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An eddy current model of pot-cored coil for testing multilayer conductors with a hole

Tytko G.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2020

Vol. 68, nr 6

1311--1317

Pot-cored coils are commonly used as probes in eddy current testing. In this paper, an analytical model of such a coil placed over a three-layer plate with a hole has been presented. The proposed solution enables the modelling of both magnetic and non-magnetic conductive plates that contain different types of hole, i.e. a through, a surface, an inner or a subsurface hole. The problem was solved by using the truncated region eigenfunction expansion (TREE) method. The analysis was carried out in a cylindrical coordinate system in which the solution domain was radially limited. With the employment of the filamentary coil, the expressions for the magnetic vector potential, and subsequently for the impedance of the cylindrical coil were obtained. The final formulas were presented in a closed form and then implemented in Matlab. The resistance and reactance values were compared with the results obtained in the experiment and using the finite element method in the Comsol Multiphysics package. In each of the cases, good agreement was obtained.

Błędy wyznaczania charakterystyk częstotliwościowych impedancji uzwojeń magnesów nadprzewodzących

Ziółko M., Wołoszyk M., Świsulski D.

Pomiary Automatyka Kontrola

2012

R. 58, nr 11

1006-1008

W artykule przedstawiono zagadnienia związane z opracowaniem systemu do wyznaczania impedancji uzwojeń magnesów nadprzewodzących w funkcji częstotliwości. Omówiono strukturę sprzętową systemu i oprogramowanie, a także dokonano podstawowej analizy metrologicznej określając na podstawie badań symulacyjnych błędy wyznaczania modułu i argumentu poszukiwanej impedancji. Pokazano również przykładowe wyniki uzyskane przy użyciu omawianego systemu w GSI w Darmstadt.

The paper shows some of the most notable difficulties connected with constructing a superconducting magnet frequency characteristics test system. The hardware and software of the system is shown and the basic metrological analysis is carried out specifying, based on simulation tests, the module and phase errors of the superconducting magnet measured impedance. The paper shows some of the test results of example superconducting magnets (Fig. 4) obtained with use of the discussed system at GSI Helmholtz Centre for Heavy Ion Research in Darmstadt. As shown in Figs. 5 and 6, for the reference resistance correct value Rref, the relative error of the coil impedance module σZm does not exceed the value of 5% and the absolute error of the phase Δ φm does not exceed 3o at the measurement frequency up to 20 kHz. This results can be accepted as satisfactory. The authors plan to upgrade this system by introducing additional models of the coil under tests and the use of new excitation signals.