Quasi-static magnetic compression of field-reversed configuration plasma: amended scalings and limits from two-dimensional MHD equilibrium

Abba Alhaji BALA; Ping ZHU; Haolong LI; Yonghua DING; Jiaxing LIU; Sui WAN; Ying HE; Da LI; Nengchao WANG; Bo RAO; Zhijiang WANG

doi:10.1088/2058-6272/ac92cc

Plasma Science and Technology > 2023 > 25(2): 025106. > DOI: 10.1088/2058-6272/ac92cc

Abba Alhaji BALA, Ping ZHU, Haolong LI, Yonghua DING, Jiaxing LIU, Sui WAN, Ying HE, Da LI, Nengchao WANG, Bo RAO, Zhijiang WANG. Quasi-static magnetic compression of field-reversed configuration plasma: amended scalings and limits from two-dimensional MHD equilibrium[J]. Plasma Science and Technology, 2023, 25(2): 025106. DOI: 10.1088/2058-6272/ac92cc

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Quasi-static magnetic compression of field-reversed configuration plasma: amended scalings and limits from two-dimensional MHD equilibrium

1.
International Joint Research Laboratory of Magnetic Confinement Fusion and Plasma Physics, State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
2.
School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
3.
Department of Physics, Federal University Dutse, Jigawa 720101, Nigeria
4.
Department of Engineering Physics, University of Wisconsin-Madison, Madison, Wisconsin WI-53706, United States of America
5.
College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, People's Republic of China

More Information

Corresponding author:
Ping ZHU, E-mail: zhup@hust.edu.cn

Yonghua DING, E-mail: yhding@hust.edu.cn
Received Date: April 06, 2022
Revised Date: September 12, 2022
Accepted Date: September 15, 2022
Available Online: December 05, 2023
Published Date: January 05, 2023

Graphical Abstract

Abstract

Abstract

In this work, several key scaling laws of the quasi-static magnetic compression of field reversed configuration (FRC) plasma (Spencer et al 1983 Phys. Fluids 26 1564) are amended from a series of two-dimensional FRC MHD equilibriums numerically obtained using the Grad–Shafranov equation solver NIMEQ. Based on the new scaling for the elongation and the magnetic fields at the separatrix and the wall, the empirically stable limits for the compression ratio, the fusion gain, and the neutron yield are evaluated, which may serve as a more accurate estimate for the upper ceiling of performance from the magnetic compression of FRC plasma as a potential fusion energy as well as neutron source devices.
- magneto-hydrodynamic equilibrium,
- Grad–Shafranov equation,
- field reversed configuration,
- NIMEQ,
- magnetic compression

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Acknowledgments

This work was supported by the National Magnetic Confinement Fusion Program of China (No. 2017YFE0301805), National Natural Science Foundation of China (No. 51821005), the Fundamental Research Funds for the Central Universities at Huazhong University of Science and Technology (No. 2019kfyXJJS193), and the U.S. Department of Energy (Nos. DE-FG02-86ER53218 and DE-SC0018001). The authors are grateful for the supports from the NIMROD team. The author Abba Alhaji Bala acknowledges the support from the Chinese Government Scholarship.

References (26)

References

[1]	Tuszewski M et al 2017 Phys. Plasmas 24 012502 doi: 10.1063/1.4972537
[2]	Barnes D C 2001 Phys. Plasmas 8 4864 doi: 10.1063/1.1408290
[3]	Woodruff S, MacNab A I D and Mattor N 2008 J. Fusion Energy 27 128 doi: 10.1007/s10894-007-9101-6
[4]	Brennan D et al 2020 Nucl. Fusion 60 046027 doi: 10.1088/1741-4326/ab74a2
[5]	Romero J A et al 2018 Nat. Commun. 9 691 doi: 10.1038/s41467-018-03110-5
[6]	Nehl C L et al 2019 J. Fusion Energy 38 506 doi: 10.1007/s10894-019-00226-4
[7]	Guo H Y et al 2015 Nat. Commun. 6 6897 doi: 10.1038/ncomms7897
[8]	Tuszewski M 1988 Nucl. Fusion 28 008 doi: 10.1088/0029-5515/28/7/008
[9]	Pan Y et al 2022 J. Strateg. Study CAE 24 205 doi: 10.15302/J-SSCAE-2022.03.021
[10]	Bol K et al 1972 Phys. Rev. Lett. 29 1495 doi: 10.1103/PhysRevLett.29.1495
[11]	Rej D J et al 1992 Phys. Fluids B 4 1909 doi: 10.1063/1.860043
[12]	Spencer R L, Tuszewski M and Linford R K 1983 Phys. Fluids 26 1564 doi: 10.1063/1.864334
[13]	Felber F S, Liberman M A and Velikovich A L 1988 Phys. Fluids 31 3675 doi: 10.1063/1.866884
[14]	Atanasiu C V et al 2004 Phys. Plasmas 11 3510 doi: 10.1063/1.1756167
[15]	Li H L and Zhu P 2021 Comput. Phys. Commun. 260 107264 doi: 10.1016/j.cpc.2020.107264
[16]	Crisanti F 2019 J. Plasma Phys. 85 905850210 doi: 10.1017/S0022377819000175
[17]	Gao H L et al 2017 Plasma Sci. Technol. 19 115101 doi: 10.1088/2058-6272/aa7f26
[18]	Howell E C and Sovinec C R 2014 Comput. Phys. Commun. 185 1415 doi: 10.1016/j.cpc.2014.02.008
[19]	Freidberg J P 2007 Plasma Physics and Fusion Energy (Cambridge: Cambridge University Press) ( https://doi.org/10.1017/CBO9780511755705)
[20]	Tuszewski M et al 1991 Phys. Rev. Lett. 66 711 doi: 10.1103/PhysRevLett.66.711
[21]	Barnes D C 2002 Phys. Plasmas 9 560 doi: 10.1063/1.1435425
[22]	Wesson J (ed) 2004 Tokamaks 3rd (Oxford: Oxford Science Publications)
[23]	Pais S C 2019 IEEE Trans. Plasma Sci. 47 5119 doi: 10.1109/TPS.2019.2942997
[24]	Wesson J (ed) 2011 Tokamaks 4th (New York: Oxford University Press)
[25]	Velikovich A L et al 2007 Phys. Plasmas 14 022701 doi: 10.1063/1.2435322
[26]	Kovalev A O et al 2020 J. Fusion Energy 39 40 doi: 10.1007/s10894-020-00232-x

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