Modeling eddy currents with boundary conditions by using Coulomb's law and the method of images

Lee, Kapjin; Park, Kyihwan

doi:10.1109/20.996020

Cited by 55 publications

(4 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As can be seen, all forces point to the right-hand side. In line with the concept of surface and linear charge density [5], it is possible to express the relevant electric intensities as: The electromagnetic force is the cross product of total current density and magnetic flux density. The force of the four unidirectional magnetic pole projections can be obtained as follows: When the thickness of the conductive plate is known, the triple integral becomes a double integral.…”

Section: 21mentioning

confidence: 99%

See 1 more Smart Citation

Evaluation of eddy current damper for vibration control of a frame structure

Reynolds

2019

J. Phys. Commun.

View full text Add to dashboard Cite

In this study, an eddy current damper (ECD) prototype model is presented. The ECD consists of three principal components: Neodymium Iron Boron (NdFeB) permanent magnets, a copper plate (conductive material) and an aluminium frame. The magnets have a rectangular design, and can be assembled with magnetic pole projection in either alternative or unidirectional orientations and in two orthogonal directions. The key merit of this type of ECD is its non-contact characteristic; thus there is a complete absence of mechanical friction. This study examines the use of this prototype damper when applied to suppress structural vibration in multi-storey frame structure. To effectively estimate the damping performance of the ECD, simple analytical calculations involving both infinite and finite boundaries are proposed and illustrated in this paper. These can be compared against the results of more sophisticated finite element analysis (FEA). The conductive material can be defined to move in two orthogonal directions. Therefore, based on the four magnet configurations and two directions of motion of conductive material, a total of eight models were created for analysis and validated by the proposed designed formule. It was found that analysis based on the method of images provides a satisfactory estimation of the damping force, similar to that estimated using the FE model. This study also includes experimental testing of a prototype ECD applied to suppress vibration within a six-storey aluminium frame structure. This testing shows that the prototype ECD is able to provide a significant level of damping with performance comparable to that of an ideal conventional linear viscous damper.

show abstract

Section: 21mentioning

confidence: 99%

“…Eddy current damping was also introduced to reduce rotational motion [5][6][7]. The induced electric field intensity relies on geometric boundary conditions.…”

Section: Introduction Of Eddy Current Damper (Ecd)mentioning

confidence: 99%

Evaluation of eddy current damper for vibration control of a frame structure

Reynolds

2019

J. Phys. Commun.

View full text Add to dashboard Cite

show abstract

“…To validate the torque computation using the magnetic fields from the DMP-Image, the computed torque for the electromagnetic system in Fig. 7(a) [13] where the geometries of the diagonally symmetric PM and EM pole-pairs are based on Design A in Table 1. In Fig.…”

Section: Numerical Validationmentioning

confidence: 99%

“…Since the SWM has more current inputs than the mechanical DOF, the actual current input vector u for a given torque is found by minimizing the input energy consumption subject to the desired torque constraint (13). Provided that the input currents are kept within limits, the optimal u can be solved using Lagrange multipliers.…”

Section: Torque -Current Relationship Of a Swmmentioning

confidence: 99%

Design of multi-DOF electromagnetic actuators using distributed multipole models and image method

Son

Bai

Lim

et al. 2010

JAE

View full text Add to dashboard Cite

Design and control of many electromagnetic actuators involve solving three dimensional (3D) magnetic fields of permanent magnets and/or electromagnets in the presence of magnetic conducting surfaces. This paper extends the distributed multipole (DMP) method, which offers compact but precise analysis for three dimensional magnetic fields in closed form, to account for the effects of magnetic conducting boundaries using the image method on the torque generated by electromagnetic actuators. We validate the proposed method referred to here as DMP-Image method by comparing the calculated torques against results computed by a finite element method (FEM). While two methods agree to within 5% in maximum torque, the DMP-image method takes less than 1% of the FEM computation time. Finally, we demonstrate the DMP-Image method to design a spherical motor in a class of multi-DOF actuators. While developed in the context of the multi-DOF actuators, the modeling methods presented in this paper are applicable to design of other PM-based actuators.

show abstract

Analytical and Experimental Study of Eddy Current Damper for Vibration Suppression in a Footbridge Structure

Reynolds

2017

Conference Proceedings of the Society for Experimental Mechanics Series

View full text Add to dashboard Cite

Modeling eddy currents with boundary conditions by using Coulomb's law and the method of images

Cited by 55 publications

References 8 publications

Evaluation of eddy current damper for vibration control of a frame structure

Evaluation of eddy current damper for vibration control of a frame structure

Design of multi-DOF electromagnetic actuators using distributed multipole models and image method

Analytical and Experimental Study of Eddy Current Damper for Vibration Suppression in a Footbridge Structure

Contact Info

Product

Resources

About