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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2016-08-30
Calculation of Force Between Two Ring Magnets Using Adaptive Monte Carlo Technique with Experimental Verification
By
Tapan Santra,

    Dr. Tapan Santra

    Department of Electrical Engineering

    Alipurduar Government Engineering & Management College

    India

    Homepage

Debabrata Roy,

    Prof. Debabrata Roy

    Electrical Engineering Department

    Indian Institute of Engineering Science & Technology

    India

    Homepage

Sotoshi Yamada

    Prof. Sotoshi Yamada

    Division of Biological Measurement and Application, Institute of Nature and Environmental Technology (K-INET)

    Kanazawa University

    Japan

    Homepage

Progress In Electromagnetics Research M, Vol. 49, 181-193, 2016
doi:10.2528/PIERM16052101 | Google Scholar

Abstract
This paper represents a new simple technique to calculate force between two ring magnets using adaptive Monte Carlo integration technique. Elementary magnetic force is calculated by discretizing the pole faces of the passive magnets into tiny surfaces. To obtain the resultant force this elementary force equation is integrated over the dimensions of the ring magnets, which incur a multidimensional integration with complicated integral function. This multidimensional integration is solved using adaptive Monte Carlo technique considering singularity treatment and importance sampling. This method is advantageous over existing analytical or quasi analytical methods regarding singularity treatment and computational burden. It is more flexible, especially for using in digital computer. The result of the proposed technique is verified with finite element method and also validated by laboratory experiment. It is observed that the proposed result matches very well with the practical test result, particularly if self demagnetization is considered. So taking into account of simplicity, less computational burden and usefulness, the proposed method may be an alternative choice for magnetic force calculation.
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Citation
Tapan Santra, Debabrata Roy, and Sotoshi Yamada, "Calculation of Force Between Two Ring Magnets Using Adaptive Monte Carlo Technique with Experimental Verification," Progress In Electromagnetics Research M, Vol. 49, 181-193, 2016.
doi:10.2528/PIERM16052101
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