Study and Analysis of Magnetic Field Homogeneity of Square and Circular Helmholtz Coil Pairs: A Taylor Series Approximation

Álvarez, Andrés Fernando Restrepo; Franco-Mejía, Édinson; Pinedo-Jaramillo, Carlos Rafael

doi:10.1109/andescon.2012.27

Cited by 32 publications

(7 citation statements)

References 9 publications

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“…This was done to prevent the rapid re-orientation of permanent magnet dipoles within the cube chains, which would result in sudden and undesirable re-positions. The Helmholtz coils could produce static and rotating magnetic fields in 3D, but no significant magnetic gradients could be produced inside the system [4,23]. A digital camera (at 30 frames per second) was interfaced with MATLAB to record experiments and collect magnetic field settings throughout the experiments.…”

Section: Magnetic Field Generatormentioning

confidence: 99%

Coordinated Self-Assembly and Feedback Control of Distributed Magnetic Cuboid Robots

Rogowski,

Kararsiz,

Bhattacharjee

et al. 2023

Preprint

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Small-scale magnetic robots that can assemble, disassemble, and propel under globally applied magnetic fields can be versatile modular subunits for manufacturing and in vivo operations. This paper presents a magnetic cuboid robot that contains assembled cubes with encapsulated freely rotating permanent magnets. This minimalistic, scalable design enables the magnetic cubes to assemble under magnetic fields into a cube chain that can propel using pivot-walking locomotion. A vision-based closed-loop controller that modulates the cuboid robot's position and orientation during pivot walking is presented. The controller is simulated to navigate cuboid robots to user-selected goal locations. A BFS (Breadth-First Search) path-planning algorithm for obstacle avoidance is used to generate optimal paths for closed-loop pivot walking.Two physical workspaces are tested, one with a large free space and the other with a maze.Experiments and simulations demonstrate that magnetic cuboid robots can navigate in complex mazes and selectively self-assemble into cube chains while following the optimal path generated by the motion planner with visual feedback control.

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Section: Magnetic Field Generatormentioning

confidence: 99%

Coordinated Self-Assembly and Feedback Control of Distributed Magnetic Cuboid Robots

Rogowski,

Kararsiz,

Bhattacharjee

et al. 2023

Preprint

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“…Se puede demostrar que un radio de las espiras (R) de 0.48 m permite que la jaula de las dimensiones indicadas se encuentre dentro de un "cilindro" de uniformidad de campo mayor al 99 % [13][14][15][16].…”

Section: Determinación De La Configuración Del Generador: Sistema De Bobinas De Helmholtzunclassified

Design, Development and Characterization of an Extremely Lowfrequency Electromagnetic Fields Generator

Correa¹,

Naudi

Diliscia³

et al. 2021

AnAFA

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n this article we present the results of the design, development and characterization of an extremely low-frequency electromagnetic fields generator to carry out experiments with small animals. For the design of the exposure system, we took into account that its configuration should allow the application of an electromagnetic field that meets uniformity and field intensity criteria, while making it possible to observe, manipulate and locate the sample easily, a fact that imposes accessibility requirements. For the application of different electromagnetic fields exposure protocols in the future, the generator must allow calibrated and homogeneous emissions, under known exposure conditions. Results of the constructive process are presented, in which the proposed materials and methods are analyzed, as well as the system performance results.

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“…References [16] and [17] have employed a Helmholtz coil to produce spatial uniform magnetic fields. A basic Helmholtz coil consists of two identical single-turn coils placed symmetrically along a common axis in the area of interest.…”

Section: Related Workmentioning

confidence: 99%

“…The geometric structure of the coils is determined by solving a differential equation of magnetic flux density along the common axis of the coil. Reference [16] presents a detailed calculation of the basic Helmholtz coil structure based Biot-Savart law. Reference [17] summarizes the structures of Helmholtz coils with different number of turns and coil shapes.…”

Section: Related Workmentioning

confidence: 99%

Design algorithm of a uniform magnetic field transmitter intended for the wireless charging of electric vehicles

Huang

Hong

Bojarski

et al. 2014

2014 IEEE International Electric Vehicle Conference (IEVC)

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This paper proposes to use uniform magnetic fields for wireless electric vehicle charging in order to resolve the problem of positioning the receiver (on the vehicle) over the transmitter (on the parking spot). A novel funnel-shaped coil structure is introduced to generate uniform magnetic fields, together with a design algorithm for determining the geometric parameters of the coil structure. This algorithm can be applied to the design of uniform magnetic fields of any size. Results show that magnetic fields produced by our design have fairly good uniformity; more than 71% of the coil area has a uniform field with a maximum percentage difference of the vertical component of the magnetic below 10%. The uniformity of the example is validated with finite element analysis (FEA).

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Study and Analysis of Magnetic Field Homogeneity of Square and Circular Helmholtz Coil Pairs: A Taylor Series Approximation

Cited by 32 publications

References 9 publications

Coordinated Self-Assembly and Feedback Control of Distributed Magnetic Cuboid Robots

Coordinated Self-Assembly and Feedback Control of Distributed Magnetic Cuboid Robots

Design, Development and Characterization of an Extremely Lowfrequency Electromagnetic Fields Generator

Design algorithm of a uniform magnetic field transmitter intended for the wireless charging of electric vehicles

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