Journal Article10.1109/TMAG.2010.2049026
Cylindrical Magnets and Coils: Fields, Forces, and Inductances
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TL;DR: In this paper, a synthesis of analytical calculations of magnetic parameters (field, force, torque, stiffness) in cylindrical magnets and coils is presented, which can be implemented in Mathematica or Matlab and are available online.
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Abstract: This paper presents a synthesis of analytical calculations of magnetic parameters (field, force, torque, stiffness) in cylindrical magnets and coils. By using the equivalence between the amperian current model and the coulombian model of a magnet, we show that a thin coil or a cylindrical magnet axially magnetized have the same mathematical model. Consequently, we present first the analytical expressions of the magnetic field produced by either a thin coil or a ring permanent magnet whose polarization is axial, thus completing similar calculations already published in the scientific literature. Then, this paper deals with the analytical calculation of the force and the stiffness between thin coils or ring permanent magnets axially magnetized. Such configurations can also be modeled with the same mathematical approach. Finally, this paper presents an analytical model of the mutual inductance between two thin coils in air. Throughout this paper, we emphasize why the equivalence between the coulombian and the amperian current models is useful for studying thin coils or ring permanent magnets. All our analytical expressions are based on elliptic integrals but do not require further numerical treatments. These expressions can be implemented in Mathematica or Matlab and are available online. All our models have been compared to previous analytical and semianalytical models. In addition, these models have been compared to the finite-element method. The computational cost of our analytical model is very low, and we find a very good agreement between our analytical model and the other approaches presented in this paper.
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Citations
Analysis of Nonlinear Dynamics of Permanent Magnet Magnetic Contactor via Novel Computationally Efficient Analytical Method Considering Stray and Leakage Fluxes
Nikita Gabdullin,Jong-Suk Ro +1 more
TL;DR: A modified version of a recently proposed nonlinear transient path energy method (NT-PEM) is proposed as an analytical alternative to FEA, and a new topology for nonlinear dynamic magnetic equivalent circuit (ND-MEC) is presented with a methodology for accurate evaluation of stray and leakage flux path parameters.
Remote Temperature Distribution Sensing Using Permanent Magnets
Yi Chen,Oksana Guba,Carlton F. Brooks,Christine Cardinal Roberts,Bart G. van Bloemen Waanders,Martin B. Nemer +5 more
TL;DR: In this article, a unique sensing method for measuring the temperature of multiple closely spaced points is proposed using permanent magnets and several three-axis magnetic field sensors, which is essential for applications in enclosed vessels, where feedthroughs or optical access points are not possible.
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Experiments and models about the force between permanent magnets: asymptotic analysis of a difficult problem
Abstract: We propose a simple experiment, which allows students to explore quantitatively the magnetic interaction between neodymium cylindrical magnets. The experiment employs a precision digital balance, two screws with known thread pitch and two transparent tubes to measure the repulsive force between two magnets as a function of their distance. Different measurements are performed, focusing on the behavior of the interaction force at short and long distances and the role of the magnets’ aspect ratio. We discuss the comparison between theoretical expectations resulting from conceptually simple approximate models and experimental results. The experiments employ inexpensive materials and address a relevant topic in the physics curriculum. Thus, they are appropriate for the undergraduate physics laboratory, for advanced high school students, and in the context of teacher education and in-service training to enhance students’ knowledge of magnetism.
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A New Approximation for Calculating the Attraction Force in Cylindrical Permanent Magnets Arrays and Cylindrical Linear Single-Axis-Actuator
TL;DR: In this paper, a new accurate approximation using integral expressions for evaluating the magnetic force between cylindrical permanent magnet arrays is proposed using Coulombian model, which can be controlled by regulating the value of elementary cuboidal permanent magnets.
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Mutual inductance calculation for rectangular and circular coils with parallel axes
Dongze Yu,Baichao Chen,Yao Luo,Xinglong Zhou,Yue Yu,Xinyi Yang,Yike Xiang +6 more
TL;DR: Mutual inductance calculation for rectangular and circular coils with parallel axes provides accurate and efficient solutions for various coil positions, including partial and full axial overlap.
6
References
FASTHENRY: a multipole-accelerated 3-D inductance extraction program
TL;DR: Results from examples are given to demonstrate that the multipole acceleration can reduce required computation time and memory by more than an order of magnitude for realistic integrated circuit packaging problems.
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Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 2: Radial Magnetization
TL;DR: In this paper, the Coulombian model was used to calculate the force and stiffness between two ring permanent magnets whose polarization is axial, and the exact position of the rings for which the force is the strongest depends on the air gap dimension.
Inductance Calculations for Noncoaxial Coils Using Bessel Functions
TL;DR: In this paper, a relatively simple and general method for calculating the mutual inductance and self-inductance of both coaxial and non-coaxial cylindrical coils is given.
189
Mutual Inductance Calculation for Non-Coaxial Circular Air Coils with Parallel Axes
TL;DR: In this article, a simple and simple method for calculating the mutual inductance between two non-coaxial circular coils with parallel axes is presented. But it is not suitable for all possible circular coils such as coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes) and circular filamentary coils.
Magnetic Force Calculation Between Thin Coaxial Circular Coils in Air
Slobodan Babic,Cevdet Akyel +1 more
TL;DR: In this article, the authors present new and fast procedures for calculating magnetic forces between thin coaxial circular coaxial coils in air, expressed in semianalytical form in terms of the complete elliptical integrals of the first and second kind, Heuman's Lambda function, and a term that must be solved numerically.