基于弹性范数的接地网电阻抗成像算法

doi:10.19595/j.cnki.1000-6753.tces.240072

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (2065 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract

Electrical Impedance Tomography (EIT) technology, as a non-invasive imaging method, has become one of the important research points in the diagnosis of grounding grid corrosion. Because the mathematical model of EIT inverse problem of grounding grid has the defects of highly pathological, underqualitative and nonlinear, under the existing algorithm, the error between the iterative solution of grounding grid resistivity and the real solution is large, which results in the low spatial resolution of the reconstructed image of grounding grid and serious edge artifacts. In order to solve the existing problems, this paper proposes an electrical impedance imaging algorithm of grounding grid based on L₁-L₂ elastic norm, which restrains and revises the mathematical model of EIT inverse problem of grounding grid, improves the spatial resolution of the reconstructed image of grounding grid, reduces edge artifacts, and improves the efficiency of corrosion diagnosis.
Firstly, the constraint ability of three norm algorithms, L₁, L₂ and L₁-L₂, to the inverse problem of ground grid EIT is analyzed and compared. Secondly, simulation experiments of single branch and double branch corrosion conditions are set up. At the same time, in order to better evaluate the robustness and data processing ability of the algorithm, 5 dB Gaussian white noise is added to all boundary potential measurement data during unknown topology imaging. It can be seen from the simulation results that all the four algorithms can perform imaging corrosion diagnosis for the grounding grid with known topology, but for the unknown grounding grid topology, the quality of reconstructed images under the four algorithms is very different, and serious "false diagnosis" occurs under the L₁ norm algorithm. The stability of the reconstructed structure under L₂ norm algorithm is poor. NOSER algorithm is difficult to reconstruct the basic contours of the grounding grid in most cases. Under the L₁-L₂ elastic norm algorithm, not only the contour edge of the grounding grid can be clearly seen, but also the corrosion branch can be accurately located and diagnosed. Thirdly, the image correlation coefficient (ICC) and image relative error (IRE), which are commonly used in EIT field, are introduced to evaluate the reconstructed images of the ground grid with unknown topology. The results show that L₁-L₂ elastic norm algorithm has the smallest relative error and the largest correlation coefficient. Under the proposed algorithm, the relative error of the reconstructed image is reduced by 22.54% on average and the correlation coefficient is increased by 32.19% on average. It shows that the resistivity solution of grounding grid under this algorithm is closer to the real value. Finally, the effectiveness of the proposed algorithm is further verified by building a galvanized steel model and conducting experiments.
The following conclusions can be drawn from the simulation analysis and real experiments: (1) For the L₁-L₂ elastic norm algorithm, when the regularization parameter α is set to 0.03 and the weight factor ω is set to 0.4, a high-resolution impedance reconfiguration of the grounding grid can be obtained. (2) L₁-L₂ elastic norm has the advantages of both L₁-L₂ norm and L₂ norm, which can effectively improve the ill-condition and underquality of EIT inverse problem of grounding grid, and also has good robustness to Gaussian white noise, so that the mathematical model of grounding grid can obtain an approximate solution closer to the real solution. (3) L₁-L₂ elastic norm algorithm has the smallest relative error and the highest correlation coefficient compared with the other three commonly used algorithms mentioned in this paper, even though the imaging speed is not the fastest among EIT imaging algorithms for grounding grid. The imaging results are best in the acceptable time range.

Key words： Electrical impedance tomography grounding grid corrosion diagnosis algorithm elastic norm

Received: 11 January 2024

PACS:

TM12

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Zhang Weizhe
	Zhang Chengqian
	Liu Jiansheng
	Zhang Liang
	Ma Wenbo

Cite this article:

Zhang Weizhe,Zhang Chengqian,Liu Jiansheng等. Grounding Grid Electrical Impedance Tomography Algorithm Based on Elastic Norm[J]. Transactions of China Electrotechnical Society, 0, (): 240072-240072.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.240072 OR https://dgjsxb.ces-transaction.com/EN/Y0/V/I/240072

[1] 张萍, 吴显腾, 卢盛欣, 等. 基于鲸鱼算法的风机接地网优化设计[J]. 高压电器, 2023, 59(6): 128-136, 153.
Zhang Ping, Wu Xianteng, Lu Shengxin, et al.Optimized design of wind turbine grounding grid based on whale algorithm[J]. High Voltage Apparatus, 2023, 59(6): 128-136, 153.
[2] 周斌, 彭敏放, 黄清秀, 等. 基于节点撕裂和化学反应优化算法的接地网故障诊断[J]. 电力自动化设备, 2017, 37(1): 163-168, 175.
Zhou Bin, Peng Minfang, Huang Qingxiu, et al.Grounding grid fault diagnosis based on node tearing and chemical reaction optimization algorithm[J]. Electric Power Automation Equipment, 2017, 37(1): 163-168, 175.
[3] 张波, 何金良, 曾嵘. 电力系统接地技术现状及展望[J]. 高电压技术, 2015, 41(8): 2569-2582.
Zhang Bo, He Jinliang, Zeng Rong.State of art and prospect of grounding technology in power system[J]. High Voltage Engineering, 2015, 41(8): 2569-2582.
[4] 白世展, 李文胜, 林海军, 等. 基于径向基函数神经网络的肺部加权频差电阻抗成像方法[J]. 生物化学与生物物理进展, 2023, 50(7): 1755-1766.
Bai Shizhan, Li Wensheng, Lin Haijun, et al.Weighted frequency-difference electrical impedance tomography of lung based on RBFNN[J]. Progress in Biochemistry and Biophysics, 2023, 50(7): 1755-1766.
[5] 王子辰, 付荣, 张新宇, 等. 基于Deep CG的肺部电阻抗成像方法[J]. 中国生物医学工程学报, 2023, 42(2): 148-157.
Wang Zichen, Fu Rong, Zhang Xinyu, et al.Reconstruction of thorax image based on deep CG method for electrical impedance tomography[J]. Chinese Journal of Biomedical Engineering, 2023, 42(2): 148-157.
[6] 谢炀, 杨鑫, 黄亚飞, 等. 基于凝聚层次聚类的接地网定向支路减维腐蚀诊断优化方法[J/OL]. 高电压技术, 2023: 1-9[2024-02-06]. https://doi.org/10. 13336/j.1003-6520.hve.20230650.
Xie Yang, Yang Xin, Huang Yafei, et al. Optimization method for dimensional reduction corrosion diagnosis of directional branch of grounding grid based on condensation hierarchical clustering[J/OL]. High Voltage Engineering, 2023: 1-9[2024-02-06]. https://doi.org/10.13336/j.1003-6520.hve.20230650.
[7] 杨帆, 代锋, 姚德贵, 等. 基于最小二乘QR分解算法的接地网磁场重构方法及应用[J]. 电工技术学报, 2016, 31(5): 184-191.
Yang Fan, Dai Feng, Yao Degui, et al.Least square QR factorization arithmetic based magnetic field reconstruction for grounding grid and its application[J]. Transactions of China Electrotechnical Society, 2016, 31(5): 184-191.
[8] 杨家辉, 岳士弘, 于晓. 电学层析成像中软场效应的度量与应用[J]. 传感器与微系统, 2017, 36(7): 157-160.
Yang Jiahui, Yue Shihong, Yu Xiao.Measurement and application of software field effect in ET imaging[J]. Transducer and Microsystem Technologies, 2017, 36(7): 157-160.
[9] 刘杰. 基于电阻抗成像测量原理的接地网腐蚀诊断系统设计[D]. 重庆: 重庆大学, 2012.
Liu Jie.Design of grounding grids diagnosis system based on electrical impedance tomography measurement principle[D]. Chongqing: Chongqing University, 2012.
[10] 代锋. 接地网的电阻抗成像系统与方法研究[D]. 重庆: 重庆大学, 2015.
Dai Feng.Research on electrical impedance tomography system and method of grounding grids [D]. Chongqing: Chongqing University, 2015.
[11] 陈建伟, 钱洲亥, 胡家元. 电阻抗扫描成像技术在变电站接地网故障诊断中的应用研究[J]. 浙江电力, 2017, 36(10): 27-30.
Chen Jianwei, Qian Zhouhai, Hu Jiayuan.Study on application of electrical impedance scanning in fault diagnosis of grounding networks in substation[J]. Zhejiang Electric Power, 2017, 36(10): 27-30.
[12] 李星, 杨帆, 余晓, 等. 基于内源式电阻抗成像的接地网缺陷诊断逆问题研究[J]. 电工技术学报, 2019, 34(5): 902-909.
Li Xing, Yang Fan, Yu Xiao, et al.Research on the inverse problem of grounding grid fault diagnosis based on inner-source EIT[J]. Transactions of China Electrotechnical Society, 2019, 34(5): 902-909.
[13] 黄明祥, 卞宏志, 林奕夫. 基于磁检测电阻抗成像技术的接地网成像重建研究[J]. 计算机与数字工程, 2021, 49(1): 218-222.
Huang Mingxiang, Bian Hongzhi, Lin Yifu.Research on grounding network imaging reconstruction based on magnetic detection resistivity imaging technology[J]. Computer & Digital Engineering, 2021, 49(1): 218-222.
[14] 闫孝姮, 林晓雪, 吕秋皓, 等. 基于Homotopy-Tikhonov算法的接地网电阻抗成像方法[J]. 电工技术学报, 2022, 37(9): 2284-2294.
Yan Xiaoheng, Lin Xiaoxue, (Lü/lv/lu/lyu) Qiuhao, et al. Grounding grid electrical impedance tomography based on homotopy-tikhonov algorithm[J]. Transactions of China Electrotechnical Society, 2022, 37(9): 2284-2294.
[15] 马敏, 余浪, 范文茹. 基于L1/L2正则化电阻抗层析成像算法的碳纤维增强复合材料损伤检测[J]. 激光与光电子学进展, 2023, 60(2): 225-232.
Ma Min, Yu Lang, Fan Wenru.Detection of carbon-fiber-reinforced polymer damage based on L1/L2 regularization electrical impedance tomography algorithm[J]. Laser & Optoelectronics Progress, 2023, 60(2): 225-232.
[16] 丁明亮, 李晓童, 卢立晖. 基于邻域信息和快速FCM的肺部电阻抗成像伪迹优化算法[J]. 电子与信息学报, 2022, 44(9): 3320-3327.
Ding Mingliang, Li Xiaotong, Lu Lihui.Artifact optimization algorithm for pulmonary electrical impedance tomography based on neighborhood information and fast FCM[J]. Journal of Electronics & Information Technology, 2022, 44(9): 3320-3327.
[17] 赵营鸽, 李颖, 王灵月, 等. 基于均值点展开的单变元降维法在EIT不确定性量化研究中的应用[J]. 电工技术学报, 2021, 36(18): 3776-3786.
Zhao Yingge, Li Ying, Wang Lingyue, et al.The application of univariate dimension reduction method based on mean point expansion in the research of electrical impedance tomography uncertainty quantification[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3776-3786.
[18] 闫孝姮, 吕秋皓, 林晓雪, 等. 基于Tikhonov和TV混合正则化的接地网电阻抗成像算法研究[J]. 仪器仪表学报, 2021, 42(11): 160-171.
Yan Xiaoheng, Lü Qiuhao, Lin Xiaoxue, et al.Research on grounding grid electrical impedance tomography algorithm based on Tikhonov and TV hybrid regularization[J]. Chinese Journal of Scientific Instrument, 2021, 42(11): 160-171.
[19] 章伟睿, 张涛, 史学涛, 等. 基于差分迭代的电阻抗成像算法研究[J]. 电工技术学报, 2021, 36(4): 747-755.
Zhang Weirui, Zhang Tao, Shi Xuetao, et al.An algorithm of electrical impedance tomography based on differential iteration[J]. Transactions of China Electrotechnical Society, 2021, 36(4): 747-755.
[20] 夏慧, 刘国强, 黄欣, 等. 注入电流式磁声成像平面模型的逆问题研究[J]. 电工技术学报, 2017, 32(4): 147-153.
Xia Hui, Liu Guoqiang, Huang Xin, et al.The inverse problem study of plane model based on magneto-acoustic tomography with current injection[J]. Transactions of China Electrotechnical Society, 2017, 32(4): 147-153.
[21] Hasegawa T, Yoshida K, Hakozaki T, et al.Severe pressure ulcer caused by an electrode belt for monitoring electrical impedance tomography in two patients in the prone position[J]. JA Clinical Reports, 2023, 9(1): 82.
[22] Jia Yuheng.A review on reconstruction algorithms and hardware implementation in electrical impedance tomography[J]. Journal of Physics: Conference Series, 2023, 2634(1): 012038.
[23] 王森, 骆鸿, 李志忠, 等. 电力系统接地用镀锌扁钢腐蚀分析与研究[J]. 科技导报, 2011, 29(30): 37-42.
Wang Sen, Luo Hong, Li Zhizhong, et al.Corrosion analysis on galvanized flat steel grounding electrode of power system[J]. Science & Technology Review, 2011, 29(30): 37-42.
[24] 陶瑞祥, 王泽忠. 基于有限元的电场区域分解法的广义极小残量迭代算法[J]. 电工技术学报, 2018, 33(2): 225-231.
Tao Ruixiang, Wang Zezhong.Generalized minimal residual iteration method for finite element based domain decomposition technique for electric field problem[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 225-231.
[25] 李思泽, 徐炜, 金振, 等. 一种基于有限元法与改进无网格法耦合的双定子电机振动噪声分析方法(英文)[J]. 电工技术学报, 2023, 38(19): 5112-5127.
Li Siwei, Xu Wei, Jin zhen, et al. A novel vibration-noise calculation method by coupling finite element analysis and optimized meshless method for dual-stator electric machine[J]. Transactions of China Electrotechnical Society, 2023, 38(19): 5112-5127.
[26] 何为, 罗辞勇, 徐征, 等. 电阻抗成像原理[M]. 北京: 科学出版社, 2009.
[27] 李冰. 三维电阻抗成像数值算法和技术基础研究[D]. 重庆: 重庆大学, 2012.
Li Bing.Study on numerical algorithm and fundmental technology of 3D electrical impedance tomography[D]. Chongqing: Chongqing University, 2012.
[28] 毛诗壹, 潘成, 罗毅, 等. 基于混合Lanczos-Tikhonov算法的绝缘子表面电荷反演计算[J]. 电工技术学报, 2023, 38(7): 1921-1934.
Mao Shiyi, Pan Cheng, Luo Yi, et al.Inversion algorithm for surface charge on insulator based on hybrid lanczos-tikhonov algorithm[J]. Transactions of China Electrotechnical Society, 2023, 38(7): 1921-1934.
[29] 王静. 电阻抗成像的几种正则化方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2014.
Wang Jing.Some regularization methods for electrical impedance tomography[D]. Harbin: Harbin Institute of Technology, 2014.
[30] 左从磊. 基于混合全变差正则化法的电阻抗成像算法研究[D]. 合肥: 中国科学技术大学, 2022.
Zuo Conglei.Research on algorithms of electrical impedance tomography based on the hybrid total variation regularization method[D]. Hefei: University of Science and Technology of China, 2022.
[31] 卞亚飞, 汤文明, 张洁, 等. 安徽省电网接地材料Q235钢的土壤腐蚀特性及规律性研究[J]. 中国腐蚀与防护学报, 2024, 44(1): 130-140.
Bian Yafei, Tang Wenming, Zhang Jie, et al.Soil corrosion characteristics of Q235 steel grounding material used in power grid in Anhui Province[J]. Journal of Chinese Society for Corrosion and Protection, 2024, 44(1): 130-140.
[32] 袁涛, 任健行, 司马文霞, 等. 土壤电阻率的负温特性及冻土对接地极冲击响应的影响[J/OL]. 电工技术学报, 2023: 1-12[2024-02-07]. https://doi.org/ 10.19595/j.cnki.1000-6753.tces.222233.
Yuan Tao, Ren Jianxing, Sima Wenxia, et al. Negative temperature characteristics of soil resistivity and influence of frozen soil on impulse response of grounding electrode[J/OL]. Transactions of China Electrotechnical Society, 2023: 1-12[2024-02-07]. https://doi.org/10.19595/j.cnki.1000-6753.tces.222233.