Research on Electromagnetic Simulation Method of Fusion High-Temperature Superconducting Magnet System

doi:10.12096/j.2096-4528.pgt.24128

Abstract

Abstract:

Objectives The application of high-temperature superconductivity (HTS) magnet system is an important technical route for future tokamak devices. However, the magnetic field anisotropy of the HTS tape and the complex conductor structures greatly increase the complexity of the simulation in the electromagnetic design stage of the HTS magnet system of the fusion device. It is necessary to carry out the corresponding research on the electromagnetic simulation and simplified methods. Methods The finite element simulation software COMSOL was used to establish the overall electromagnetic simulation model and various simplified models of the HTS magnet system, and the related electromagnetic properties were simulated and compared. Results The calculation results of the central magnetic field and the maximum ripple of plasma are mainly controlled by the magnetic field generated by the toroidal field (TF) coil. However, the TF coil has little influence on the magnetic field distribution on the central solenoid (CS) coil. When the detailed structure of the conductor is combined and the magnetic field anisotropy of the HTS tape is considered, the calculated results of the vertical magnetic field show a large difference compared with the overall model. Conclusions The TF coil can only be considered in the calculation of the relevant electromagnetic parameters in the plasma region, and the TF coil can be ignored in the analysis of the magnetic field on the CS coil. In addition, by combining the average current distribution of the conductor structure, the simulation error of the vertical magnetic field of the HTS tape can be effectively reduced.

Key words: nuclear fusion, fusion power, tokamak magnet system, high-temperature superconductivity, electromagnetic analysis, model comparison

CLC Number:

TK 01

Haorui XU, Suxin WANG, Liujiang LI, Zhiyong YAN, Yunfei TAN. Research on Electromagnetic Simulation Method of Fusion High-Temperature Superconducting Magnet System[J]. Power Generation Technology, 2024, 45(6): 1030-1038.

Figures/Tables 15

Tab. 1 Main parameters of superconducting magnet system

参数	数值
中心磁感应强度B_t/T	12
大半径R/m	1.85
小半径a/m	0.57
波纹度δ/%	<0.5

Fig. 1 Cross-section of magnet system

Fig. 2 Calculation model structure of magnet system

Fig. 3 Conductor structure

Fig. 4 Magnetic field distribution of magnet system

Fig. 5 Magnetic field distribution of system model in the equatorial plane

Fig. 6 Ripple distribution of plasma

Fig. 7 Magnetic field distribution of TF coil

Fig. 8 Magnetic field distribution of TF coil model in the equatorial plane

Fig. 9 Magnified ripple curves

Fig. 10 Magnetic field distribution generated by TF coil

Fig.11 Magnetic field distribution in poloidal field coil

Fig. 12 Magnetic field distribution of CS1U

Fig. 13 Absolute error of vertical magnetic field in longitudinal arrangement

Fig. 14 Absolute error of vertical magnetic field in horizontal arrangement

References 23

1	万宝年，徐国盛．EAST全超导托卡马克高约束稳态运行实验研究进展[J]．中国科学(物理学力学天文学)，2019，49(4)：43-55． doi:10.1360/sspma2018-00233
	WAN B N， XU G S ．Advances in experimental research towards high confinement and steady state operation on the experimental advanced superconducting tokamak[J]．Scientia Sinica (Physica，Mechanica & Astronomica)，2019，49(4)：43-55． doi:10.1360/sspma2018-00233
2	SHIMOMURA Y， AYMAR R， CHUYALLOV V ．ITER overview[J]．Nuclear Fusion，1999，39(9)：1295． doi:10.1088/0029-5515/39/9y/307
3	REN Y， ZHU J， GAO X，et al ．Electromagnetic，mechanical and thermal performance analysis of the CFETR magnet system[J]．Nuclear Fusion，2015，55(9)：093002． doi:10.1088/0029-5515/55/9/093002
4	KIM K，IM K， KIM H C，et al ．Design concept of K-DEMO for near-term implementation[J]．Nuclear Fusion，2015，55(5)：053027． doi:10.1088/0029-5515/55/5/053027
5	FEDERICI G， BACHMANN C， BARUCCA L，et al ．Overview of the DEMO staged design approach in Europe[J]．Nuclear Fusion，2019，59(6)：066013． doi:10.1088/1741-4326/ab1178
6	TOBITA K， HIWATARI R， SAKAMOTO Y，et al ．Japan’s efforts to develop the concept of JA DEMO during the past decade[J]．Fusion Science and Technology，2019，75(5)：372-383． doi:10.1080/15361055.2019.1600931
7	HARTWIG Z S， VIEIRA R F， DUNN D，et al ．The SPARC toroidal field model coil program[J]．IEEE Transactions on Applied Superconductivity，2024，34(2)：0600316．
8	Singularity Energy ．HH 70，the world’s first high-temperature superconducting tokamak achieves first plasma！[EB/OL]．(2024-06-18)[2024-06-30]．． doi:10.1063/1.1893359
9	华俊威．Roebel超导复合导体的电磁特性研究与分析[D]．北京：北京交通大学，2021．
	HUA J W ．Research and analysis on electromagnetic characteristics of Roebel superconducting composite conductor[D]．Beijing：Beijing Jiaotong University，2021．
10	王乐，金环，高明，等．REBCO CORC电缆轴向拉伸性能研究[J]．低温与超导，2024，52(5)：20-24．
	WANG L， JIN H， GAO M，et al ．Study on axial tensile properties of REBCO CORC cable[J]．Low temperature and superconductivity，2024，52(5)：20-24．
11	钱新星．大口径CICC型高温超导磁体及其导体结构分析和性能研究[D]．合肥：中国科学技术大学，2021．
	QIAN X X ．Structure analysis and performance study of large diameter CICC high temperature superconducting magnet and its conductor[D]．Hefei：University of Science and Technology of China，2021．
12	聂暘．基于准各向同性高温超导股线的CICC导体及其电磁特性研究[D]．北京：华北电力大学，2022．
	NIE Y ．CICC conductor based on quasi-isotropic high temperature superconducting strands and its electromagnetic characteristics[D]．Beijing：North China Electric Power University，2022．
13	刘勃，武玉．ITER超导磁体线圈电磁分析[J]．低温与超导，2011，39(1)：29-33．
	LIU B， WU Y ．Electromagnetic analysis of superconducting magnet coils ITER[J]．Cryogenics & Superconductivity，2011，39(1)：29-33．
14	YU L， LIU X， GAO X，et al ．Progress in the electromagnetic optimization of the CFETR CS coil[J]．Fusion Engineering and Design，2023，192：113827． doi:10.1016/j.fusengdes.2023.113827
15	SCOTT S， KRAMER G， TOLMAN E，et al ．Ripple-induced fast-ion loss in SPARC due to misaligned TF coils[J]．American Physical Society，2020：8010． doi:10.1017/s0022377820001087
16	纪晓妍，方春华，游海鑫．基于多元非线性回归模型的220 kV电缆油终端缺陷场强预测[J]．智慧电力，2023，51(8)：96-103.
	JI X Y， FANG C H， YOU H X ．Field strength prediction of 220 kV cable oil terminal defects based on multivariate nonlinear regression model[J]．Smart Power，2023，51(8)：96-103．
17	BEAN C P ．Magnetization of high-field superconductors[J]．Reviews of Modern Physics，1964，36(1)：31-38． doi:10.1103/revmodphys.36.31
18	刘君，陈沛龙，吕黔苏，等．考虑累积效应的电力变压器绕组弹塑性形变分析[J]．电力科学与技术学报，2024，39(4)：255-262．
	LIU J， CHEN P L， LÜ Q S，et al ．Elastic-plastic deformation analysis of power transformer windings considering cumulative effect[J]．Journal of Electric Power Science and Technology，2024，39(4)：255-262．
19	GOLFINOPOULOS T， MICHAEL P C， IHLOFF E，et al ．Building the runway：a new superconducting magnet test facility made for the SPARC toroidal field model coil[J]．IEEE Transactions on Applied Superconductivity，2024，34(2)：0600416． doi:10.1109/tasc.2024.3352395
20	CREELY A， GREENWALD M， BALLINGER S，et al ．Overview of the SPARC tokamak[J]．Journal of Plasma Physics，2020，86(5)：865860502．
21	RODRIGUEZ-FERNANDEZ P， CREELY A J， GREENWALD M J，et al ．Overview of the SPARC physics basis towards the exploration of burning-plasma regimes in high-field，compact tokamaks[J]．Nuclear Fusion，2022，62(4)：042003． doi:10.1088/1741-4326/ac1654
22	袁保山，龙永兴，邱银，等．HL-2M环向场线圈电磁场和受力的计算分析[J]．核聚变与等离子体物理，2017，37(3)：249-256．
	YUAN B S， LONG Y X， QIU Y，et al ．Electromagnetic calculation and load analysis of the HL-2M TF coils[J]．Nuclear Fusion and Plasma Physics，2017，37(3)：249-256．
23	LIU J， SONG S， WANG Q，et al ．Critical current analysis of an YBCO insert for ultrahigh-field all-superconducting magnet[J]．IEEE Transactions on Applied Superconductivity，2016，26(3)：4303405． doi:10.1109/tasc.2016.2532472

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