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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Measurement System for Studying Thickness by Means of Subminiature Eddy-Current Transducers</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vladimir N. Malikov Anatoly M. Sagalakov</string-name>
          <email>Barnaul. Russia mirotnas@gmail.com Osys11@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexei V. Ishkov</string-name>
          <email>buvarton@mail.ru</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergey F. Dmitriev</string-name>
          <email>dmitrsf@gmail.com</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrei A. Bagaev</string-name>
          <email>Bagaev71@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Altai State Agricultural, University</institution>
          ,
          <addr-line>Barnaul.</addr-line>
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Altai State Altai State University, University Barnaul.</institution>
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Altai State</institution>
          ,
          <addr-line>Agricultural</addr-line>
          ,
          <institution>University</institution>
          ,
          <addr-line>Barnaul.</addr-line>
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Altai State, University</institution>
          ,
          <addr-line>Barnaul.</addr-line>
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>A new gage system was made based on the eddy-current transducer. The system makes it possible to evaluate the possibility of using the eddy current method to measure the thickness of conductive and dielectric coatings applied on a conductive base material. In this article, in particular, the measurement features are described in detail. Also it represents data, showing the dependence of signal amplitude on objects of different thicknesses.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>between the transducer and the coating, the electrical conductivity of the coating σ1 and the base σ2, as well as the magnetic
permittivity of the base.</p>
      <p>Among the problems of this approach is the variation in the electrical conductivity σ1 at different points of the coating
surface of thickness d, and when controlling various objects with similar coatings [9]. This causes the oscillations of phase
of the electromotive force, which leads to increase in errors when measuring the thickness of the coating. Various types of
an offset (amplitude, phase, amplitude-phase) resulting from the influence of electrical conductivity σ1 in this case
practically have no effect. Under frequency f of excitation of current on the energizing winding makes it possible to reduce
the effect of electrical conductivity. However, in this case, the substrate thickness and the magnetic permittivity of the
substrate become an important influence factor.</p>
      <p>Taking in consideration the abovementioned factors, it is necessary to choose such a frequency of an instrument to
offset from oscillations of electrical conductivity, while not permitting the influence of the magnetic permittivity of the
substrate. Optimal in this case is to measure not the phase φ, but the amplitude A of the signal, on which the substrate
parameters have lower effect, rather than on the phase.</p>
      <p>Therein when measuring the amplitude of ECT signal for the purpose of measuring the coating thickness, a certain
value of electrical conductivity is recognized.</p>
      <p>The purpose of this work was to estimate the application possibility of the amplitude eddy-current method alone in
order to determine the thickness of the conductive or dielectric coating, placed on the conductive base, as well as to estimate
such measurements inaccuracy. The conducted research showed the possibility of the amplitude eddy-current method
application to detect the local thick-ness of the conductive objects, represented by several alternating conductive and
nonconductive layers and solid conductive objects.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Material choices and design</title>
      <p>Subminiature ECT [10-12] is designed for experimentally local studies of the thickness of various coatings and to determine
the effect of various coatings on the output signal value. The developed subminiature ECT represents a core wrapped with
the following windings: energizing, measuring and compensation. ECT consists of a core wrapped with the energizing,
measuring and compensation windings. Both the windings and the core are impregnated with a compound. They are
enclosed in a washer of corundum. This equates to increase the mechanical stability of the transducer.</p>
      <p>To test different conductive materials, a developed transducer is used, which is connected to a personal computer via a
sound card that is used as a generator and as a signal transducer. The signal thus is sent directly to the energizing winding.
The software is able to control the quantity of a signal applied to the energizing winding and also allows to read the voltage
values from the measuring winding, which, taking into account the calibration, are converted into conductivity values. The
developed software allows measuring the thickness of conductive and dielectric non-ferromagnetic coatings and conductive
materials</p>
      <p>ECT winding coils consist of a copper wire with the thickness of 5 μm. The core is made of ferrite 2000NM3 with an
initial magnetic permittivity value of 2000 and has a pyramidic shape. Characteristics of the developed transducer make it
possible to achieve high localization of the control, namely, to localize the field within 2500 μm2. The developed system
provides a significant depth of penetration of the field into the prototype system up to values of ~ 5 mm (at frequencies of
500 Hz.)</p>
      <p>
        The eddy-current transducer (Figure 1) is a transformer with measuring (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ), exciting (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ), and compensation (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ) windings
and a magnetic circuit 4, which is located inside the cylindrical platform 5 with tracks that are cut on the external side for
windings. The platform is impregnated with a compound 6 at a temperature of 200°C to prevent the disintegration of the
windings when the ferrite screen 7, which is intended for the localization of the electromagnetic field on the tested object,
is put in place. From the outside the transducer is contained in a corundum washer 8, which protects the core 4 from
contacting the tested object.
      </p>
      <p>The software coded in С++ for Windows allows controlling the signal on the energizing winding and receiving the
signal from the measuring winding. With the help of the software it is possible to effectively control the signal, which is
applied directly to the energizing winding. Also with this software it is possible to receive a signal directly from the
measuring winding. The impressed voltage can be controlled using a special mixer built into the Windows. With the help
of this mixer, the frequency and amplitude parameters of the generator sinusoidal signal are set. In turn, the sound card
makes it possible to extend the signal bandwidth, which is applied directly to the energizing winding.
Use a third level heading for the acknowledgements. All acknowledgements go at the end of the paper.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Experimental results</title>
      <p>To test the new gage system the scanning of an aluminium coating applied on a copper base material was performed.
Measurements were made at a frequency of 700 Hz. The coating had different thickness, and the thickness of the copper
base was 3 millimetres.</p>
      <p>Figure 2 shows the dependence of the signal value on the thickness of the aluminium coating on a non-ferromagnetic
base material. In case of an increase in the thickness of the coating to the value of 1200 μm, the signal decreases from 28
to 22 mV, therein at values from 750 up to 1500 μm, the signal is smaller than the monolith signal, this, in turn, demonstrates
that the thickness of the coating is not large enough. Whereas, with a dielectric thickness of 1500 and up to 2500 μm, the
signal value is constant and completely corresponds to the readings of the field value from the monolith.
The experiment to determine the dependence of the thickness of a laminated coating, in which the layers of polyethylene
alternate with the layers of the foil, was also conducted. The object of the study was the alternation of layers of aluminium
foil of 20 μm and polyethylene of 20 μm. Measurements were made at a frequency of 1500 Hz.</p>
      <p>Fig. 3. Dependence of the signal intensity when scanning the laminated structure</p>
      <p>Figure 3 shows the dependence of the signal intensity on the thickness of the laminated coating with the alternation of
layers of foil and polyethylene applied on a copper base. When changing the thickness of the laminated coating from 0 to
100 μm, the value of the signal coming from the base varies from 29 to 24 mV In that case, if the thickness of the laminated
coating consisting of polyethylene and foil varies from 100 to 250 μm, then the input signal shows more smooth values. In
the range from 250 μm to 400 μm, the signal changes from 26 to 23 mV, that is caused by the contribution of the signal
from the laminated coating and the decrease in the contribution of the signal from the copper base.</p>
      <p>During the third test experiment a sample of a solid object of aluminium of different thicknesses was scanned.
Measurements were made at a frequency of 500 Hz. Fig. 4 shows the dependence of the signal value on the thickness of a
sample of aluminium. The contribution to the signal amplitude of the deeper layers of the sample increases with increasing
of sample thickness. When changing the thickness from 100 to 1200 μm, the signal quantity increases from 7 to 25 mV
When changing the thickness from 1200 to 2200 μm, the signal value is constant and corresponds to the value of the
amplitude from the monolith (25.5 mV).</p>
      <p>In the final study, the experiment was also carried out with copper samples and paint coating. A layer of paint was
applied to the pre-cut samples of copper. Measurements were made at a frequency of 400 Hz.</p>
      <p>As it can be seen from the dependence of the signal amplitude on the thickness of the dielectric coating (Fig. 5), an output
signal quantity decreases rapidly with increasing of coating thickness. This dependence can be approximated by an
exponential function:</p>
      <p>This dependence are graphically shown in Fig. 5. As can be seen from the figure, the received signal decreases
exponentially with increasing of thickness of the dielectric coating.</p>
    </sec>
    <sec id="sec-4">
      <title>Conclusions</title>
      <p>The presented gage system was used for the study of objects representing conductive and non-conductive coatings placed
on a conductive basis, as well as for measuring the thickness of monolithic conductive objects. We assessed the possibility
of local determination of the thickness of conductive and dielectric coatings using the amplitude of the signals of ECT.</p>
      <p>
        It is found that the thickness of the coating affects the signal of the eddy-current transducer. This hereafter allows the
use of the amplitude method to control objects of a similar class for local measurements of the thickness of conductive and
non-conductive coatings, as well as other objects
10. S. Dmitriev. Eddy-current measuring system for analysis of alloy defects and weld seams, Rus. Eng. Res. 36(
        <xref ref-type="bibr" rid="ref8">8</xref>
        ):
626{629, 2015.
11. S. Dmitriev. Scanning the Welded Seams of Titanium Alloys by Using Subminiature Eddy Current Transducers. AIP
      </p>
      <p>Conf. Proc., 1785: 1{7, 2016.
12. S. Dmitriev. Flaw detection of alloys using the eddy-current method. MATEC Web of Conf. 106: 32{37, 2016.</p>
    </sec>
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