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Article information
2025 , Volume 30, ¹ 1, p.80-88
Royak M.E., Stupakov I.M., Burlakov V.S., Ishutin M.A., Pavlov S.A.
Possibility to reduce the number of measurements for design of volumetric magnetic field map
The article addresses ways to reconstruct a field map using a significantly fewer number of measurements (for example, using measurements on the surface of a volume), that will reduce full measurement time by an order of magnitude. Two approaches have been presented: the first one is based on the selection of the Neumann boundary conditions. The method of field reconstruction by a limited number of measurements uses the fact that there are no field sources and magnetic materials in the solenoid volume. Such restrictions allow reducing the problem to the solution of the Laplace equation. Boundary conditions for this problem are selected so that the solution to the problem has a minimal deviation from the measurement values at a given set of points. The second approach relies on the formula that can be obtained from the Stratton–Chu formula. To calculate the field inside the domain using this formula, the integral on the boundary of the domain must be calculated. Also, for both approaches, a field separation method can be used to improve obtained results. Computational experiments have shown that both proposed methods of field restoration enable a significant reduction in the number of measurements. Calculations for the second method are much simpler, but require uniform measurements over the entire boundary of the volume, while the f irst method does not impose fundamental restrictions on the location of measurements.
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Keywords: accelerator magnets, magnetic field, finite element method, boundary element method
doi: 10.25743/ICT.2025.30.1.008
Author(s):
Royak Mikhail Emmanuilovich
Dr. , Professor
Position: Professor
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20 Prospekt K. Marksa
Phone Office: (383) 346-27-76
E-mail: royak@ami.nstu.ru
SPIN-code: 4884-8317Stupakov Ilya Mikhailovich
PhD. , Associate Professor
Position: Associate Professor
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20 Prospekt K. Marksa
Phone Office: (383) 346-27-76
E-mail: istupakov@gmail.com
SPIN-code: 7553-1758Burlakov Vladimir Sergeevich
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20 Prospekt K. Marksa
Phone Office: (383) 346-27-76
E-mail: vladimir.boorlakov@gmail.com
Ishutin Mikhail Aleksandrovich
Position: Master student
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20 Prospekt K. Marksa
Phone Office: (383) 346-27-76
E-mail: pm93.ishutin@gmail.com
Pavlov Sergey Alekseevich
Position: Master student
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20 Prospekt K. Marksa
Phone Office: (383) 346-27-76
E-mail: sergopavlov000@gmail.com
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Bibliography link:
Royak M.E., Stupakov I.M., Burlakov V.S., Ishutin M.A., Pavlov S.A. Possibility to reduce the number of measurements for design of volumetric magnetic field map // Computational technologies. 2025. V. 30. ¹ 1. P. 80-88
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