Direct and Inverse Problems of Electromagnetic Control
- Авторлар: Stepanov V.1
-
Мекемелер:
- Omsk State Technical University
- Шығарылым: Том 12, № 1 (2018)
- Беттер: 177-190
- Бөлім: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213030
- DOI: https://doi.org/10.1134/S1990478918010167
- ID: 213030
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Stepanov
Omsk State Technical University
Хат алмасуға жауапты Автор.
Email: stpnv@yandex.ru
Ресей, pr. Mira 11, Omsk, 644033