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Updated: Mar 8, 2026

Optimization, Test and Diagnostics of Miniaturized Hall Thrusters
Published on: February 16, 2019
Non-invasive Hall current distribution measurement in a Hall effect thruster
Carl R Mullins1, Casey C Farnell2, Cody C Farnell2
1Mechanical Engineering, Colorado State University, Fort Collins, Colorado 80523, USA.
This study introduces a novel method to map Hall current density in closed drift thrusters using magnetic field measurements and inverse problem solving. This technique accurately visualizes current distributions and breathing mode frequencies.
Area of Science:
- Plasma Physics
- Electric Propulsion
- Applied Electromagnetics
Background:
- Hall thrusters are crucial for space propulsion.
- Understanding Hall current density distribution is key to optimizing performance.
- Previous methods for measuring current density are often invasive or lack spatial resolution.
Purpose of the Study:
- To develop a non-invasive method for determining Hall current density distribution in closed drift thrusters.
- To utilize remote magnetic field measurements and inverse problem solving for current density mapping.
- To validate the method by comparing results with known thruster behavior.
Main Methods:
- Employing an array of eight tunneling magnetoresistive (TMR) sensors for high-sensitivity magnetic field measurements.
- Positioning the sensor array outside the thruster channel to measure induced magnetic fields.
- Applying Tikhonov regularization to solve the inverse problem for current density distribution.
- Analyzing temporal variations and calculating ratios of Hall current to discharge current.
Main Results:
- Successfully determined Hall current density distributions as a function of time using contour plots.
- Measured Hall current to discharge current ratios between 6.1 and 7.3 across various operating powers (1.3 kW to 2.2 kW).
- Identified a breathing mode frequency of 24 kHz at 1.5 kW, consistent with discharge current measurements.
Conclusions:
- The developed remote magnetic field measurement and inverse problem solving technique effectively determines Hall current density distribution.
- The method provides valuable insights into thruster dynamics, including breathing mode frequencies.
- This non-invasive approach offers a significant advancement for Hall thruster research and development.
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