Abstract
Recently, permanent magnets have been widely used in the design of a number of machines. The article proposes a method for determining the magnetization of permanent magnets using a known magnetic field pattern. The method improves design efficiency and is based on solving a poorly conditioned SLAE, using regularization by the Tikhonov. The matrix of SLAE coefficients is based on boundary integral equations using scalar potentials. An algorithm using parallel computing and SIMD technology has been developed to reduce the time to solve the inverse problem when performing the most time-consuming operations. The considered method of solving the inverse problem is implemented in the form of a computer program in the C# programming language, which allows performing calculations in single-threaded, parallel mode and parallel mode using SIMD technology. As an example, an electromagnetic system composed of six permanent magnets mounted in a row on a ferromagnetic plate is considered. The program simulates the measurement process, calculates the direct problem and determines the magnetic induction at the points in the air gap, then an error is introduced into the «measurement results» and the inverse problem is solved to determine the magnetization of permanent magnets. Numerical experiments have been performed to evaluate the advantages of parallel implementation using SIMD technology and the capabilities of modern multicore processors. The parallelization of calculations and SIMD does not affect the accuracy of the result obtained.
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Balaban, A.L., Denisov, P.A., Grechikhin, V.V., Yufanova, Y.V. (2023). Application of Parallel Calculations and SIMD in Determining the Magnetization of Permanent Magnets. In: Radionov, A.A., Gasiyarov, V.R. (eds) Proceedings of the 8th International Conference on Industrial Engineering. ICIE 2022. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-14125-6_13
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