Selected previous research

Planar Electromagnetic Actuators and MEMS Force Metrology

Closed-form design rules for high-force, high-stiffness, and high-bandwidth planar actuation.

Postdoctoral research · UT Dallas · Completed and published

Composite showing a planar electromagnetic actuator, MEMS force sensor, and force profiles

Project overview

This project established analytical design rules for improving the force density, trapping stiffness, and achievable bandwidth of planar electromagnetic actuators used in levitated precision stages and untethered micro-robotic systems.

Closed-form expressions connected actuator performance with coil pitch, conductor geometry, magnet dimensions, magnet position, magnetization, and current. A custom MATLAB numerical model and a feedback-controlled MEMS force sensor were used for validation.

Why the work mattered

The natural frequency and realistic closed-loop bandwidth of a levitated electromagnetic platform depend strongly on trapping stiffness relative to moving mass. Optimizing absolute force alone is insufficient; the relevant metrics are force and stiffness per unit moving volume.

Technical approach

  • Closed-form electromagnetic field, force, and stiffness derivation
  • Optimization of magnet dimensions, coil pitch, and separation
  • Magnetic-array scaling strategies
  • Custom MATLAB-based numerical verification
  • Feedback-controlled MEMS force measurement
  • Experimental comparison across geometries

Selected results

100×Higher force per unit volume for a tenfold reduction in coil pitch.
1000×Higher trapping stiffness per unit volume for the same pitch reduction.
<15%Maximum model–experiment discrepancy.
4 nNFeedback force-measurement resolution of the MEMS sensor.
Planar coil interacting with a magnet attached to a MEMS force sensor, with measured and modeled force plots
Optimization and validation of planar electromagnetic actuation. The panels show the actuator–force-sensor arrangement, the MEMS force transducer, and measured and modeled periodic force profiles.

Research leadership and contribution

Dr. Singh independently conceived and led the analytical, numerical, and experimental development of this project during his postdoctoral research. Building on earlier electromagnetic modeling developed with Prof. G. R. Jayanth, he derived complete closed-form design relationships for planar electromagnetic actuators, identified geometries that maximize force and trapping stiffness per unit volume, developed the MATLAB-based numerical model, and designed and conducted the experimental validation using a MEMS force sensor. Diyako Dadkhah assisted with force-sensor operation and measurements, and Prof. S. O. Reza Moheimani provided guidance and supervision.

Connections to current PIC Lab research

The scaling laws support higher-stiffness electromagnetic traps for contactless positioning. Miniaturized high-stiffness actuators may support replicated probe systems for parallel AFM, while the feedback force-measurement framework informs calibrated mechanical stimulation in mechanobiology.

Publication

K. S. Vikrant, D. Dadkhah, and S. O. R. Moheimani, “Optimization of Design Parameters to Improve Performance of a Planar Electromagnetic Actuator,” IEEE Transactions on Magnetics, 60(9), 8000610, 2024.

Credits

Research conception and leadershipDr. Vikrant Kumar Singh
Experimental assistanceDiyako Dadkhah
Guidance and supervisionProf. S. O. Reza Moheimani
InstitutionUniversity of Texas at Dallas