IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i7p3197-d1113884.html
   My bibliography  Save this article

Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines

Author

Listed:
  • Antonino Di Gerlando

    (Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, Italy)

  • Claudio Ricca

    (Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, Italy)

Abstract

This paper presents an analytical study of the air-gap magnetic field of a Surface Permanent Magnet (SPM) linear machine under no load. By means of the method of images, the complex expression of the magnetic field of a conductor, inside the air gap between two smooth iron surfaces, is retrieved. Then, integrating the conductor expression, the formulation of the magnetic field of a current sheet and thus the one of a SPM, using two vertical current sheets, is obtained. At last, the no-load magnetic field expression, for a generic time instant, of a slotless machine is retrieved. The novelty of the proposed approach is the availability, due to a different calculation approach, of a unique closed-form formulation for the slotless machine air-gap field, a quantity that, in literature, is usually present in Fourier series formulation. Additionally, as a means to calculate integral quantities and show the goodness of the method a complex slotting function is introduced to account for the slotted geometry. Finally, starting from Lorenz’s force formulation, the expression of the Maxwell tensor in complex form is retrieved and the contribution of forces, integral of the complex stress tensor quantity, will be calculated and compared with FEM simulations, showing a good agreement also with the analytical slotted model.

Suggested Citation

  • Antonino Di Gerlando & Claudio Ricca, 2023. "Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines," Energies, MDPI, vol. 16(7), pages 1-19, April.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:7:p:3197-:d:1113884
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/7/3197/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/16/7/3197/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bo Li & Jun’an Zhang & Xiaolong Zhao & Bo Liu & Hao Dong, 2023. "Research on Air Gap Magnetic Field Characteristics of Trapezoidal Halbach Permanent Magnet Linear Synchronous Motor Based on Improved Equivalent Surface Current Method," Energies, MDPI, vol. 16(2), pages 1-12, January.
    2. Huihui Geng & Xueyi Zhang & Shilong Yan & Yufeng Zhang & Lei Wang & Yutong Han & Wei Wang, 2022. "Magnetic Field Analysis of an Inner-Mounted Permanent Magnet Synchronous Motor for New Energy Vehicles," Energies, MDPI, vol. 15(11), pages 1-22, June.
    3. Yusuf Akcay & Paolo Giangrande & Oliver Tweedy & Michael Galea, 2021. "Fast and Accurate 2D Analytical Subdomain Method for Coaxial Magnetic Coupling Analysis," Energies, MDPI, vol. 14(15), pages 1-18, July.
    4. Jean-Michel Grenier & Ramón Pérez & Mathieu Picard & Jérôme Cros, 2021. "Magnetic FEA Direct Optimization of High-Power Density, Halbach Array Permanent Magnet Electric Motors," Energies, MDPI, vol. 14(18), pages 1-19, September.
    5. Wenjing Hu & Xueyi Zhang & Hongbin Yin & Huihui Geng & Yufeng Zhang & Liwei Shi, 2020. "Analysis of Magnetic Field and Electromagnetic Performance of a New Hybrid Excitation Synchronous Motor with dual-V type Magnets," Energies, MDPI, vol. 13(6), pages 1-19, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Antonino Di Gerlando & Claudio Ricca, 2023. "Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction," Energies, MDPI, vol. 16(8), pages 1-16, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiaoquan Lu & Xinyi He & Ping Jin & Qifeng Huang & Shihai Yang & Mingming Chen, 2021. "General 3D Analytical Method for Eddy-Current Coupling with Halbach Magnet Arrays Based on Magnetic Scalar Potential and H-Functions," Energies, MDPI, vol. 14(24), pages 1-15, December.
    2. Huihui Geng & Xueyi Zhang & Yufeng Zhang & Wenjing Hu & Yulong Lei & Xiaoming Xu & Aichuan Wang & Shanjian Wang & Liwei Shi, 2020. "Development of Brushless Claw Pole Electrical Excitation and Combined Permanent Magnet Hybrid Excitation Generator for Vehicles," Energies, MDPI, vol. 13(18), pages 1-13, September.
    3. Gustav Mörée & Mats Leijon, 2022. "Overview of Hybrid Excitation in Electrical Machines," Energies, MDPI, vol. 15(19), pages 1-38, October.
    4. Xingxing Wang & Peilin Ye & Yujie Zhang & Hongjun Ni & Yelin Deng & Shuaishuai Lv & Yinnan Yuan & Yu Zhu, 2022. "Parameter Optimization Method for Power System of Medium-Sized Bus Based on Orthogonal Test," Energies, MDPI, vol. 15(19), pages 1-26, October.
    5. Zhaolong Sun & Guangyong Jia & Chuibing Huang & Weichang Zhou & Yinhao Mao & Zhaoran Lei, 2023. "Accurate Modeling and Optimization of Electromagnetic Forces in an Ironless Halbach-Type Permanent Magnet Synchronous Linear Motor," Energies, MDPI, vol. 16(15), pages 1-19, August.
    6. Changchuang Huang & Baoquan Kou & Xiaokun Zhao & Xu Niu & Lu Zhang, 2022. "Multi-Objective Optimization Design of a Stator Coreless Multidisc Axial Flux Permanent Magnet Motor," Energies, MDPI, vol. 15(13), pages 1-13, June.
    7. Alistair Duffy & Gang Zhang, 2023. "Electromagnetic Design and Analysis in Electrical Power Conversion and Usage," Energies, MDPI, vol. 16(5), pages 1-10, February.
    8. Huihui Geng & Xueyi Zhang & Shilong Yan & Yufeng Zhang & Lei Wang & Yutong Han & Wei Wang, 2022. "Magnetic Field Analysis of an Inner-Mounted Permanent Magnet Synchronous Motor for New Energy Vehicles," Energies, MDPI, vol. 15(11), pages 1-22, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:16:y:2023:i:7:p:3197-:d:1113884. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.