Skip to main content

Calculation of Airgap Function and Inductance in Fractional-Slot Concentrated-Wound Interior Permanent Magnet Machines

  • Chapter
  • First Online:
Advanced Theory of Fractional-Slot Concentrated-Wound Permanent Magnet Synchronous Machines

Part of the book series: Springer Theses ((Springer Theses))

  • 898 Accesses

Abstract

This chapter deals with analytical modelling of the equivalent airgap function in a FSCW IPM machine which is later used for calculation of the inductances and the stator flux density in the airgap. The conventional equivalent airgap function is first introduced. A novel equivalent airgap function is then proposed that is based on the specific characteristics of an FSCW stator and the analytical model of the non-homogeneous magnetic saturation of the rotor iron that was previously proposed in Chapter 4. The inductances of the machine and the stator flux density in the airgap are then analytically calculated using the proposed equivalent airgap function and the MMF obtained in Chapter 2. The results are validated through a case-study using FEA and experimental measurements of the prototype FSCW IPM machine.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. P.B. Reddy, A.M. El-Refaie, K.K. Huh, J.K. Tangudu, T.M. Jahns, Comparison of interior and surface PM machines equipped with fractional-slot concentrated windings for hybrid traction applications. IEEE Trans. Energy Convers. 27, 593–602 (2012)

    Article  Google Scholar 

  2. R. Dutta, M.F. Rahman, L. Chong, Winding inductances of an interior permanent magnet (IPM) machine with fractional slot concentrated winding. IEEE Trans. Magn. 48, 4842–4849 (2012)

    Article  Google Scholar 

  3. J. Pyrhonen, T. Jokinen, V. Hrabovcová, Design of Rotating Electrical Machines (Wiley, 2009)

    Google Scholar 

  4. P.C. Krause, O. Wasynczuk, S.D. Sudhoff, S. Pekarek, Analysis of Electric Machinery and Drive Systems, vol. 75 (Wiley, 2013)

    Google Scholar 

  5. A.M. El-Refaie, Z.Q. Zhu, T.M. Jahns, D. Howe, Winding inductances of fractional slot surface-mounted permanent magnet brushless machines, in Industry Applications Society Annual Meeting, 2008, IAS ‘08 (IEEE, 2008), pp. 1–8

    Google Scholar 

  6. J. Staszak, Determination of slot leakage inductance for three-phase induction motor winding using an analytical method. Arch. Electr. Eng. 62, 569–591 (2013)

    Google Scholar 

  7. B. Prieto, M. Martinez-Iturralde, L. Fontan, I. Elosegui, Analytical calculation of the slot leakage inductance in fractional-slot concentrated-winding machines. IEEE Trans. Ind. Electron. 2742–2752 (2015)

    Google Scholar 

  8. B.N. Cassimere, S.D. Sudhoff, D.H. Sudhoff, Analytical design model for surface-mounted permanent-magnet synchronous machines. IEEE Trans. Energy Convers. 24, 347–357 (2009)

    Article  Google Scholar 

  9. G. Dajaku, D. Gerling, Stator slotting effect on the magnetic field distribution of salient pole synchronous permanent-magnet machines. IEEE Trans. Magn. 46, 3676–3683 (2010)

    Article  Google Scholar 

  10. X. Hung Vu, D. Lahaye, H. Polinder, J.A. Ferreira, Influence of stator slotting on the performance of permanent-magnet machines with concentrated windings. IEEE Trans. Magn. 49, 929–938 (2013)

    Article  Google Scholar 

  11. L. Qi, F. Tao, W. Xuhui, Armature-reaction magnetic field analysis for interior permanent magnet motor based on winding function theory. IEEE Trans. Magn. 49, 1193–1201 (2013)

    Article  Google Scholar 

  12. L. Chong, R. Dutta, M.F. Rahman, Design of a highly efficient 1 kW concentric wound IPM machine with a very wide constant power speed range, in Proceedings of the IPEC (2010), pp. 1956–1961

    Google Scholar 

  13. IEEE standard procedure for obtaining synchronous machine parameters by standstill frequency response testing, in IEEE Standard 115A-1987, ed.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Farshadnia .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Farshadnia, M. (2018). Calculation of Airgap Function and Inductance in Fractional-Slot Concentrated-Wound Interior Permanent Magnet Machines. In: Advanced Theory of Fractional-Slot Concentrated-Wound Permanent Magnet Synchronous Machines. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-8708-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-8708-0_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8707-3

  • Online ISBN: 978-981-10-8708-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics