Magnetic Field Modeling

  • Liang YanEmail author
  • I-Ming Chen
  • Chee Kian Lim
  • Guilin Yang
  • Kok-Meng Lee
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 4)


The magnetic field modeling of the PM-pole rotor is presented. According to the magnetic characteristics of the three regions of the rotor space, Laplace’s equations of magnetic scalar potential are derived. By using the boundary conditions in between neighboring regions as well as the spherical harmonic expansion of radial component of the residual magnetization vector, coefficients in the general solution of magnetic scalar potential are determined. The magnetic field flux density of the PM rotor is formulated analytically by taking the gradient of the scalar potential. The derived analytical magnetic field model can be used to formulate the torque output of the spherical actuator.


Rotor Pole Pole Arrangement Spherical Harmonic Expansion Magnetic Field Modeling Demagnetization Curve 
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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Liang Yan
    • 1
    Email author
  • I-Ming Chen
    • 2
  • Chee Kian Lim
    • 3
  • Guilin Yang
    • 4
  • Kok-Meng Lee
    • 5
  1. 1.School of Automation Science and Electrical EngineeringBeihang UniversityBeijingPeople’s Republic of China
  2. 2.School of Mechanical and Aerospace EngineeringNanyang Technological UniversitySingaporeSingapore
  3. 3.School of Mechanical & Aeronautical EngineeringSingapore PolytechnicSingaporeSingapore
  4. 4.Singapore Institute of Manufacturing TechnologyNanyangSingapore
  5. 5.Georgia Institute of TechnologyAtlantaUSA

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