Open-Loop Control of Electrically Conductive Materials in an Oscillating Magnetic Field

Control of objects using remotely generated magnetic fields has established itself as a viable option for 3-D position control, though the objects being manipulated to date have largely been limited to soft and hard-magnetic objects that react to a static magnetic field. This limits the application...

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Published inIEEE transactions on robotics Vol. 41; pp. 3575 - 3589
Main Authors Stewart, Seth, Pawelski, Joseph, Ward, Steve, Petruska, Andrew J.
Format Journal Article
LanguageEnglish
Published IEEE 2025
Subjects
Eddy currents
Electromagnetic forces
electromagnetic induction
Magnetic fields
Magnetic levitation
Magnetic moments
Magnetosphere
Magnetostatics
Mathematical models
Position control
remote control
Three-dimensional displays
Vectors
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Abstract Control of objects using remotely generated magnetic fields has established itself as a viable option for 3-D position control, though the objects being manipulated to date have largely been limited to soft and hard-magnetic objects that react to a static magnetic field. This limits the application to a small subset of materials. This work presents the first analytically derived model for 3-D position control of any electrically conductive material subject to a time-varying magnetic field. By leveraging the induced eddy current and subsequent induced dipole, this model shows that conductive materials behave equivalently to diamagnetic materials and are, therefore, not subject to the limitations of the Earnshaw's theorem, making stable, open-loop levitation possible. This is demonstrated by open-loop position control of a semibuoyant aluminum sphere.
AbstractList Control of objects using remotely generated magnetic fields has established itself as a viable option for 3-D position control, though the objects being manipulated to date have largely been limited to soft and hard-magnetic objects that react to a static magnetic field. This limits the application to a small subset of materials. This work presents the first analytically derived model for 3-D position control of any electrically conductive material subject to a time-varying magnetic field. By leveraging the induced eddy current and subsequent induced dipole, this model shows that conductive materials behave equivalently to diamagnetic materials and are, therefore, not subject to the limitations of the Earnshaw's theorem, making stable, open-loop levitation possible. This is demonstrated by open-loop position control of a semibuoyant aluminum sphere.
Author Ward, Steve
Stewart, Seth
Petruska, Andrew J.
Pawelski, Joseph
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Snippet Control of objects using remotely generated magnetic fields has established itself as a viable option for 3-D position control, though the objects being...
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SubjectTerms Eddy currents
Electromagnetic forces
electromagnetic induction
Magnetic fields
Magnetic levitation
Magnetic moments
Magnetosphere
Magnetostatics
Mathematical models
Position control
remote control
Three-dimensional displays
Vectors
Title Open-Loop Control of Electrically Conductive Materials in an Oscillating Magnetic Field
URI https://ieeexplore.ieee.org/document/10969610
Volume 41
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