Share:


The inverse problem of determining profiles of electrophysical parameters in eddy-current structuroscopy using apriori information on multifrequency probing

    Volodymyr Ya. Halchenko Affiliation
    ; Ruslana Trembovetska Affiliation
    ; Volodymyr Tychkov Affiliation
    ; Nataliia Tychkova Affiliation

Abstract

Based on the proposed methodology, the essence of which is to identify the profiles of electrophysical parameters of planar objects of eddy-current testing by means of surrogate optimization in the active PCA-space of reduced dimensionality, the effectiveness of the approach is proved by modeling the process of measurement control using apriori accumulated information about an object, in particular, multifrequency probing. The particularity of these studies is the consideration of previously collected information not only on profile variations, but also on the effect of various object probing frequencies on the signal of the surface probe. The functions of the storage device and information carrier were performed by a neural network metamodel, characterized by a high computational efficiency. Numerical experiments have determined the accuracy indicators of the proposed improved method for determining the distributions of magnetic permeability and electrical conductivity along the subsurface layer of a metal object with changes in a microstructure. The analysis of the modeling results indicates a significant reduction in the level of computational resources required to solve the problem and an increase in the accuracy of profile identification.

Keyword : profiles of magnetic permeability and electrical conductivity, eddy current measurement control, multifrequency probing, apriori information, surrogate optimization, active subspace, metamodel, deep neural networks

How to Cite
Halchenko, V. Y., Trembovetska, R., Tychkov, V., & Tychkova, N. (2024). The inverse problem of determining profiles of electrophysical parameters in eddy-current structuroscopy using apriori information on multifrequency probing. Mathematical Modelling and Analysis, 29(4), 767–780. https://doi.org/10.3846/mma.2024.20022
Published in Issue
Nov 29, 2024
Abstract Views
77
PDF Downloads
58
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

References

N. Bowler. Eddy-current nondestructive evaluation. Springer, New York, 2019. https://doi.org/10.1007/978-1-4939-9629-2

K.-T. Fang, M.-Q. Liu, H. Qin and Y.-D. Zhou. Theory and application of uniform experimental designs, volume 221. Springer, Singapore, 2018. https://doi.org/10.1007/978-981-13-2041-5

V. Halchenko, R. Trembovetska, C. Bazilo and N. Tychkova. Computer simulation of the process of profiles measuring of objects electrophysical parameters by surface eddy current probes. In E. Faure, O. Danchenko, M. Bondarenko, Y. Tryus, C. Bazilo and G. Zaspa(Eds.), International Scientific-Practical Conference” Information Technology for Education, Science and Technics”, pp. 411–424. Springer, Nature Switzerland, 2023. https://doi.org/10.1007/978-3-031-35467-0_25

V. Halchenko, R. Trembovetska, V. Tychkov and N. Tychkova. Construction of quasi-DOE on Sobol’s sequences with better uniformity 2D projections. Applied Computer Systems, 28(1):21–34, 2023. https://doi.org/10.2478/acss-2023-0003

V.Ya. Halchenko, R. Trembovetska, V. Tychkov and N. Tychkova. Surrogate methods for determining of profiles of material properties of planar test objects with accumulation of apriori information about them. Archives of Electrical Engineering, 73(1):183–200, 2024. https://doi.org/10.24425/aee.2024.148864

V.Ya. Halchenko, R.V. Trembovetska and V.V. Tychkov. Surrogate synthesis of excitation systems for frame tangential eddy current probes. Archives of Electrical Engineering, 70(4):743–757, 2021. https://doi.org/10.24425/aee.2021.138258

V.Ya. Halchenko, V.V. Tychkov, A.V. Storchak and R.V. Trembovetska. Reconstruction of surface radial profiles of electrophysical characteristics of cylindrical objects during eddy current measurements with a priori data. the selection formation for the surrogate model construction. Ukrainskyi metrolohichnyi zhurnal, 1:35–50, 2020. https://doi.org/10.24027/2306-7039.1.2020.204226

V.Ya. Halchenko, A.N. Yakimov and D.L. Ostapuschenko. Global optimum search of functions with using of multiagent swarm optimization hybrid with evolutional composition formation of population. Information technology, 10(170):9–16, 2010. Available on Internet: http://novtex.ru/IT/it2010/It1010.pdf (in Russian)

J. Hampton, A. Fletcher, H. Tesfalem, A. Peyton and M. Brown. A comparison of non-linear optimization algorithms for recovering the conductivity depth profile of an electrically conductive block using eddy current inspection. NDT & E International, 125:102571, 2022. https://doi.org/10.1016/j.ndteint.2021.102571

P. He, G.J Lin, M.-Q. Liu, Q. Xu and Y. Zhou. Theory and application of uniform designs. SCIENTIA SINICA Mathematica, 50(5):561–570, 2020. https://doi.org/10.1360/SSM-2020-0065

P. Huang, J. Zhao, Z. Li, H. Pu, Y. Ding, L. Xu and Y. Xie. Decoupling conductivity and permeability using sweep-frequency eddy current method. IEEE Transactions on Instrumentation and Measurement, 72:1–11, 2023. https://doi.org/10.1109/TIM.2023.3242017

Y.-Z. Lei. General series expression of eddy-current impedance for coil placed above multi-layer plate conductor. Chinese Physics B, 27(6):060308, 2018. https://doi.org/10.1088/1674-1056/27/6/060308

M. Lu. Forward and inverse analysis for non-destructive testing based on electromagnetic computation methods. The University of Manchester, United Kingdom, 2018. Available on Internet: https://pure.manchester.ac.uk/ws/portalfiles/portal/73361551/FULL_TEXT.PDF

H. Tesfalem, J. Hampton, A.D. Fletcher, M. Brown and A.J. Peyton. Electrical resistivity reconstruction of graphite moderator bricks from multi-frequency measurements and artificial neural networks. IEEE Sensors Journal, 21(15):17005– 17016, 2021. https://doi.org/10.1109/JSEN.2021.3080127

H. Tesfalem, A.J. Peyton, A.D. Fletcher, M. Brown and B. Chapman. Conductivity profiling of graphite moderator bricks from multifrequency eddy current measurements. IEEE Sensors Journal, 20(9):4840–4849, 2020. https://doi.org/10.1109/JSEN.2020.2965201

T.P. Theodoulidis and E.E. Kriezis. Eddy current canonical problems (with applications to nondestructive evaluation). Tech Science Press, 2006.

R. Trembovetska, V. Halchenko and C. Bazilo. Inverse multi-parameter identification of plane objects electrophysical parameters profiles by eddy-current method. In O. Arsenyeva, T. Romanova, M. Sukhonos and Y. Tsegelnyk(Eds.), International Conference on Smart Technologies in Urban Engineering, pp. 202–212, Cham, 2023. Springer, Springer International Publishing. https://doi.org/10.1007/978-3-031-20141-7_19

S. Ullah, D.A. Nguyen, H. Wang, S. Menzel, B. Sendhoff and T. Ba¨ck. Exploring dimensionality reduction techniques for efficient surrogate-assisted optimization. In 2020 IEEE Symposium Series on Computational Intelligence (SSCI), pp. 2965–2974. IEEE, 2020. https://doi.org/10.1109/SSCI47803.2020.9308465

E. Uzal. Theory of eddy current inspection of layered metals. Iowa State University, 1992. https://doi.org/10.31274/rtd-180813-9635

J. Wang, J. Zhou and X. Chen. Data-Driven Fault Detection and Reasoning for Industrial Monitoring. Springer Nature, Singapore, 2022. https://doi.org/10.1007/978-981-16-8044-1

Y. Wang, F. Sun and H. Xu. On design orthogonality, maximin distance, and projection uniformity for computer experiments. Journal of the American Statistical Association, 117(537):375–385, 2020. https://doi.org/10.1080/01621459.2020.1782221

J. Xu, J. Wu, W. Xin and Z. Ge. Fast measurement of the coating thickness and conductivity using eddy currents and plane wave approximation. IEEE Sensors Journal, 21(1):306–314, 2020. https://doi.org/10.1109/JSEN.2020.3014677

J. Xu, J. Wu, W. Xin and Z. Ge. Measuring ultrathin metallic coating properties using swept-frequency eddy-current technique. IEEE Transactions on Instrumentation and Measurement, 69(8):5772–5781, 2020. https://doi.org/10.1109/TIM.2020.2966359