基于非线性参数估计的永磁移相器安装校正

陈刚; 文春梅; 李煜辉

doi:10.11884/HPLPB201830.180205

基于非线性参数估计的永磁移相器安装校正

doi: 10.11884/HPLPB201830.180205

陈刚^{1, 2,},
文春梅¹,
李煜辉¹

1.
欧洲X射线自由电子激光中心, 德国汉堡 22607
2.
中国工程物理研究院计算机应用研究所, 四川绵阳 621900

基金项目:

国防基础科研计划 JCKY2017212C005

国家自然科学基金项目 61333003

详细信息

作者简介:
陈刚(1985—), 男, 硕士, 从事大型控制系统及数据系统研究, zjukevin@163.com

中图分类号: TL99
计量
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- HTML全文浏览量: 263
- PDF下载量: 80
- 被引次数: 0
出版历程
- 收稿日期: 2018-07-27
- 修回日期: 2018-11-12
- 刊出日期: 2018-12-15

Calibration and installation of a permanent magnet phase shifter based on nonlinear parameter estimation

Chen Gang^{1, 2
,},
Wen Chunmei¹,
Li Yuhui¹

1.
European X-Ray Free-Electron Laser GmbH, Hamburg 22607, Germany
2.
Institute of Computer Application, CAEP, Mianyang 621900, China

摘要

摘要: 介绍了永磁移相器的控制精度对X射线自由电子激光(FEL) 的影响, 分析其误差来源。针对传统运动控制系统检测过程复杂、手动操作精度低等缺点, 提出了基于改进高斯牛顿非线性参数估计法的自动校正系统, 阐述了校正理论与过程。利用该方法对欧洲X射线自由电子激光装置中的移相器做安装校正应用, 使得每台移相器在高磁场应力的环境下间隙位移达到μm级控制精度, 满足工程设计要求。
- 移相器 /
- 控制精度 /
- 高斯牛顿算法 /
- 非线性 /
- 误差补偿
Abstract: For long gap tunable undulator systems in free-electron laser (FEL), phase shifters with high control accuracy are required to ensure that the phases of the radiation field between two adjacent undulators matched with each other.We have studied the impact of control accuracy of phase shifter and analyzed its error sources.This study aims to improve the control accuracy of phase shifters and tries to overcome the shortcomings of the traditional calibration methods, such as complicated calibration procedure and low accuracy manual operations.Based on the improved Gaussian-Newton parameter estimation, this paper proposes an automatic error calibration system for phase shifters, including the preliminary concept and the algorithm.This method has been applied to installing and calibrating all the phase shifters of the European X-ray Free Electron (Euro-XFEL).The control accuracy of each phase shifter reaches micrometer-level in the environment of high magnetic forces, which satisfies the specified engineering design requirements.
- phase shifter /
- control accuracy /
- Gaussian-Newton algorithm /
- nonlinear /
- error compensation

HTML全文

图 1 永磁移相器运动控制系统示意图

Figure 1. Motion control system of permanent magnet phase shifter

下载: 全尺寸图片幻灯片

图 2 仿真校正结果

Figure 2. Calibration results in simulation

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图 3 波荡器单元结构及移相器位置

Figure 3. Structure of undulator cell and position of phase shifter

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图 4 移相器间隙控制误差补偿系统示意图

Figure 4. Error calibration system for gap control of phase shifters

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图 5 补偿前-补偿后移相器系统误差分布图

Figure 5. Error comparison before and after calibration for two operational phase shifters

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表 1 仿真参数估计结果

Table 1. Results of parameter estimation in simulation

parameter	actual value	value for R_SN=10	value for R_SN=20
a	5	4.997	5.006
b	1	1.001	1.001
c	-0.205	-0.206 6	-0.207 2

下载: 导出CSV

表 2 补偿前-补偿后的测量精度

Table 2. Measurement accuracy before and after error calibration

approximation accuracy/mm	phase shifter_1				phase shifter_2
	full range		operational range		full range		operational range
	before	after	before	after	before	after	before	after
e_max	0.226 0	0.002 5	0.226 0	0.002 5	0.216 1	0.004 0	0.216 1	0.003 8
e_mean	0.063 5	0	0.087 2	0	0.029 0	0	0.082 4	0
σ	0.059 8	0.002 0	0.058 6	0.001 6	0.043 9	0.002 0	0.054 2	0.002 1

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参考文献(15)

[1]	刘静, 舒挺, 张军. 欧洲自由电子激光研究进展[J]. 激光与光电子研究进展, 2007, 44(6): 43-47. https://www.cnki.com.cn/Article/CJFDTOTAL-JGDJ200706007.htm Liu Jing, Shu Ting, Zhang Jun. Research development on free electron laser in Europe. Laser & Optoelectronics Progress, 2007, 44(6): 43-47 https://www.cnki.com.cn/Article/CJFDTOTAL-JGDJ200706007.htm
[2]	李鹏, 胡和平, 闫陇刚, 等. CAEP XFEL波荡器束线初步物理设计[J]. 强激光与粒子束, 2015, 27: 045107. doi: 10.11884/HPLPB201527.045107 Li Peng, Hu Heping, Yan Longgang, et al. First design of CAEP XFEL undulator line. High Power Laser and Particle Beams, 2015, 27: 045107 doi: 10.11884/HPLPB201527.045107
[3]	Li Yuhui, Pflueger J. Tuning method for phase shifters with very low first field integral errors for the European X-ray Free Electron Laser[J]. Physical Review Special Topics-Accelerators and Beams, 2015, 18: 030703. doi: 10.1103/PhysRevSTAB.18.030703
[4]	罗长洲, 陈良益, 孙岩, 等. 一种新型光学编码器[J]. 光学精密工程, 2003, 11(1): 104-108. doi: 10.3321/j.issn:1004-924X.2003.01.020 Luo Changzhou, Chen Liangyi, Sun Yan, et al. A new optical encoder. Optics and Precision Engineering, 2003, 11(1): 104-108 doi: 10.3321/j.issn:1004-924X.2003.01.020
[5]	Matsuzoe Y, Tsuji N, Nakayama T, et al. High-performance absolute rotary encoder using multitrack and M-code[J]. Optical Engineering, 2003, 42(1): 124-130. doi: 10.1117/1.1523943
[6]	Yoshizawa Y. Optimizing design of high-resolution optical encoder using a point-source light-emitting diode with slits[J]. Optical Engineering, 2005, 44: 013609. doi: 10.1117/1.1829093
[7]	Orton P, Poliakoff J, Hatiris E, et al. Automatic self-calibration of an incremental motion encoder[C]//Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. 2001: 1614-1618.
[8]	王选择, 郭军, 谢铁帮. 精密衍射光栅信号的椭圆拟合与细分校正算法[J]. 工具技术, 2003, 37(12): 47-49. https://www.cnki.com.cn/Article/CJFDTOTAL-GJJS200312015.htm Wang Xuanze, Guo Jun, Xie Tiebang. Ellipse fit algorithm and subdivision revision method of precision diffraction grating. Tool Technology, 2003, 37(12): 47-49 https://www.cnki.com.cn/Article/CJFDTOTAL-GJJS200312015.htm
[9]	洪喜, 续志军, 杨宁, 等. RBF网络在编码器误差补偿中的应用[J]. 光电工程, 2009, 36(8): 139-142. https://www.cnki.com.cn/Article/CJFDTOTAL-GDGC200908031.htm Hong Xi, Xu Zhijun, Yang Ning, et al. Application of RBF networks for error compensation in optical encoders. Opto-Electronic Engineering, 2009, 36(8): 139-142 https://www.cnki.com.cn/Article/CJFDTOTAL-GDGC200908031.htm
[10]	黄宗升, 秦石乔, 王省书, 等. 光栅角编码器误差分析及用激光陀螺标校的研究[J]. 仪器仪表学报, 2007, 28(10): 1866-1869. doi: 10.3321/j.issn:0254-3087.2007.10.025 Huang Zongsheng, Qin Shiqiao, Wang Xingshu, et al. Error analysis of optical angular encoder and its calibration with ring laser gyro. Chinese Journal of Scientific Instrument, 2007, 28(10): 1866-1869 doi: 10.3321/j.issn:0254-3087.2007.10.025
[11]	王艳永, 邓方, 孙健. 改进的自适应神经模糊推理系统的角度传感器误差补偿方法[J]. 控制理论与应用, 2013, 30(10): 1342-1346. doi: 10.7641/CTA.2013.21208 Wang Yanyong, Deng Fang, Sun Jian. Improved adaptive neural-network-based fuzzy inference system angular sensor error compensation method. Control Theory & Applications, 2013, 30(10): 1342-1346 doi: 10.7641/CTA.2013.21208
[12]	Tikhonov A N, Arsenin V Y. Solutions of ill-posed problems[M]. New York: John Wiley and Sons, 1977.
[13]	Lee S K, Kim H J, Song Y, et al. MT2DInvMatlab-A program in MATLAB and FORTRAN for two-dimensional magnetotelluric inversion[J]. Computers & Geosciences, 2009, 35(8): 1722-1734.
[14]	Karabekyan S, Pannier R, Pfluger J, et al. The local control system of an undulator cell for the European XFEL[C]//Proceedings of the International Conference on Accelerator & Large Experimental Physics Control Systems. 2011.
[15]	Lu H, Li Y, Pfluger J. The permanent magnet phase shifter for the European X-ray free-electron laser[J]. Nulcear Inst & Methods in Physics Research A, 2009, 605(3): 399-408.