The magnetic field about a three-dimensional block neodymium magnet

2021 ◽  
Vol 62 ◽  
pp. 386-405
Author(s):  
Graham John Weir ◽  
George Chisholm ◽  
Jerome Leveneur
Keyword(s):  
Magnetic Field ◽  
Permanent Magnets ◽  
Hard Disk Drives ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Observation Point ◽  
Magnetization Direction ◽  
Potential Approach ◽  
Neodymium Magnet ◽  
The Magnetic Field

Neodymium magnets were independently discovered in 1984 by General Motors and Sumitomo. Today, they are the strongest type of permanent magnets commercially available. They are the most widely used industrial magnets with many applications, including in hard disk drives, cordless tools and magnetic fasteners. We use a vector potential approach, rather than the more usual magnetic potential approach, to derive the three-dimensional (3D) magnetic field for a neodymium magnet, assuming an idealized block geometry and uniform magnetization. For each field or observation point, the 3D solution involves 24 nondimensional quantities, arising from the eight vertex positions of the magnet and the three components of the magnetic field. The only unknown in the model is the value of magnetization, with all other model quantities defined in terms of field position and magnet location. The longitudinal magnetic field component in the direction of magnetization is bounded everywhere, but discontinuous across the magnet faces parallel to the magnetization direction. The transverse magnetic fields are logarithmically unbounded on approaching a vertex of the magnet.   doi:10.1017/S1446181120000097

The Deflection Magnet Design for PKU Energetic Particle Instrument

2020 ◽  
Author(s):  
Weihong Shi ◽  
Xiangqian Yu ◽  
Yongfu Wang ◽  
Linghua Wang ◽  
Xin Huang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Energetic Particle ◽  
Permanent Magnets ◽  
Interplanetary Space ◽  
Three Dimensional ◽  
Good Time ◽  
Electrons And Ions ◽  
Peking University ◽  
Dimensional Distribution ◽  
The Magnetic Field

<p>The Energetic Particle Instrument (EPI), proposed by Peking University for a L1 mission, is designed to provide the three-dimensional distribution of suprathermal electrons and ions with good time, energy and angular resolutions in the interplanetary space, respectively, at energies from 20 keV to 1 MeV and from 20 keV to 11 MeV.  The EPI consists of four dual-double-ended foil/magnet semi-conductor telescopes, which cleanly separate electrons in the energy range from 20 to 400 keV and ions from 20 keV to 6 MeV.</p><p>The magnet of semi-conductor telescopes consists of four type 677H rare earth permanent magnets and a soft iron frame. Due to the high saturation polarization and high magnetic anisotropy of the Nd<sub>2</sub>Fe<sub>14</sub>B strongly magnetic matrix phase, this system can make the magnetic field strong enough to make the electrons deflected.</p><p>A frame made of iron-cobalt alloy VACOFLUX 50 will be able to combine two pairs of magnets and cause the magnetic field to decay rapidly in the far field. In this way, the two air gaps in the system can simultaneously provide a deflecting magnetic field for a pair of anti-parallel sensor systems.</p>

scholarly journals Steering Algorithm for a Flexible Microrobot to Enhance Guidewire Control in a Coronary Angioplasty Application

Micromachines ◽  
2018 ◽  
Vol 9 (12) ◽  
pp. 617 ◽  
Author(s):  
Ali Kafash Hoshiar ◽  
Sungwoong Jeon ◽  
Kangho Kim ◽  
Seungmin Lee ◽  
Jin-young Kim ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Permanent Magnets ◽  
Three Dimensional ◽  
Coronary Intervention ◽  
Molding Method ◽  
Proposed Model ◽  
Percutaneous Coronary ◽  
Identification Approach ◽  
The Right ◽  
The Relationship

Magnetically driven microrobots have been widely studied for various biomedical applications in the past decade. An important application of these biomedical microrobots is heart disease treatment. In intravascular treatments, a particular challenge is the submillimeter-sized guidewire steering; this requires a new microrobotic approach. In this study, a flexible microrobot was fabricated by the replica molding method, which consists of three parts: (1) a flexible polydimethylsiloxane (PDMS) body, (2) two permanent magnets, and (3) a micro-spring connector. A mathematical model was developed to describe the relationship between the magnetic field and the deformation. A system identification approach and an algorithm were proposed for steering. The microrobot was fabricated, and the models for steering were experimentally validated under a magnetic field intensity of 15 mT. Limitations to control were identified, and the microrobot was steered in an arbitrary path using the proposed model. Furthermore, the flexible microrobot was steered using the guidewire within a three-dimensional (3D) transparent phantom of the right coronary artery filled with water, to show the potential application in a realistic environment. The flexible microrobot presented here showed promising results for enhancing guidewire steering in percutaneous coronary intervention (PCI).

Three-Dimensional Analytical Field Calculation of Pyramidal-Frustum Shaped Permanent Magnets

2009 ◽  
Vol 45 (10) ◽  
pp. 4628-4631 ◽  
Author(s):  
J.L.G. Janssen ◽  
J. Paulides ◽  
E.A. Lomonova
Keyword(s):  
Permanent Magnets ◽  
Three Dimensional ◽  
Field Calculation

Numerical Analysis of Electromagnetic Field of Solid Rotor Asynchronous Permanent Magnetic Coupling by Finite Element Method

2008 ◽  
Vol 575-578 ◽  
pp. 1376-1381 ◽  
Author(s):  
Chao Jun Yang ◽  
Quan Wen Li ◽  
Hong Liang Ma ◽  
Sheng Fa Jiang
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Electromagnetic Induction ◽  
Permanent Magnets ◽  
Magnetic Coupling ◽  
Analytic Method ◽  
Field Calculation ◽  
New Type ◽  
Transmission Capability ◽  
The Magnetic Field

A new-type of solid rotor asynchronous magnetic coupling which works on the principle of electromagnetic induction is researched by ourselves. This kind of asynchronous magnetic coupling can solve the problem effectively that the permanent magnets on its inner rotor is demagnetized if its temperature is too high, because its inner rotor need not the permanent magnets. in order to study the transmission capability of the new-type magnetic coupling, its magnetic field should be analyzed. Because of its magnetic field variety, it is extremely complicated and a precision result is difficult to be got by the analytic method of the magnetic field calculation. Here the software ANSYS FEM is used to analyze its magnetic field. And some formulas were deduced and used to calculate its torque. The experimental and calculational results indicate that this design is practicable.

scholarly journals Development of a Gyrokinetic Particle-in-Cell Code for Whole-Volume Modeling of Stellarators

Plasma ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 179-200 ◽  
Author(s):  
Toseo Moritaka ◽  
Robert Hager ◽  
Michael Cole ◽  
Samuel Lazerson ◽  
Choong-Seock Chang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Three Dimensional ◽  
Zonal Flow ◽  
Field Calculation ◽  
Edge Region ◽  
Particle In Cell ◽  
Benchmark Tests ◽  
Volume Modeling ◽  
Field Lines ◽  
Initial Results

We present initial results in the development of a gyrokinetic particle-in-cell code for the whole-volume modeling of stellarators. This is achieved through two modifications to the X-point Gyrokinetic Code (XGC), originally developed for tokamaks. One is an extension to three-dimensional geometries with an interface to Variational Moments Equilibrium Code (VMEC) data. The other is a connection between core and edge regions that have quite different field-line structures. The VMEC equilibrium is smoothly extended to the edge region by using a virtual casing method. Non-axisymmetric triangular meshes in which triangle nodes follow magnetic field lines in the toroidal direction are generated for field calculation using a finite-element method in the entire region of the extended VMEC equilibrium. These schemes are validated by basic benchmark tests relevant to each part of the calculation cycle, that is, particle push, particle-mesh interpolation, and field solver in a magnetic field equilibrium of Large Helical Device including the edge region. The developed code also demonstrates collisionless damping of geodesic acoustic modes and steady states with residual zonal flow in the core region.

Study on Magnetic Field for Navigation of Articulated Needle

2012 ◽  
Vol 152-154 ◽  
pp. 952-957
Author(s):  
Hua Fang Huang ◽  
Yi Zhong Wang ◽  
Zong Guo Zhou ◽  
Yong Hua Chen
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Flux Density ◽  
Permanent Magnets ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Magnetic Flux Density ◽  
Variable Direction ◽  
The Magnetic Field ◽  
Three Dimensional Space

When the magnetic articulated needle is inserting, the magnetic field which can produce the magnetic force of variable direction is required in order to implement the magnetic navigation in three-dimensional space. The paper puts forward a method for generating three-dimensional magnetic field based on the rotaion and translation of multiple permanent magnets. In this method, multiple permanent magnets form a circumference array. Every permanent magnet can rotate around the spin axis of itself in the array plane and move along the direction vertical to the array plane. Thus, in the array center, a magnetic fied which can produce the uniform magnetic flux density is obtained. The direction of magnetic fied is controllable in three-dimensional space and the magnitude of magnetic flux density is variable in a certain range. The simulations by ANSYS verify the feasibility of the proposed method.

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