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Sensors 2018, 18(3), 847; doi:10.3390/s18030847

Research on the Factors Influencing the Measurement Errors of the Discrete Rogowski Coil

This paper is an expanded version of our paper published in Sun, C.; Yan, J.; Geng, Y.; Zhang, K.; Xu, M.; Liu, J. Research on a novel current transducer based on discrete Rogowski coils. In Proceedings of International Conference on Condition Monitoring and Diagnosis, Xi’an, China, 25–28 September 2016; pp. 798–801.
State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an 710049, China
Author to whom correspondence should be addressed.
Received: 22 January 2018 / Revised: 8 March 2018 / Accepted: 9 March 2018 / Published: 13 March 2018
(This article belongs to the Special Issue Magnetic Sensors)


An innovative array of magnetic coils (the discrete Rogowski coil—RC) with the advantages of flexible structure, miniaturization and mass producibility is investigated. First, the mutual inductance between the discrete RC and circular and rectangular conductors are calculated using the magnetic vector potential (MVP) method. The results are found to be consistent with those calculated using the finite element method, but the MVP method is simpler and more practical. Then, the influence of conductor section parameters, inclination, and eccentricity on the accuracy of the discrete RC is calculated to provide a reference. Studying the influence of an external current on the discrete RC’s interference error reveals optimal values for length, winding density, and position arrangement of the solenoids. It has also found that eccentricity and interference errors decreasing with increasing number of solenoids. Finally, a discrete RC prototype is devised and manufactured. The experimental results show consistent output characteristics, with the calculated sensitivity and mutual inductance of the discrete RC being very close to the experimental results. The influence of an external conductor on the measurement of the discrete RC is analyzed experimentally, and the results show that interference from an external current decreases with increasing distance between the external and measured conductors. View Full-Text
Keywords: discrete Rogowski coil; mutual inductance; magnetic vector potential; interference error; eccentricity error discrete Rogowski coil; mutual inductance; magnetic vector potential; interference error; eccentricity error

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Xu, M.; Yan, J.; Geng, Y.; Zhang, K.; Sun, C. Research on the Factors Influencing the Measurement Errors of the Discrete Rogowski Coil. Sensors 2018, 18, 847.

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