# Calculations for electromagnetic forces between thick metal plates and cylindrical coils of arbitrary location

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## [ISSN:1007-449X/CN:23-1 408/TM]

- Issue:
- 2016年05

- Page:
- 23-27

- Research Field:

- Publishing date:

## Info

- Title:
- Calculations for electromagnetic forces between thick metal plates and cylindrical coils of arbitrary location

- Author(s):
- LUO Yao
- ( School of Electrical Engineering，Wuhan University，Wuhan 430072，China)

- Keywords:
- cylindrical coils; electromagnetic force; high-order vector potential; Bessel functions; Struve functions

- PACS:
- TM 12

- DOI:
- 10． 15938 / j． emc． 2016． 05． 004

- Abstract:
- For an inclined circular coil with alternating current excitation and placed above a thick metal plate，analytical solution of electromagnetic forces between them can not be found by traditional methods． Using the high-order vector potential，the problem was solved analytically，and vector analysis and Struve functions were employed to simplify the final results． The expressions for the electromagnetic forces acting on the cylindrical coil of arbitrary position were obtained． The results indicate that there are at most two e-lectromagnetic forces acting on the coils． When the axes of coils are perpendicular or parallel to the con-ducting surface，the results can be simplified to 1-D integrals and only perpendicular component exists． The numerical calculations were implemented to verify the obtained results． The results show that the time mean value of the vertical force component can vanish for certain inclined angles of coil axis，and the hori-zontal force component can attain maximum value for some other angles． If direct currents flow through the coil，the electromagnetic forces will vanish only when the plate has the same permeability with the air．

Last Update: 2016-06-26