Two-dimensional simulation of influence of plume magnetic field on performance of Hall thrusters

Yang San-Xiang; Zhao Yi-De; Dai Peng; Li Jian-Peng; Geng Hai; Yang Jun-Tai; Jia Yan-Hui; Guo Ning

doi:10.7498/aps.73.20241331

Abstract

As one of the key design parameters of Hall thruster, magnetic field indirectly influences the macroscopic performance of the thruster by directly affecting electron transport, neutral atom ionization, plasma distribution and other microscopic behaviors. At present, the research on the influence of Hall thruster’s magnetic field focuses mostly on the size and distribution of the magnetic field in the discharge channel, but less on the influence of the plume magnetic field on the thruster. Based on this, the effect of plume region axial magnetic field profile on the performance of Hall thruster is studied by using two-dimensional hybrid simulation. The research results show that the axial magnetic field gradient in the plume region has a significant influence on the thruster performance, when the magnetic field characteristics (magnetic field topology and magnetic field intensity) in the discharge channel remain unchanged. The potential drop in the discharge channel decreases with the axial magnetic field gradient in the plume region decreasing. However, the electric field in the plume region and the peak ion number density in the discharge channel increase with the axial magnetic field gradient in the plume region decreasing. Overall, the performance of the thruster is improved by increasing the magnetic field strength in the plume region. More specifically, there is a critical value of axial magnetic field gradient in the plume region. When the axial magnetic field gradient in the plume region is greater than the critical value, the thrust increases with the axial magnetic field gradient decreasing. When the axial magnetic field gradient of the plume region is less than the critical value, the thrust decreases slightly with the axial magnetic field gradient decreasing. The comparison of plasma potential, electric field, ion number density, and ionization rate distribution under different magnetic field distributions in the plume region shows that the effect of plume magnetic field on thrust is to affect the spatial electric field distribution by affecting the mobility of electrons, thus causing the thrust to change due to electric field. The research results of this paper will provide theoretical support for improving the performance of hall thrusters and designing magnetic fields.

Keywords:

Authors and contacts

Science and Technology on Vacuum Technology and Physics Laboratory, Lanzhou Institute of Physics, Lanzhou 730000, China

Corresponding author: Geng Hai, marineen115@163.com

Funds: Project supported by the National Key R&D Program of China (Grant No. 2021YFC2202704), the National Natural Science Foundation of China (Grant No. 62201238), the Outstanding Youth Fund of Gansu Province, China (Grant No. 21JR7RA744), and the Natural Science Foundation of Gansu Province, China (Grant Nos. 22JR5RA789, 22JR5RA787).

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References

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Cited By

图 1 粒子-流体混合模型计算流程图

Figure 1. Calculation flowchart of the particle-fluid hybrid model.

DownLoad: Full-Size Img PowerPoint

图 2 计算域及边界条件

Figure 2. Calculation domain and boundary conditions.

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图 3 (a) ${\alpha _1}$和(b) ${\alpha _2}$对轴向磁场分布的影响.

Figure 3. Influences of (a) ${\alpha _1}$ and (b) ${\alpha _2}$ on the magnetic field distribution.

DownLoad: Full-Size Img PowerPoint

图 4 ${\alpha _1} = 0.35$时${\alpha _2}$对推力的影响

Figure 4. Influence of ${\alpha _2}$ on the thrust at ${\alpha _1} = 0.35$.

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图 5 ${\alpha _1} = 0.35$时${\alpha _2}$对电势(a)和电场(b)分布的影响

Figure 5. Influence of ${\alpha _2}$ on potential (a) and electric field (b) at ${\alpha _1} = 0.35$.

DownLoad: Full-Size Img PowerPoint

图 6 ${\alpha _1} = 0.35$时${\alpha _2}$对离子产生速率(a)和离子密度的影响(b)

Figure 6. Influence of ${\alpha _2}$ on ion production rate (a) and ion number density (b) at ${\alpha _1} = 0.35$.

DownLoad: Full-Size Img PowerPoint

图 7 不同${\alpha _2}$时电势的分布

Figure 7. Potential distribution for different ${\alpha _2}$.

DownLoad: Full-Size Img PowerPoint

图 8 不同${\alpha _2}$时轴向电场的分布

Figure 8. Axial electric field distribution for different ${\alpha _2}$.

DownLoad: Full-Size Img PowerPoint

图 9 不同${\alpha _2}$时离子数密度的分布

Figure 9. Ion number density distribution for different ${\alpha _2}$.

DownLoad: Full-Size Img PowerPoint

[1]	Mazouffre S 2016 Plasma Sources Sci. Technol. 25 033002 Google Scholar
[2]	Li W B, Ding Y J, Wei L Q, Han L, Yu D R 2017 Vacuum 136 77 Google Scholar
[3]	Taccogna F, Minelli P, Capitelli M, Longo S 2012 Am. Instit. Phys. 1501 1390 Google Scholar
[4]	Raitses Y, Fisch N J 2001 Phys. Plasmas 8 2579 Google Scholar
[5]	Shitrit S, Ashkenazy J, Appelbaum G, Warshavsky A 2008 IEEE Trans. Plasma Sci. 36 2025 Google Scholar
[6]	Gawron D, Mazouffre S, Sadeghi N, Héron A 2008 Plasma Sources Sci. Technol. 17 025001 Google Scholar
[7]	Shmelev A V, Lovtsov A S 2012 Tech. Phys. Lett. 38 544 Google Scholar
[8]	Hofer R R, Geoibel D M, Mikellides I G, Katz I, 2014 J. Appl. Phys. 115 043304 Google Scholar
[9]	Li H, Fan H T, Liu X Y, Ding M H, Ding Y J, Wei L Q, Yu D R, Wang X G 2019 Vacuum 162 78 Google Scholar
[10]	Garrigues L, Hagelarr G J M, Bareilles J, Boniface C, Boeuf J P 2003 Phys. Plasmas 10 4886 Google Scholar
[11]	Sommier E, Allis M K, Cappelli M A 2005 The 29^th International Electric Propulsion Conference Princeton NJ, USA, October 31–November 4, 2005 IEPC-2005-189
[12]	Ahedo E, Antón A, Garmendia I, Caro I 2007 The 30^th International Electric Propulsion Conference Florence, Italy, September 17–20, 2007 IEPC-2007-067
[13]	Boniface C, Garrigues L, Hagelaar G J M, Boefu J P 2006 Appl. Phys. Lett. 89 161503 Google Scholar
[14]	Hara K, Sekerak M J, Boyd I D, Gallimore A D 2014 J. Appl. Phys. 115 203304 Google Scholar
[15]	Perales-Dĺaz J, Domĺnguez-Vázquez Fajardo P, Ahedo E, Faraji F, Reza M, Andreussi T 2022 J. Appl. Phys. 131 103302 Google Scholar
[16]	Jiang Y W, Tang H B, Ren J X, Li M, Cao J B 2018 J. Phys. D: Appl. Phys. 51 1627 Google Scholar
[17]	Liu J W, Li H, Hu Y L, Liu X Y, Ding Y J, Wei L Q, Yu D R, Wang X G 2019 Contrib. Plasma Phys. 59 e201800001 Google Scholar
[18]	杨三祥, 王倩楠, 高俊, 贾艳辉, 耿海, 郭宁, 陈新伟, 袁兴龙, 张鹏 2022 物理学报 71 105201 Google Scholar Yang S X, Wang Q N, Gao J, Jia Y H, Geng H, Guo N, Chen X W, Yuan X L, Zhang P 2022 Acta Phys. Sin. 71 105201 Google Scholar
[19]	Keidar M, Boyd I D 1999 J. Appl. Phys. 86 4786 Google Scholar
[20]	Mikellides I G, Katz I, Mandell M J, Snyder J S 2001 37^th AIAA/ASME/SAE/AHS/ASEE Joint Propulsion Conference & Exhibit Salt Lake City, Utah, July 8–11, 2001 AIAA-2001-3505
[21]	Boyd I D, Yim J M 2004 J. Appl. Phys. 95 4575 Google Scholar
[22]	Raitses Y, Gaysoso J C, Merino E, Fisch N J 2010 46^th AIAA/ASME/SAE/AHS/ASEE Joint Propulsion Conference & Exhibit Nashville, TN, July 25–28, 2010 AIAA-2010-6621
[23]	Hu P, Liu H, Mao W, Yu D R, Gao Y Y 2015 Phys. Plasmas 22 103502 Google Scholar
[24]	Kim H, Lim Y, Choe W, Park S, Seon J 2015 Appl. Phys. Lett. 106 154103 Google Scholar
[25]	Singh S, Malik H K 2023 J. Astrophys. Astr. 44 3 Google Scholar
[26]	Hofer R R, Gallimore A D 2006 J. Propul. Power 22 721 Google Scholar
[27]	Hofer R R, Gallimore A D 2006 J. Propul. Power 22 732 Google Scholar
[28]	Henaux C, Vilamot R, Garrigues L, Harribey D 2012 20^th International Conferences on Electrical Machines Marseille, France, September 2–5, 2012 p2533
[29]	Domonkos M T, Gallimore A D, Marrese C M, Haas J M 2000 J. Propul. Power 16 91 Google Scholar
[30]	Liang R, Gallimore A D 2011 49^th AIAA Aerospace Sciences Meeting Kissimmee, Florida, January 4–7, 2011 AIAA-2011-1016
[31]	Adam J C, Héron A, Laval G 2004 Phys. Plasma 11 295 Google Scholar
[32]	Lafleur T, Martorelli R, Chabert P, Bourdon A 2018 Phys. Plasma 25 061202 Google Scholar
[33]	Coche P, Garrigues L 2014 Phys. Plasmas 21 023503 Google Scholar
[34]	Chen L, Kan Z C, Gao W F, Duan P, Chen J Y, Tan C Q, Cui Z J 2024 Chin. Phys. B 33 015203 Google Scholar
[35]	Yu D R, Qing S W, Liu H, Li H 2011 Contrib. Plasma Phys. 51 955 Google Scholar
[36]	Yu D R, Song M, Liu H, Ding Y J, Li H 2012 Phys. Plasmas 19 033503 Google Scholar
[37]	Szabo J, Warner N, Martinez-Sanchez M, Batishchev O 2014 J. Propuls. Power 30 197 Google Scholar
[38]	Taccogna F, Minelli P 2018 Phys. Plasmas 25 061208 Google Scholar
[39]	Garrigues L, Hagelarr G J M, Boniface C, Boeuf J P 2004 Appl. Phys. Lett. 85 5460 Google Scholar
[40]	Kawashima R, Hara K, Komurasaki K 2018 Plasma Sources Sci. Technol. 27 035010 Google Scholar
[41]	Katz I, Jongeward G, Davis V, et al. 2001 37th AIAA/ASME/SAE/AHS/ASEE Joint Propulsion Conference & Exhibit Salt Lake City, Utah, July 8–11, 2001 AIAA-2001-3355
[42]	Kawashima R, Komurasaki K, Schönherr T Koizumi H 2016 54^th AIAA Aerospace Sciences Meeting San Diego, California, USA, January 4–8, 2016 AIAA-2016-2159
[43]	Kawashima R, Wang Z X, Chamarthi A S 2018 55^th AIAA Aerospace Sciences Meeting Kissimmee, Florida, January 8–12, 2018 AIAA-2018-0175
[44]	Hofer R R, Mikellides I G, Katz I, Goebel D M 2007 43^rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference Honolulu, Hawaii, April 23–26, 2007 AIAA-2007-5267
[45]	Manzella D, Jankovsky R, Elliott F, Mikellides I, Jongeward G, Allen D 2001 27^th International Electric Propulsion Conference Pasadena, CA, October 15–19, 2001 IEPC-2001-044
[46]	Andreussi T, Giannetti V, Leporini A, Saravia M M, Andrenucci M 2017 Plasma Phys. Control. Fusion. 60 014015 Google Scholar
[47]	Fujita D, Kawashima R, Ito Y, Akagi S, Suzuki J, Schonherr T, Koizumi H, Komurasaki K 2014 Vacuum 10 159 Google Scholar

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