基于最小二乘法的EAST托卡马克光学等离子体边缘重建

罗浩; 罗正平; 许超; 姜伟

doi:10.1631/FITEE.1700041

Your Location：

Home >

Browse articles >

基于最小二乘法的EAST托卡马克光学等离子体边缘重建

常规文章 | Updated：2022-05-19

- 基于最小二乘法的EAST托卡马克光学等离子体边缘重建
- Optical plasma boundary reconstruction based on least squares for EAST Tokamak
- 信息与电子工程前沿（英文） 2018年19卷第9期页码：1124-1134
- Affiliations：
  
  Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China
  Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China
- Author bio：
  
  [ "Hao LUO, E-mail: haoluocsc@zju.edu.cn" ]
  [ "Zheng-ping LUO, E-mail: zhpluo@ipp.ac.cn" ]
  [ "Chao XU, E-mail:cxu@zju.edu.cn" ]
  Wei JIANG, E-mail: jiangwei@iipc.zju.edu.cn
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 61375049 and 61473253)
- DOI：10.1631/FITEE.1700041
  中图分类号： TP317.4
- 收稿：2017-01-14，
  
  修回：2018-;7-;8，
  
  网络出版：2018-09-12，
  
  纸质出版：2018-09
- Accepted：
Scan QR Code
罗浩, 罗正平, 许超, 等. 基于最小二乘法的EAST托卡马克光学等离子体边缘重建[J]. 信息与电子工程前沿（英文）, 2018,19(9):1124-1134.

Hao LUO, Zheng-ping LUO, Chao XU, et al. Optical plasma boundary reconstruction based on least squares for EAST Tokamak[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(9): 1124-1134.
罗浩, 罗正平, 许超, 等. 基于最小二乘法的EAST托卡马克光学等离子体边缘重建[J]. 信息与电子工程前沿（英文）, 2018,19(9):1124-1134. DOI： 10.1631/FITEE.1700041.

Hao LUO, Zheng-ping LUO, Chao XU, et al. Optical plasma boundary reconstruction based on least squares for EAST Tokamak[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(9): 1124-1134. DOI： 10.1631/FITEE.1700041.

摘要

重建等离子体位形是托卡马克装置中一个非常重要的课题。平衡与反演编码（equilibrium and fitting

EFIT）是部分托卡马克中常用的等离子体边缘重建方法。然而，这种磁方法有一些不可避免的缺点。提出一种光学等离子体边缘重建算法，将EFIT编码结果作为标准值学习光学重建模型。在边缘提取方面，传统边缘检测方法不能提取较清晰的等离子体边缘。因此，提出一种基于全局对比度的方法在图像平面提取等离子体边缘。这种方法对光照有很好的鲁棒性。用一个同阶多项式和一个转换矩阵拟合提取等离子体边缘和EFIT重建等离子体边缘。为在没有相机标定的前提下获取转换矩阵，用最小二乘法最小化光学边缘和EFIT重建边缘误差，得到一个数学模型，该数学模型将提取的等离子体边缘从一个图像平面转换到托卡马克极向平面。一旦获得这个转换矩阵，便可在捕获的任意图像重建光学等离子体边缘。展示了所提方法和EFIT之间的误差，并讨论不同多项式阶数的实验结果。

Abstract

Reconstructing the shape and position of plasma is an important issue in Tokamaks. Equilibrium and fitting (EFIT) code is generally used for plasma boundary reconstruction in some Tokamaks. However

this magnetic method still has some inevitable disadvantages. In this paper

we present an optical plasma boundary reconstruction algorithm. This method uses EFIT reconstruction results as the standard to create the optimally optical reconstruction. Traditional edge detection methods cannot extract a clear plasma boundary for reconstruction. Based on global contrast

we propose an edge detection algorithm to extract the plasma boundary in the image plane. Illumination in this method is robust. The extracted boundary and the boundary reconstructed by EFIT are fitted by same-order polynomials and the transformation matrix exists. To acquire this matrix without camera calibration

the extracted plasma boundary is transformed from the image plane to the Tokamak poloidal plane by a mathematical model

which is optimally resolved by using least squares to minimize the error between the optically reconstructed result and the EFIT result. Once the transform matrix is acquired

we can optically reconstruct the plasma boundary with only an arbitrary image captured. The error between the method and EFIT is presented and the experimental results of different polynomial orders are discussed.

关键词

Keywords

references

JW Ahn , , , R Maingi , , , D Mastrovito , , , 等 . . High speed infrared camera diagnostic for heat flux measurement in NSTX . . Rev Sci Instrum , , 2010 . . 81 ( ( 2 ): ): 023501 DOI: 10.1063/1.3297899 http://doi.org/10.1063/1.3297899 . .

A Alpers , , , P Gritzmann , , , D Moseev , , , 等 . . 3D particle tracking velocimetry using dynamic discrete tomography . . Comput Phys Commun , , 2015 . . 187 130 - - 136 . . DOI: 10.1016/j.cpc.2014.10.022 http://doi.org/10.1016/j.cpc.2014.10.022 . .

J Canny . . A computational approach to edge detection . . IEEE Trans Patt Anal Mach Intell , , 1986 . . 8 ( ( 6 ): ): 679 - - 698 . . DOI: 10.1109/TPAMI.1986.4767851 http://doi.org/10.1109/TPAMI.1986.4767851 . .

WM Davis , , , RI Patel , , , WU Boeglin . . Advances in fast 2D camera data handling and analysis on NSTX . . Fus Eng Des , , 2010 . . 85 ( ( 3 ): ): 325 - - 327 . . DOI: 10.1016/j.fusengdes.2010.02.005 http://doi.org/10.1016/j.fusengdes.2010.02.005 . .

G Hommen , , , MD Baar , , , P Nuij , , , 等 . . Optical boundary reconstruction of tokamak plasmas for feedback control of plasma position and shape . . Rev Sci Instrum , , 2010 . . 81 ( ( 11 ): ): 113504 DOI: 10.1063/1.3499219 http://doi.org/10.1063/1.3499219 . .

G Hommen , , , M de Baar , , , J Citrin , , , 等 . . A fast, magnetics-free flux surface estimation and q -profile reconstruction algorithm for feedback control of plasma profiles . . Plasma Phys Contr Fus , , 2013 . . 55 ( ( 2 ): ): 025007 http://stacks.iop.org/0741-3335/55/i=2/a=025007 http://stacks.iop.org/0741-3335/55/i=2/a=025007 , , . .

G Hommen , , , M de Baar , , , BP Duval , , , 等 . . Realtime optical plasma boundary reconstruction for plasma position control at the TCV Tokamak . . Nucl Fus , , 2014 . . 54 ( ( 7 ): ): 073018 DOI: 10.1088/0029-5515/54/7/073018 http://doi.org/10.1088/0029-5515/54/7/073018 . .

S Hussain , , , A Qayyum , , , Z Ahmad , , , 等 . . Initial plasma formation in the GLAST-II spherical Tokamak . . J Fus Energy , , 2016 . . 35 ( ( 3 ): ): 529 - - 537 . . DOI: 10.1007/s10894-015-0052-z http://doi.org/10.1007/s10894-015-0052-z . .

D Kumar , , , DJ Clayton , , , M Parman , , , 等 . . Dual transmission grating based imaging radiometer for Tokamak edge and divertor plasmas . . Rev Sci Instrum , , 2012 . . 83 ( ( 10 ): ): 10E511 DOI: 10.1063/1.4732182 http://doi.org/10.1063/1.4732182 . .

V Martin , , , JM Travere , , , F Bremond , , , 等 . . Thermal event recognition applied to protection of Tokamak plasma-facing components . . IEEE Trans Instrum Meas , , 2010 . . 59 ( ( 5 ): ): 1182 - - 1191 . . DOI: 10.1109/TIM.2009.2038032 http://doi.org/10.1109/TIM.2009.2038032 . .

R Mitteau , , , J Spruytte , , , S Vallet , , , 等 . . A possible method of carbon deposit mapping on plasma facing components using infrared thermography . . J Nucl Mater , , 2007 . . 363-365 206 - - 210 . . DOI: 10.1016/j.jnucmat.2007.01.009 http://doi.org/10.1016/j.jnucmat.2007.01.009 . .

T Munsat , , , SJ Zweben . . Derivation of time-dependent two-dimensional velocity field maps for plasma turbulence studies . . Rev Sci Instrum , , 2006 . . 77 ( ( 10 ): ): 103501 DOI: 10.1063/1.2356851 http://doi.org/10.1063/1.2356851 . .

M Odstrcil , , , J Mlynár , , , V Weinzettl , , , 等 . . Dust observation in the compass Tokamak using fast camera . . 22 nd Annual Conf of Doctoral Students , , 2013 . . p.73 - - 79 . . . .

P Perek . . High-performance image processing system for plasma diagnostics . . Int PhD Workshop OWD , , 2013 . . p.328 - - 331 . . . .

A Pironti , , , M Walker . . Fusion, Tokamaks, and plasma control: an introduction and tutorial . . IEEE Contr Syst , , 2005 . . 25 ( ( 5 ): ): 30 - - 43 . . DOI: 10.1109/MCS.2005.1512794 http://doi.org/10.1109/MCS.2005.1512794 . .

P Qi , , , Q Li , , , GN Luo . . Application of infrared thermography in NDT of plasma-facing components for Tokamaks . . 17 th World Conf on Non-destructive Testing , , 2008 . . p.1 - - 8 . . . .

E Xue , , , J Luo , , , S Shu , , , 等 . . Plasma edge detection and tracking in the east superconducting Tokamak discharge . . 3 rd Int Conf on Measuring Technology and Mechatronics Automation , , 2011 . . p.865 - - 868 . . DOI: 10.1109/ICMTMA.2011.499 http://doi.org/10.1109/ICMTMA.2011.499 . .

Z Zhang . . A flexible new technique for camera calibration . . IEEE Trans Patt Anal Mach Intell , , 2000 . . 22 ( ( 11 ): ): 1330 - - 1334 . . DOI: 10.1109/34.888718 http://doi.org/10.1109/34.888718 . .

Y Zhu , , , J Xie , , , WD Liu , , , 等 . . The general optics structure of millimeter-wave imaging diagnostic on Tokamak . . J Instrum , , 2016 . . 11 ( ( 1 ): ): P01004 DOI: 10.1088/1748-0221/11/01/P01004 http://doi.org/10.1088/1748-0221/11/01/P01004 . .

SJ Zweben , , , J McChesney , , , RW Gould . . Optical imaging of edge turbulence in the Caltech Tokamak . . Nucl Fus , , 2011 . . 23 ( ( 6 ): ): 825 - - 830 . . DOI: 10.1088/0029-5515/23/6/010 http://doi.org/10.1088/0029-5515/23/6/010 . .

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据