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CALCULATION OF FORCE BETWEEN TWO RING MAGNETS USING ADAPTIVE MONTE CARLO TECHNIQUE WITH EXPERIMENTAL VERIFICATION

By T. Santra, D. Roy, and S. Yamada

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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.

Citation:
T. Santra, D. Roy, and S. 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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