The theoretical output of a ring core fluxgate sensor

This article proves that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and magnetic intensity perturbation within the core caused by an external, uniform magnetic field. (Dynamic permeability is defined to be the slope...

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Published in:IEEE transactions on magnetics Vol. 8; no. 4; pp. 791 - 796
Main Author: Burger, J.
Format: Journal Article
Language:English
Published: IEEE 01-12-1972
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Abstract This article proves that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and magnetic intensity perturbation within the core caused by an external, uniform magnetic field. (Dynamic permeability is defined to be the slope of the hysteresis loop at a given point in time.) Assuming that ellipsoidal shells can approximate the core, the demagnetization factor can be "estimated" in the first order to be proportional to the first power of the quantity tape thickness (or number of wraps) divided by the core diameter. The constant of proportionality is determined from laboratory data. When an additional scale adjustment is applied to the resulting sensor output formula, the computed output tracks laboratory data for a range of sensor geometries.
AbstractList This article proves that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and magnetic intensity perturbation within the core caused by an external, uniform magnetic field. (Dynamic permeability is defined to be the slope of the hysteresis loop at a given point in time.) Assuming that ellipsoidal shells can approximate the core, the demagnetization factor can be "estimated" in the first order to be proportional to the first power of the quantity tape thickness (or number of wraps) divided by the core diameter. The constant of proportionality is determined from laboratory data. When an additional scale adjustment is applied to the resulting sensor output formula, the computed output tracks laboratory data for a range of sensor geometries.
Demonstration that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and magnetic intensity perturbation within the core caused by an external, uniform magnetic field. (Dynamic permeability is defined to be the slope of the hysteresis loop at a given point in time). Assuming that ellipsoidal shells can approximate the core, the demagnetization factor can be 'estimated' in the first order to be proportional to the first power of the quantity tape thickness (or number of wraps) divided by the core diameter. The constant of proportionality is determined from laboratory data. When an additional scale adjustment is applied to the resulting sensor output formula, the computed output tracks laboratory data for a range of sensor geometries.
Author Burger, J.
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Cites_doi 10.1109/TMAG.1965.1062987
10.1109/TMAG.1972.1067284
10.1109/TMAG.1967.1066078
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  publication-title: The Dynamics of Particles and of Rigid Elastic and Fluid Bodies
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  doi: 10.1109/TMAG.1965.1062987
– ident: ref6
  doi: 10.1109/TMAG.1972.1067284
– volume: 97
  start-page: 445
  year: 1950
  ident: ref1
  article-title: The fundamental limitations of the second harmonic type of magnetic modulator as applied to the amplification of small dc signals
  publication-title: Proc IEE
  contributor:
    fullname: williams
– ident: ref3
  doi: 10.1109/TMAG.1967.1066078
– volume: 2
  start-page: 66
  year: 1904
  ident: ref4
  publication-title: Electricity and Magnetism
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Snippet This article proves that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and...
Demonstration that the output from a ring core sensor is directly proportional to the first time derivative of the product of dynamic permeability and magnetic...
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StartPage 791
SubjectTerms Demagnetization
Equations
Laboratories
Magnetic analysis
Magnetic cores
Magnetic sensors
Magnetometers
Permeability
Voltage
Wire
Title The theoretical output of a ring core fluxgate sensor
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