Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method
In this paper the problem of searching for the design of the magnetic system for creation a magnetic field with the required characteristics in the given area is solved. On the basis of analysis of the mathematical model of the magnetic system rather a general approach is proposed to the solving of...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2011-06-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11206.pdf |
| _version_ | 1828522316060950528 |
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| author | R. V. Polyakova I. P. Yudin |
| author_facet | R. V. Polyakova I. P. Yudin |
| author_sort | R. V. Polyakova |
| collection | DOAJ |
| description | In this paper the problem of searching for the design of the magnetic system for creation a magnetic field with the required characteristics in the given area is solved. On the basis of analysis of the mathematical model of the magnetic system rather a general approach is proposed to the solving of the inverse problem, which is written by the Fredgolm equation H(z) = SIJ(s)G(z, s)ds, z S H, s S I . It was necessary to define the current density distribution function J(s) and the existing winding geometry for creation of a required magnetic field H(z). In the paper a method of solving those by means of regularized iterative processes is proposed. On the base of the concrete magnetic system we perform the numerical study of influence of different factors on the character of the magnetic field being designed. |
| first_indexed | 2024-12-11T20:05:30Z |
| format | Article |
| id | doaj.art-1818f166a8504c419d9e60366dc60dfd |
| institution | Directory Open Access Journal |
| issn | 2076-7633 2077-6853 |
| language | Russian |
| last_indexed | 2024-12-11T20:05:30Z |
| publishDate | 2011-06-01 |
| publisher | Institute of Computer Science |
| record_format | Article |
| series | Компьютерные исследования и моделирование |
| spelling | doaj.art-1818f166a8504c419d9e60366dc60dfd2022-12-22T00:52:24ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532011-06-013216517510.20537/2076-7633-2011-3-2-165-1751784Mathematical modelling of the magnetic system by A. N. Tikhonov regularization methodR. V. PolyakovaI. P. YudinIn this paper the problem of searching for the design of the magnetic system for creation a magnetic field with the required characteristics in the given area is solved. On the basis of analysis of the mathematical model of the magnetic system rather a general approach is proposed to the solving of the inverse problem, which is written by the Fredgolm equation H(z) = SIJ(s)G(z, s)ds, z S H, s S I . It was necessary to define the current density distribution function J(s) and the existing winding geometry for creation of a required magnetic field H(z). In the paper a method of solving those by means of regularized iterative processes is proposed. On the base of the concrete magnetic system we perform the numerical study of influence of different factors on the character of the magnetic field being designed.http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11206.pdfmagnet systemsinverse problemFredgolm equationregularized iterative processes |
| spellingShingle | R. V. Polyakova I. P. Yudin Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method Компьютерные исследования и моделирование magnet systems inverse problem Fredgolm equation regularized iterative processes |
| title | Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method |
| title_full | Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method |
| title_fullStr | Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method |
| title_full_unstemmed | Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method |
| title_short | Mathematical modelling of the magnetic system by A. N. Tikhonov regularization method |
| title_sort | mathematical modelling of the magnetic system by a n tikhonov regularization method |
| topic | magnet systems inverse problem Fredgolm equation regularized iterative processes |
| url | http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11206.pdf |
| work_keys_str_mv | AT rvpolyakova mathematicalmodellingofthemagneticsystembyantikhonovregularizationmethod AT ipyudin mathematicalmodellingofthemagneticsystembyantikhonovregularizationmethod |