Optimal current shell approximation for solenoids of rectangular cross-section
The manipulation of magnetic objects using variable magnetic fields is a growing field of study with a variety of applications. Many magnetic manipulation systems use multiple electromagnets to generate magnetic fields. To control objects in real time, it is necessary to have a computationally effic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2020-09-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0011847 |
| Summary: | The manipulation of magnetic objects using variable magnetic fields is a growing field of study with a variety of applications. Many magnetic manipulation systems use multiple electromagnets to generate magnetic fields. To control objects in real time, it is necessary to have a computationally efficient method of calculating the field produced by each solenoid anywhere in space. This paper presents a procedure to replace a real cylindrical solenoid of rectangular cross section with infinitely thin shells and rings that generate an equivalent magnetic field. The best approximation for a real solenoid is determined by its physical characteristics. The field produced by these idealized shapes can be calculated expediently using elliptic integrals as can the field gradient and higher-order derivatives. We find that for most real solenoids, the error in the magnetic field approximation is at most 2.5% at a 50% offset and in most cases is much less. |
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| ISSN: | 2158-3226 |