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Sensors 2018, 18(2), 578; https://doi.org/10.3390/s18020578

Circular Array of Magnetic Sensors for Current Measurement: Analysis for Error Caused by Position of Conductor

School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China
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Received: 10 January 2018 / Revised: 6 February 2018 / Accepted: 10 February 2018 / Published: 14 February 2018
(This article belongs to the Special Issue Magnetic Sensors)
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Abstract

This paper analyzes the measurement error, caused by the position of the current-carrying conductor, of a circular array of magnetic sensors for current measurement. The circular array of magnetic sensors is an effective approach for AC or DC non-contact measurement, as it is low-cost, light-weight, has a large linear range, wide bandwidth, and low noise. Especially, it has been claimed that such structure has excellent reduction ability for errors caused by the position of the current-carrying conductor, crosstalk current interference, shape of the conduction cross-section, and the Earth’s magnetic field. However, the positions of the current-carrying conductor—including un-centeredness and un-perpendicularity—have not been analyzed in detail until now. In this paper, for the purpose of having minimum measurement error, a theoretical analysis has been proposed based on vector inner and exterior product. In the presented mathematical model of relative error, the un-center offset distance, the un-perpendicular angle, the radius of the circle, and the number of magnetic sensors are expressed in one equation. The comparison of the relative error caused by the position of the current-carrying conductor between four and eight sensors is conducted. Tunnel magnetoresistance (TMR) sensors are used in the experimental prototype to verify the mathematical model. The analysis results can be the reference to design the details of the circular array of magnetic sensors for current measurement in practical situations. View Full-Text
Keywords: circular array; current measurement; un-center; un-perpendicular; tunnel magnetoresistance sensors circular array; current measurement; un-center; un-perpendicular; tunnel magnetoresistance sensors
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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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Yu, H.; Qian, Z.; Liu, H.; Qu, J. Circular Array of Magnetic Sensors for Current Measurement: Analysis for Error Caused by Position of Conductor. Sensors 2018, 18, 578.

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