Mathematical Model of Permanent Magnets and Superconducting Coils

被引：2
|
作者：
Lyashko, S., I [1 ]
Zub, S. S. [2 ]
Yalovega, I. G. [3 ]
Lyashko, V. S. [4 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
[2] Natl Sci Ctr, Inst Metrol, Kharkiv, Ukraine
[3] HS Skovoroda Kharkiv Natl Pedag Univ, Kharkiv, Ukraine
[4] Natl Acad Sci Ukraine, VM Glushkov Inst Cybernet, Kiev, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2022年 / 58卷 / 01期
关键词：
electromechanical systems; cyclic coordinates; Routh method; Lagrangian formalism; stability;
D O I：
10.1007/s10559-022-00437-2
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
A Lagrangian formalism is developed, which allows finding the magnetic potential energy of interactions in a system of superconducting inductors (coils with constant magnetic flux) and permanent magnets (coils with direct current). The explicit form of potential energy for the magnetic system with constant magnetic fluxes and direct currents allows the stability analysis in such magnetic systems both at equilibrium and in motion. A number of applications are indicated, which will benefit from this approach such as modeling of cyber-physical or technical systems of magnetic levitation.
引用
收藏
页码：77 / 83
页数：7
相关论文
共 50 条
  • [41] Superconducting Electric Machine with Permanent Magnets and Bulk HTS Elements
    Levin, A. V.
    Vasich, P. S.
    Dezhin, D. S.
    Kovalev, L. K.
    Kovalev, K. L.
    Poltavets, V. N.
    Penkin, V. T.
    SUPERCONDUCTIVITY CENTENNIAL CONFERENCE 2011, 2012, 36 : 747 - 752
  • [42] The Next Generation of Superconducting Permanent Magnets: The Flux Pumping Method
    Coombs, T. A.
    Hong, Z.
    Yan, Y.
    Rawlings, C. D.
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2009, 19 (03) : 2169 - 2173
  • [43] Mathematical model of multicircuit device for magnetizing permanent magnets of high-torque electric motor
    Rashid, S.
    Kucheryavenko, L.I.
    Izvestiya Vysshikh Uchebnykh Zavedenij i Energeticheskikh Ob''edinenij Sng. Energetika, 2000, (04): : 24 - 34
  • [44] A multi-pole magnetorheological clutch powered by permanent magnets and excitation coils
    Wu, Jie
    Deng, Bingbing
    Huang, Yuming
    Zhang, Hui
    Tang, Shaoyu
    JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2023, 34 (02) : 217 - 228
  • [45] MgB2 for MRI Magnets: Test Coils and Superconducting Joints Results
    Park, Dong Keun
    Ling, Jiayin
    Rindfleisch, Matt
    Voccio, John
    Hahn, Seungyong
    Bascunan, Juan
    Tomsic, Michael
    Iwasa, Yukikazu
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2012, 22 (03)
  • [46] High Tc insert coils for high field superconducting magnets -: the Oxford Programme
    Newson, M
    Ryan, DT
    Wilson, MN
    Jones, H
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2000, 10 (01) : 468 - 471
  • [47] ACOUSTIC-EMISSION FROM SUPERCONDUCTING MAGNETS - THE DIFFERENCE BETWEEN LAYER WOUND COILS AND PANCAKE WOUND COILS
    ISHIKAWA, T
    MIURA, S
    NAKAGAWA, Y
    CRYOGENICS, 1986, 26 (05) : 267 - 272
  • [48] A Theoretical Model for Designing Superconducting Magnets
    Sinha, Gautam
    Mandal, Sudhansu S.
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2020, 30 (02)
  • [49] Mathematical Model of Magnetic System of Synchronous Machines with Permanent Magnets and Fractional Single-Toothed Winding
    Shevchenko, A. F.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ACTUAL ISSUES OF MECHANICAL ENGINEERING 2017 (AIME 2017), 2017, 133 : 779 - 784
  • [50] Superconducting flux pump for high-temperature superconductor insert coils of NMR magnets
    Jeong, S
    Lee, H
    Iwasa, Y
    ADVANCES IN CRYOGENIC ENGINEERING, VOL 47, PTS A AND B, 2002, 613 : 441 - 448
12345