2004
DOI: 10.1109/tasc.2004.830884
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An Optimal Design of Coaxial Coils With Constraints on Inner and Outer Multipole Magnetic Fields

Abstract: An optimal design method for magnets with double-layered coaxial coils to generate a uniform central magnetic field and a small stray magnetic field has been proposed. To find the optimal current density distribution, we used linear programming with constraints on the multipole field strengths, computed with analytical formulae, of the central and stray fields. The final coil positions were optimized with a quasi-Newton method, again taking into account the inner and outer multipole field strengths.Index Terms… Show more

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Cited by 11 publications
(3 citation statements)
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“…Multi-coil design has been often used in the design of conventional magnets [56], and it is easily adapted to the present case. The method consists in solving the inverse problem solution posed by the decomposition of the magnet in a set of coils, and by the search of their optimal dimensions, positions, and currents that produce the desired field.…”
Section: An Optimized 2-d Designmentioning
confidence: 99%
“…Multi-coil design has been often used in the design of conventional magnets [56], and it is easily adapted to the present case. The method consists in solving the inverse problem solution posed by the decomposition of the magnet in a set of coils, and by the search of their optimal dimensions, positions, and currents that produce the desired field.…”
Section: An Optimized 2-d Designmentioning
confidence: 99%
“…This method has already been used to design superconducting magnets which generate a uniform central magnetic field [6]. The design procedure of matrix shim system, however, is more complicated than that of magnets generating uniform magnetic field.…”
Section: A Solenoid Coilsmentioning
confidence: 99%
“…In both regions the magnetic flux density satisfies Laplace's equation (1) Solutions in the inner region which are finite at the origin represented in the spherical polar coordinates and by expansion in series of associated Legendre functions and powers of are well known [6]: (2) where the expansion coefficients are the strengths of the harmonics. In the outer region, (1) can also be solved as finite at infinity [7]:…”
Section: Expansion Of Stray Fieldsmentioning
confidence: 99%