Mathematical modeling of the magnetic response of thin superconducting disc according to critical state model with a critical current density with inverse-square dependance of field magnitude.
N. D. Kuzmichev1, M. V. Chugunov2, A. A. Fedchenko3
| Annotation | In this work carry out mathematical modeling of magnetization harmonics of hard superconductors two type for thin disk. According to critical state model with $J_c \sim \gamma / H^2$ in approximation of magnetic field screening in the disk center has calculated hysteretic magnetization curves and magnetic field and temperature dependencies magnetization harmonics. Quality influence of magnitude of ac magnetic field amplitude was found on harmonic magnetization. The results this work was compared with experimental results for polycrystals of high-temperature superconductors. The parameter of model $\gamma$ was estimated. |
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| Keywords | high-temperature superconductor, II-type hard superconductor, critical state, thin disk, critical current density, hysteretic loop of magnetization, harmonics magnetization. |
1Head of sub-department of general scientific disciplines, Mordovian State University after N.P. Ogarev, Saransk; kuzmichevnd@yandex.ru.
2Head of sub-department of general technical disciplines, Mordovian State University after N.P. Ogarev, Saransk; m.v.chugunov@mail.ru.
3Senior lecturer of sub-department of general education and professional disciplines, Samara State University of Railways, Samara; starlightalex@gmail.com.
Citation: N. D. Kuzmichev , M. V. Chugunov , A. A. Fedchenko , "[Mathematical modeling of the magnetic response of thin superconducting disc according to critical state model with a critical current density with inverse-square dependance of field magnitude.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 25–36 (In Russian)
