International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: http://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
Open Access
Journal Browser
Go
International Journal of Physics. 2020, 8(2), 71-80
DOI: 10.12691/ijp-8-2-5
Open AccessArticle

Magnetic Force Calculation between Magnets and Coils

Ali Jebelli1, , Arezoo Mahabadi2, Mustapha C. E. Yagoub3 and Hicham Chaoui1

1Department of Electronics, Carleton University, Ottawa, Canada

2School of Engineering Science, Tehran University, Tehran, Iran

3School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, Canada

Pub. Date: July 13, 2020

Cite this paper:
Ali Jebelli, Arezoo Mahabadi, Mustapha C. E. Yagoub and Hicham Chaoui. Magnetic Force Calculation between Magnets and Coils. International Journal of Physics. 2020; 8(2):71-80. doi: 10.12691/ijp-8-2-5

Abstract

Applied magnetism has a wide range of applications in technology and industry. A significant magnetic force can be applied between two parts without any contact using coils and creating a magnetic field in the environment. It is also possible to strengthen the created magnetic force by placing different cores in the coil. The purpose of this research was to calculate the force between the coil and the coaxial magnet. In this system, a core with high permeability was considered for the coil. On the other hand, the distance between the coil and the magnet is such that when the coil is off, the effect between the coil and the magnet can be considered zero. The magnetic field produced by the magnet was also determined. Lorentz’s force and potential theory was used to calculate the magnetic field and force. Note that the magnetic force between the coil and the magnet was only in the direction of the coil axis.

Keywords:
magnetic field magnetic force coil magnet coaxial magnet MATLAB

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Ravaud, R., Lemarquand, G., Babic, S., Lemarquand, V., and Akyel, C, “Cylindrical magnets and coils: Fields, forces, and inductances,” IEEE Transactions on Magnetics, 46(9). 3585-3590.‏ Sept. 2010.
 
[2]  Suresh, V., K. Gopperundevi, V., Dr. Abudhahir, A., Antonysamy, R., Muthukkutti, K. "Simple Algorithm for the Magnetic Field Computation in Bobbin Coil Arrangement," International Journal of Innovative Research in Computer and Communication Engineering, 2(1). March 2014
 
[3]  Zhang, Y., Leng, Y., Liu, J., & Tan, D. "Comparison of Magnetic Force Calculation on Permanent Magnets with Models of Equivalent Magnetic Charge and Magnetizing Current." Journal of Magnetics, 24(3). 392-401. Sept. 2019.‏
 
[4]  Babic, S., C. Akyel, and N. Boudjada, "The simplest formulas for self-inductance, mutual inductance and magnetic force of coaxial cylindrical magnets and thin coils," in Recent Researches in Circuits and Systems, WSEAS Press, 44-48.‏
 
[5]  Shiri, A., M.R.A. Pahlavani, and A. Shoulaie, "A new and fast procedure for calculation of the magnetic forces between cylindrical coils," International Review of Electrical Engineering, 4(5). 1053-1060. Sept 2009.
 
[6]  Ciric, I. R., "New models for current distributions and scalar potential formulations of magnetic field problems," Journal of applied physics, 61(8). 2709-2717. May 1987
 
[7]  Ebrahimi, N., P. Schimpf, and A. Jafari, "Design optimization of a solenoid-based electromagnetic soft actuator with permanent magnet core," Sensors and Actuators A: Physical, 248. 276-285.‏ Dec 2018.
 
[8]  Lemarquand, Guy, Lemarquand, V., Babic, S., and Akyel, C. "Magnetic field created by thin wall solenoids and axially magnetized cylindrical permanent magnets." In Progress In Electromagnetics Research Symposium, Progress In Electromagnetics Research. 614-618.
 
[9]  Robertson, W., B. Cazzolato, and A. Zander, "Axial force between a thick coil and a cylindrical permanent magnet: Optimizing the geometry of an electromagnetic actuator," IEEE transactions on magnetics, 48(9). 2479-2487. Sept 2012.‏
 
[10]  Di Barba, Paolo and Wiak, Slawomir, MEMS: Field Models and Optimal Design, Springer, Cham Switzerland, 2020.
 
[11]  Pozar, D.M., Microwave Engineering. 3rd Ed., Wiley, Hoboken 2006.
 
[12]  Nayfeh, M.H., and M.K. Brussel, Electricity and magnetism. Courier Dover Publications, Mineola, 2015.‏
 
[13]  Cheng, D.K., Field and wave electromagnetics. Addison-Wesley, Boston, 1989.
 
[14]  Naqvi, Q. A., and M. Zubair, "On cylindrical model of electrostatic potential in fractional dimensional space," Optik, 126(7), 3243-3247. 2016.
 
[15]  Abramowitz, M., and I.A. Stegun, eds. Handbook of mathematical functions with formulas, graphs, and mathematical tables. US Government printing office, Washington, D.C., 1948.
 
[16]  Gysen, B. L. J., Meessen, K. J., Paulides, J. J. H., & Lomonova, E. A. "General formulation of the electromagnetic field distribution in machines and devices using Fourier analysis." IEEE Transactions on Magnetics, 46(1). 39-52.‏ Dec 2009.
 
[17]  T. Lubin, K. Berger, and A. Rezzoug, "Inductance and Force Calculation for Axisymmetric Coil Systems Including an Iron Core of Finite Length," Progress In Electromagnetics Research B, 41, 377-396. 2012.
 
[18]  Elbaa, M., Berger, K., Douine, B., Halit, M., & Bentridi, S. E. "Analytical modeling of an inductor in a magnetic circuit for pulsed field magnetization of HTS bulks." IEEE Transactions on Applied Superconductivity, 28(4). 1-6. 2018.‏
 
[19]  Barczynski, K., Aulanier, G., Masson, S., & Wheatland, M. S. "Flare Reconnection-driven Magnetic Field and Lorentz Force Variations at the Sun’s Surface." The Astrophysical Journal, 877(2). May 2019.