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Related Experiment Video

Updated: Oct 12, 2025

Magnetic Tweezers for the Measurement of Twist and Torque
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Strategy to Decrease the Angle Measurement Error Introduced by the Use of Circular Grating in Dynamic Torque

Yongbin Du1, Feng Yuan1, Zongze Jiang1

  • 1School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, China.

Sensors (Basel, Switzerland)
|November 27, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new error model for circular grating angle encoders to enhance measurement accuracy. The developed calibration and compensation methods significantly reduce angle measurement errors, improving precision in dynamic torque calibration systems.

Keywords:
circular gratingdynamic torque calibrationeccentricity errorerror compensationinclination error

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Area of Science:

  • Metrology
  • Mechanical Engineering
  • Instrumentation

Background:

  • Circular grating angle encoders are crucial for dynamic torque calibration systems.
  • Angle measurement errors in these encoders can impact system accuracy.
  • Existing methods may not fully address eccentricity and inclination errors.

Purpose of the Study:

  • To analyze sources of angle measurement error in circular gratings.
  • To develop an integrated error model accounting for eccentricity and inclination.
  • To propose effective calibration and compensation strategies for high-precision angle measurement.

Main Methods:

  • Analysis of circular grating error sources.
  • Development of eccentricity and inclination error models.
  • Combination of models into a total error model.
  • Simulation studies to determine error significance conditions.
  • Implementation of a progressive error compensation function (first and second harmonic fitting).

Main Results:

  • A comprehensive error model for circular grating angle encoders was established.
  • Simulation identified conditions for ignoring eccentricity or inclination errors.
  • The proposed calibration and compensation method reduced peak-to-peak angle measurement error by approximately 93.76% for a single reading head.
  • Compensated error approached the accuracy of double reading heads.

Conclusions:

  • The developed error model and compensation method effectively reduce angle measurement errors in single reading head circular grating encoders.
  • High-precision angle measurements are achievable using the proposed techniques.
  • The findings are valuable for improving dynamic torque calibration systems.