Related Experiment Video
Updated: Jan 25, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
Published on: September 30, 2019
Optimal Design of Angular Displacement Sensor with Shared Magnetic Field Based on the Magnetic Equivalent Loop
Pinggui Luo1, Qifu Tang2, Huan Jing3
1Engineering Research Center of Mechanical Testing Technology and Equipment, Ministry of Education, Chongqing University of Technology, Chongqing 400054, China. lpgsoul@2017.cqut.edu.cn.
A new magnetic equivalent loop method (MELM) simplifies designing angular displacement sensors. This approach reduces computational time and cost compared to traditional finite element methods, enabling efficient optimization.
Area of Science:
- Sensor Technology
- Electromagnetics
- Finite Element Analysis
Background:
- Angular displacement sensors with shared magnetic fields offer high accuracy and environmental adaptability.
- Optimizing the multi-pole, double-layer 3-D structure of these sensors using the time stepping finite element method (TSFEM) is computationally intensive and costly.
Purpose of the Study:
- To propose and validate a magnetic equivalent loop method (MELM) for simplifying the structural optimization of angular displacement sensors.
- To develop a mathematical model integrating mechanical parameters, winding coefficients, and input voltage for induced voltage calculation.
Main Methods:
- Developing a magnetic equivalent loop method (MELM) to model the sensor's magnetic field.
- Integrating sensor parameters (mechanical structure, winding coefficients, input voltage) into a mathematical model.
- Comparing MELM calculation results with time stepping finite element method (TSFEM) simulations.
- Fabricating a sensor prototype to experimentally validate the MELM's optimization effectiveness.
Main Results:
- The magnetic equivalent loop method (MELM) provides a simplified and economical approach to sensor design optimization.
- Calculations using the MELM show good agreement with TSFEM simulation results.
- Experimental validation confirms the effectiveness of the MELM for optimizing sensor performance.
Conclusions:
- The MELM is a viable and efficient alternative to TSFEM for the optimal design of angular displacement sensors.
- This method significantly reduces the time and cost associated with sensor development.
- The proposed method enhances the practical design process for high-accuracy angular displacement sensors.
Related Concept Videos
Magnetic Field Of A Current Loop
Force On A Current Loop In A Magnetic Field
Torque On A Current Loop In A Magnetic Field
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Magnetic Fields
A magnetic field is defined by the force that a charged particle experiences...
Angular Velocity and Displacement
Magnetic Field of a Solenoid
Consider a solenoid with 100 turns wrapped around a cylinder of...

