Studying the computational resource demands of mathematical models for moving surface eddy current probes for synthesis problems

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.143309

Keywords:

optimal synthesis, eddy current probe, distribution of eddy current density, computational resource consumption

Abstract

Distribution of eddy current density for three types of coils of excitation of moving surface eddy current probes, in particular circular, rectangular, orthogonal-rectangular shapes was calculated according to the formulas of "exact" electrodynamic mathematical models with allowance for the speed effect.

Calculation time from 8 to 20 hours was established for a circular excitation coil with dimensions of testing zone 50´50 mm at speed ux=40 m/s. The calculation time was from 8 to 9 hours for a rectangular excitation coil at a speed of movement in direction of two components ux, uy=20 m/s with the testing zone dimensions of 80´48 mm. The calculation time was more than 7 hours for an excitation coil of orthogonal rectangular shape with dimensions of the testing zone of 15´35 mm at a speed of movement in direction of components ux, uy=40 m/s; and for the testing zone dimensions of 12´24 mm for ux, uy=40 m/s it was longer than 9 hours. It was found that the computational complexity of calculation of distribution of the eddy current density with the use of "exact" mathematical models was rather large when changing even two spatial coordinates in the testing zone. That is, the direct use of "exact" mathematical models when calculating the values of distribution of the eddy currents density in the points of the controlled zone is inappropriate taking into account the considerable resource intensity of the computational process.

The necessity for using a mathematical apparatus of surrogate optimization was substantiated for designing eddy current probes with a uniform distribution of eddy current density in the testing zone.

This study is useful for non-destructive testing specialists in the field of mechanical engineering. The study results can be used in designing eddy current probes with improved metrological characteristics, in particular homogeneous sensitivity, localization of the probing excitation field, improved noise immunity, possibility of eliminating the edge effect manifestations in testing

Author Biographies

Ruslana Trembovetska, Cherkasy State Technological University Shevchenka blvd., 460, Cherkasy, Ukraine, 18006

PhD, Associate Professor

Department of instrumentation, mechatronics and computer technologies

Volodymyr Halchenko, Cherkasy State Technological University Shevchenka blvd., 460, Cherkasy, Ukraine, 18006

Doctor of Technical Sciences, Professor

Department of instrumentation, mechatronics and computer technologies

Volodymyr Tychkov, Cherkasy State Technological University Shevchenka blvd., 460, Cherkasy, Ukraine, 18006

PhD, Associate Professor

Department of instrumentation, mechatronics and computer technologies

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Published

2018-09-28

How to Cite

Trembovetska, R., Halchenko, V., & Tychkov, V. (2018). Studying the computational resource demands of mathematical models for moving surface eddy current probes for synthesis problems. Eastern-European Journal of Enterprise Technologies, 5(5 (95), 39–46. https://doi.org/10.15587/1729-4061.2018.143309

Issue

Vol. 5 No. 5 (95) (2018): Applied physics

Section

Applied physics

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Copyright (c) 2018 Ruslana Trembovetska, Volodymyr Halchenko, Volodymyr Tychkov

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