Study on the Thermal Stress and Thermal Deformation of the Grids for an Ion Thruster
DOI:
https://doi.org/10.1590/jatm.v18.1429Keywords:
Ion accelerators, Thermal analysis, Thermal deformation, Thermal stressAbstract
The structural stability of the grids has a significant influence on the work performance of ion thrusters. To obtain the thermal deformation of the grids for a 30 cm diameter ion thruster, the structural properties of the grids are equivalently analyzed by material mechanics, and the equivalent results are verified. The finite element method is used to study the distribution of thermal stress and thermal deformation of the grids, and the simulation results indicate that, after the equivalent treatment of the grids, the equivalent Young’s modulus of the screen grid and the accelerator grid are 20.792 GPa and 89.435 GPa, respectively. When the grids are equivalently treated as a circular plate and the edge is not constrained, the maximum thermal deformation of the grids caused by tensile stress is 0.311 mm, and the maximum thermal stress is about 1.512 × 106 Pa, which occurs in the center of the grids. When the grid is equivalently treated as a circular plate and the edge is constrained, the maximum deflection occurs in the geometric center of the circular plate. Moreover, the maximum deflection of the screen grid is about 1.145 mm, and that of the accelerator grid is about 0.665 mm; the relative distance variation between the screen grid and the accelerator grid is 0.480 mm. The hot gap test is conducted after the thruster has been operated stably for 2 hours without beam extraction. By comparing with the initial gap of the grids, the test results show that the gap variation between the screen grid and the accelerator grid is in the range of 0.502 ~ 0.553 mm. The compare results show that the theoretical results are in good agreement with the experimental results, which also proves the accuracy of the equivalent structural properties of the grids.
References
Cao G, Wang GZ, Ren XR (2005) Fundamental solution to one-dimensional heat conduction equation. J Shandong Inst Light Ind 19(4):77-80. https://doi.org/10.3969/j.issn.1004-4280.2005.04.017
Diaz M, Soulas G (2006) Grid gap measurement for an NSTAR ion thruster. Paper presented 2006 29th International Electric Propulsion Conference. Electric Rocket Propulsion Society; Princeton, USA. https://www.mendeley.com/catalogue/46716d42-119f-3082-b65e-da9bfb72950d/
Gao QF, Zhang YS, Wang LB, Zuo G (2008) Finite element analysis of ion thruster grid subassembly based on homogenization method. Vac Cryogen 14(1):45-52. https://doi.org/10.3969/j.issn.1006-7086.2008.01.011
Gatewood B (1957) Thermal stresses with applications to airplanes, missiles, turbines, and nuclear reactors. New York: McGraw-Hill Book Inc.; p. 197-198.
Goebel D, Katz I (2008) Fundamentals of electric propulsion: ion and Hall thrusters. JPL space science and technology series. Hoboken: John Wiley & Sons; p. 206-207.
Haag T, Soulas G (2002) Performance of 8 cm pyrolytic-graphite ion thruster optics. Paper presented 2002 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; Huntsville, USA. https://doi.org/10.2514/6.2003-4557
Haag T, Soulas G (2003) Performance and vibration of 30 cm pyrolytic ion thruster optics. Paper presented 2003 39th Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; Huntsville, USA.
Hassani B, Hinton E (1999a) A review of homogenization and topology optimization I – Homogenization theory for media with periodic structures. Comput Struct 69(9):707-717. https://www.sciencedirect.com/science/article/abs/pii/S004579499800131X?via%3Dihub
Hassani B, Hinton E (1999b) A review of homogenization and topology optimization II – Analytical and numerical solution of homogenization equations. Comput Struct 69(9):719-738. https://www.sciencedirect.com/science/article/abs/pii/S0045794998001321?via%3Dihub
Hassani B, Hinton E (1999c) A review of homogenization and topology optimization III – Topology optimization using optimality criteria. Comput Struct 69(9):739-756. https://www.mendeley.com/catalogue/6c568993-90d6-3034-935f-36de40d30cd4/
Jia YH, Zhang TP, Zheng MF, Li XK (2012) Numerical analysis for electron backstreaming accelerator grid limited voltage for 20 cm Xe electric propulsion thruster grid system. J Propuls Technol 33(6):991-996. https://d.wanfangdata.com.cn/periodical/tjjs201206026
Liu WY, Yang J, Mao GW, Li KZ (2007) Mechanical property evaluation of C/C composite material grids for electron cyclotron resonance thruster. J Propuls Technol 28(6):692-696. https://d.wanfangdata.com.cn/periodical/CiBQZXJpb2RpY2FsQ0hJU29scjkyMDI2MDExMjE3MDQyNhINdGpqczIwMDcwNjAyMhoIamdrbHVrZWo%253D
MacRae G, Zavesky R, Gooder (1982) Structural and thermal response of 30 cm diameter electric propulsion thruster optics. Paper presented 1982 25th Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; Monterey, USA. https://doi.org/10.2514/6.1989-2719
Meckel N, Polaha J (2004) Structural analysis of pyrolytic graphite optics for the HiPEP electric propulsion thruster. Paper presented 2004 40th Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; Fort Lauderdale, USA. https://doi.org/10.2514/6.2004-3629
Mueller J, Brophy J, Brown D (1995) Endurance testing and fabrication of advanced 15-cm and 30-cm carbon-carbon composite grids. Paper presented 1995 31st Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; San Diego, USA. https://doi.org/10.2514/6.1995-2660
Soulas G (2006) Calculation of thermally induced displacements in spherically domed ion engine grids. Paper presented 2006 29th International Electric Propulsion Conference. Electric Rocket Propulsion Society; Princeton, USA. https://www.mendeley.com/catalogue/2b3869a0-9c36-3ebf-948f-25b7ed0e61d1/
Soulas G, Frandina M (2004) Ion engine grid gap measurements. Paper presented 2004 40th Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics; Fort Lauderdale, USA. https://doi.org/10.2514/6.2004-3961
Sun MM, Qi XF (2023) Hot gap measurement of a three-grid system for a 30 cm diameter ion thruster with beam extraction. IEEE Trans Plasma Sci 51(10):3053-3061. https://doi.org/10.1109/TPS.2023.3319534
Sun MM, Zhang TP, Wang L (2014) Thermal analysis of 30 cm diameter thruster. Vac Cryogen 20(3):158-162. https://doi.org/10.3969/j.issn.1006-7086.2014.03.008
Sun XF, Fang XS (2012) Mechanics of materials. 3rd ed. Beijing: Higher Education Press; p. 239-240.
Wen Z, Zhong LW, Wang YB, Ren J (2011) Three-dimensional numerical study on motion laws of ions in electric propulsion thruster optics. High Power Laser Part Beams 24(10):1640-1645. https://doi.org/10.3788/HPLPB20112306.1640
Zhong LW, Liu Y, Li J, Gu Z, Jiang HC, Wang HX, Tang HB (2010) Numerical simulation of characteristics of CEX ions in electric propulsion thruster optical system. Chin J Aeronaut 23:15-21. https://doi.org/10.1016/S1000-9361(09)60182-5
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Fanting Kong, Mingming Sun, Yaotong Ma

This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons — Attribution 4.0 International — CC BY 4.0. Authors are free to Share (copy and redistribute the material in any medium or format) and Adapt (remix, transform, and build upon the material for any purpose, even commercially). JATM allow the authors to retain publishing rights without restrictions.








