

  52. Kum-Kang H, El-Refaie AM (2014) Generalized approach of stator shifting in interior permanent-magnet machines equipped with fractional-slot concentrated windings. IEEE Trans Ind Electron 61(9):5035–5046

    Article  Google Scholar 

  53. Wang J, Patel VI, Wang W (2014) Fractional-slot permanent magnet brushless machines with low space harmonic contents. IEEE Trans Magn 50(1):1–9

    Google Scholar 

  54. Wang K, Zhu ZQ, Ombach G (2014) Synthesis of high performance fractional-slot permanent-magnet machines with coil-pitch of two slot-pitches. IEEE Trans Energy Convers 29(3):758–770

    Article  Google Scholar 

  55. Patel VI, Wang JW et al (2014) Six-phase fractional-slot-per-pole-per-phase permanent-magnet machines with low space harmonics for electric vehicle application. IEEE Trans Ind Appl 50(4):2554–2563

    Article  Google Scholar 

  56. Patel VI et al (2016) Enhanced availability of drivetrain through novel multiphase permanent-magnet machine drive. IEEE Trans Ind Electron 63(1):469–480

    Article  Google Scholar 

  57. Domann N, Henke M (2014) Design and build-up of a high performance six-phase machine for an automotive application. In: 21th International Conference on Electrical Machines (ICEM’2014), 2–5 September 2014, Berlin, Germany

  58. Dajaku G (2010) Elektrische Maschine. German patent application No. DE 102013 103665.1

  59. Spas S, Dajaku G, Gerling D (2015) Eddy current loss reduction in PM traction machines using two-tooth winding. In: 2015 IEEE Vehicle Power and Propulsion Conference (VPPC-2015), 19–22 October 2015, Montreal (Quebec), Canada

  60. Gamba M, Pellegrino G, Vagati A (2014) A new PM-assisted synchronous reluctance machine with a nonconventional fractional slot per pole combination. In: 2014 International Conference on Optimization of Electrical and Electronic Equipment (OPTIM-2014), 22–24 May 2014

  61. Dajaku G, Gerling D (2013) New self-excited synchronous machine with tooth concnetrated winding. In: 3rd International Electric Drives Production Conference 2013 (EDPC-2013), 29–30 October 2013, Erlangen-Nurnberg, Germany

  62. Marignetti F, D’Aguanno D (2015) Design and optimization of self-excited synchronous machines with fractional slots. In: 10th International Conference on Ecological Vehicles and Renewable Energies (EVER), March/April 2015, Monte-Carlo, Monaco

  63. Aoyama M, Noguchi T (2014) Mathematical model of novel wound field synchronous motor self-excited by space harmonics. In: International Power Electronics Conference (IPEC-Hiroshima 2014-ECCE-ASIA), 2014, May 2014, pp 1405–1411

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sachar Spas.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dajaku, G., Spas, S. & Gerling, D. Advanced optimization methods for fractional slot concentrated windings. Electr Eng 101, 103–120 (2019). https://doi.org/10.1007/s00202-019-00760-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-019-00760-6

Keywords

Navigation