Designing a structure of the magnetically active part of dipole electromagnets for the system of vertical convergence-separation of beams

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.228655

Keywords:

dipole electromagnet, superconducting winding, beam of particles, magnetic field harmonic coefficient

Abstract

This paper reports the results of calculating the magnetic parameters for a direct dipole magnet in the system of vertical convergence-separation of particle beams of the upper and lower rings of the heavy-ion collider. An optimized variant of the yoke and superconducting winding structures has been obtained, providing for the assigned value of a homogeneous magnetic field inside the aperture at the minimized contributions of higher-order harmonics, average-integral along the length. The results from the analysis of the transverse projections of the magnetic induction obtained by 2D modeling of two variants of the design of the central cross-section of the dipole electromagnet are presented. The analysis results have established the dependence of the stability of magnetic parameters in the aperture of the electromagnet when the current in the winding changes on the volume of those yoke regions whose magnetization value is close to saturation. A 3D model of the magnetically active part has been built for two variants of the electromagnet design, and the values of the average-integral harmonics of transverse projections of magnetic induction in the aperture have been calculated. The relationship between the third average-integral harmonic of magnetic induction and the size lengths of the yoke and winding has been empirically established, making it possible to correct the heterogeneity of the transverse magnetic field in the aperture of the electromagnet. The results of optimization of the structure of the magnetically active part of the electromagnet are presented on the criteria for a minimum of the values of the average-integral coefficients of magnetic induction, carried out on the basis of correction of the initial geometric parameters of the yoke and winding. An improvement in the stability of magnetic parameters has been demonstrated, by 3 times, as well as a two-fold reduction in the contribution to the heterogeneity by the third average-integral harmonic when using a two-row arrangement of the winding turns inside the yoke in the design of the electromagnet

Author Biography

Andriy Getman, National Technical University "Kharkiv Polytechnic Institute"

Doctor of Technical Sciences, Senior Researcher

Department of Theoretical Electrical Engineering

References

  1. Russenschuck, S. (2011). Differential Geometry Applied to Coil‐End Design. Field Computation for Accelerator Magnets: Analytical and Numerical Methods for Electromagnetic Design and Optimization. Wiley, 609–636. doi: https://doi.org/10.1002/9783527635467.ch19
  2. De Matteis, E., Russenschuck, S., Arpaia, P. (2016). Magnetic field mapper based on rotating coils. CERN-THESIS-2016-147. Available at: https://cds.cern.ch/record/2229576/files/CERN-THESIS-2016-147.pdf
  3. Erdelyi, B., Berz, M., Lindemann, M. (2015). Differential Algebra Based Magnetic Field Computations and Accurate Fringe Field Maps. Vestnik SPbGU, 4, 36–55. Available at: https://www.researchgate.net/publication/293654228_Differential_Algebra_Based_Magnetic_Field_Computations_and_Accurate_Fringe_Field_Maps
  4. Getman, A. (2018). Cylindrical harmonic analysis of the magnetic field in the aperture of the superconducting winding of an electromagnet. Eastern-European Journal of Enterprise Technologies, 1 (5 (91)), 4–9. doi: https://doi.org/10.15587/1729-4061.2018.123607
  5. Tereshonkov, Yu. V., Andrianov, S. N., Jakšić, M., Pastuović, Ž., Tadić, T. (2011). Mathematical modeling of ion microprobes with fringe fields effects. Vestnik S.-Petersburg Univ., 1 (10), 60–75. Available at: http://www.mathnet.ru/links/1d38526c78f98926a424359457b90960/vspui20.pdf
  6. Schnizer, P., Fischer, E., Schnizer, B. (2014). Cylindrical circular and elliptical, toroidal circular and elliptical multipoles fields, potentials and their measurement for accelerator magnets. arXiv.org. Available at: https://arxiv.org/pdf/1410.8090.pdf
  7. Mierau, A. (2013). Numerische und experimentelle Untersuchungen gekoppelter elektromagnetischer und thermischer Felder in supraleitenden Beschleunigermagneten. Darmstadt. Available at: http://tuprints.ulb.tu-darmstadt.de/id/eprint/3311
  8. Trubnikov, G., Sidorin, A., Shurkhno, N. (2014). NICA cooling program. Cybernetics and Physics, 3 (3), 137–146. Available at: http://lib.physcon.ru/file?id=991262ea43a7
  9. Khodzhibagiyan, H. G., Agapov, N. N., Akishin, P. G., Blinov, N. A., Borisov, V. V., Bychkov, A. V. et. al. (2014). Superconducting Magnets for the NICA Accelerator Collider Complex. IEEE Transactions on Applied Superconductivity, 24 (3), 1–4. doi: https://doi.org/10.1109/tasc.2013.2285119
  10. Getman, A. (2018). Development of the technique for improving the structure of a magnetic field in the aperture of a quadrupole electromagnet with a superconducting winding. Eastern-European Journal of Enterprise Technologies, 5 (5 (95)), 6–12. doi: https://doi.org/10.15587/1729-4061.2018.142163
  11. Technical Project of the Object "NICA Complex" (2018). Available at: https://nica.jinr.ru/documents/TDR_spec_Fin0_for_site_eng.pdf
  12. Wolff, S. (1992). Superconducting accelerator magnet design. AIP Conference Proceedings, 249. doi: https://doi.org/10.1063/1.41989

Downloads

Published

2021-04-30

How to Cite

Getman, A. (2021). Designing a structure of the magnetically active part of dipole electromagnets for the system of vertical convergence-separation of beams . Eastern-European Journal of Enterprise Technologies, 2(5 (110), 14–22. https://doi.org/10.15587/1729-4061.2021.228655

Issue

Vol. 2 No. 5 (110) (2021): Applied physics

Section

Applied physics

License

Copyright (c) 2021 Андрей Владимирович Гетьман

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.