2020
DOI: 10.2528/pierm20021102
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Fast Method of Calculating the Air-Cored Coil Impedance Using the Filamentary Coil Model

Abstract: This paper presents a method for calculating the air-cored coil impedance with the employment of a mathematical model of an ideal filamentary coil. The proposed algorithm enables assigning, in a very quick way, each cylindrical air-cored coil to the corresponding filamentary coil using only two equivalent parameters. The first of them is the radius of the coil, whereas the second one is the distance between the coil and the surface of the tested material. The changes both in the parameters of the system under … Show more

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Cited by 4 publications
(7 citation statements)
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“…parameters of the used coil and the three-layer sample with an internal hole are presented in Table 1. The value of the changes in the components of the coil impedance measured for the frequency f = 20 kHz was used to determine parameters r 0 , h 0 with the employment of the algorithm presented in [25]. Thus, measured values r 0 = 17.3 mm, h 0 = 6.1 mm were used to calculate changes in the components of the filamentary coil impedance from (23), which were normalised with respect to the reactance of the coil in the free space X 0 and shown in Figs.…”
Section: Resultsmentioning
confidence: 99%
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“…parameters of the used coil and the three-layer sample with an internal hole are presented in Table 1. The value of the changes in the components of the coil impedance measured for the frequency f = 20 kHz was used to determine parameters r 0 , h 0 with the employment of the algorithm presented in [25]. Thus, measured values r 0 = 17.3 mm, h 0 = 6.1 mm were used to calculate changes in the components of the filamentary coil impedance from (23), which were normalised with respect to the reactance of the coil in the free space X 0 and shown in Figs.…”
Section: Resultsmentioning
confidence: 99%
“…The author's observations show that a filamentary coil requires a lower value of Ns than an air-cored coil. Thus, calculations are performed faster not only due to the simpler form of expressions, but also because of a smaller number of mathematical operations that are necessary to perform [25]. In the case of the filamentary coil, Ns = 100, b = 12r 2 , were adopted in the calculations, since a further increase of the values of these parameters did not bring about any significant improvement of the accuracy of the results.…”
Section: Discussionmentioning
confidence: 99%
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“…For this purpose, it is enough to determine such values of equivalent radius r 0 and equivalent height h 0 so that the impedance of the filamentary coil and the measured impedance of any real coil are equal. A mathematical model containing analytical expressions for the impedance of a filamentary coil placed over a two-layer conductive half-space [ 37 ] was derived using the truncated region eigenfunction expansion (TREE) method [ 38 ]. The algorithm in Matlab enabling the effective determination of the parameters r 0 , h 0 was presented in [ 39 ] and subsequently used to detect defects with a filamentary coil [ 40 ].…”
Section: Introductionmentioning
confidence: 99%
“…A mathematical model containing analytical expressions for the impedance of a filamentary coil placed over a two-layer conductive half-space [ 37 ] was derived using the truncated region eigenfunction expansion (TREE) method [ 38 ]. The algorithm in Matlab enabling the effective determination of the parameters r 0 , h 0 was presented in [ 39 ] and subsequently used to detect defects with a filamentary coil [ 40 ]. The mathematical model for the system consisting of two coils was developed in [ 41 , 42 , 43 , 44 , 45 , 46 ].…”
Section: Introductionmentioning
confidence: 99%