A magnetic quadrupole from rectangular permanent magnets

Biswas, Bhaskar

doi:10.1016/j.nima.2009.03.223

Cited by 10 publications

(6 citation statements)

References 18 publications

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“…Progress in the recent decades of research and development of new magnetic materials [1] has led to an immensely broadened range of applications of permanent magnets [2]. Applications of permanent magnets include rotary machines performing electromechanical energy conversion [3], magnetic actuators [4], magnetic gears [5], nuclear-magnetic-resonance devices [6,7], beam-focusing instruments [8,9], and wigglers and undulators [10].…”

Section: Introductionmentioning

confidence: 99%

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Globally Optimal Segmentation of Permanent-Magnet Systems

et al. 2016

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Permanent-magnet systems are widely used for generation of magnetic fields with specific properties. The reciprocity theorem, an energy-equivalence principle in magnetostatics, can be employed to calculate the optimal remanent flux density of the permanent-magnet system, given any objective functional that is linear in the magnetic field. This approach, however, yields a continuously varying remanent flux density, while in practical applications, magnetic assemblies are realized by combining uniformly magnetized segments. The problem of determining the optimal shape of each of these segments remains unsolved. We show that the problem of optimal segmentation of a two-dimensional permanent-magnet assembly with respect to a linear objective functional can be reduced to the problem of piecewise linear approximation of a plane curve by perimeter maximization. Once the problem has been cast into this form, the globally optimal solution can be easily computed employing dynamic programming.

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Section: Introductionmentioning

confidence: 99%

“…Other optimization approaches rely on the analytical calculation of the magnetic field [6,9,13,14]. In some cases, it is possible to directly calculate the optimal solution based on analytical techniques.…”

Section: Introductionmentioning

confidence: 99%

Globally Optimal Segmentation of Permanent-Magnet Systems

et al. 2016

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“…Quadrupole magnets are used in the field of particle acceleration for the purpose of focusing beams of charged particles [22]. The following virtual remanence, corresponding to a quadrupole field, is defined over the square cavity shown in Fig.…”

Section: Quadrupole Magnet For Beam Focusingmentioning

confidence: 99%

Optimally Segmented Permanent Magnet Structures

et al. 2016

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We present an optimization approach which can be employed to calculate the globally optimal segmentation of a two-dimensional magnetic system into uniformly magnetized pieces. For each segment the algorithm calculates the optimal shape and the optimal direction of the remanent flux density vector, with respect to a linear objective functional. We illustrate the approach with results for magnet design problems from different areas, such as a permanent magnet electric motor, a beam focusing quadrupole magnet for particle accelerators and a rotary device for magnetic refrigeration.

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“…There is a large amount of quadrupole designs made with PMMs [32][33][34][35][36][37][38][39][40][41][42]. The main parameters for the quadrupoles of the Sirius storage ring are in Table 2.…”

Section: Quadrupolesmentioning

confidence: 99%