Direct and Inverse Problems of Electromagnetic Control
- Authors: Stepanov V.N.1
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Affiliations:
- Omsk State Technical University
- Issue: Vol 12, No 1 (2018)
- Pages: 177-190
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213030
- DOI: https://doi.org/10.1134/S1990478918010167
- ID: 213030
Cite item
Abstract
A mathematic model is suggested of the direct and universe problems of flaw detection. The direct problem consists in determining the complex amplitude of EMF in the through-type-induction- transducer–air gap–ferromagnetic cylinder system. In the direct problem, the distribution laws of magnetic permeability and electrical conduction are assumed to be known. A formula is obtained for calculating the complex amplitude of EMF in the class of piecewise-constant dependences of electromagnetic parameters. The inverse problem of flaw detection for a ferromagnetic cylinder consists in determining the magnetic permeability based on the measured values of the moduli of the EMF amplitudes in the system on a fixed frequency grid. An approximate solution of the inverse problem is searched in the class of piecewise-constant functions. Tikhonov’s method of regularization is used to solve the inverse problem. The results of numerical and physical modeling are presented.
About the authors
V. N. Stepanov
Omsk State Technical University
Author for correspondence.
Email: stpnv@yandex.ru
Russian Federation, pr. Mira 11, Omsk, 644033