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Inversion Algorithm for Surface Charge on Insulator Based on Image Restoration Technology and Constrained Least Square Filter |
Pan Zijun1, Pan Cheng1, Tang Ju1, Hao Liucheng2, Wang Yaxiang2 |
1. School of Electrical Engineering and Automation Wuhan University Wuhan 430072 China; 2. Pinggao Group Co. Ltd Pingdingshan 467001 China |
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Abstract Based on the digital image restoration technology, for the shift-invariant system, a surface charge inversion algorithm was proposed in this paper. The matrix calculation between potential and charge was transferred into the frequency domain by the 2-D Fourier transform, and the noise signal was suppressed by the Constrained Least Square Filter (CLS-Filter). Afterwards, the deduction from surface potential distribution to surface charge density distribution was actualized. The calculating process and accuracy of the algorithm were discussed with the simulation, and its calculation performance was compared with the Wiener filter method and simulated charge method. Furthermore, the ability of image restoration and anti-jamming of different algorithms were quantitatively analyzed by introducing the deviation coefficient. In the end, the effectiveness of the algorithm was verified by surface potential measurement and dust figure method. The results showed that the CLS-Filter algorithm can restrain the noise signal effectively, improving the stability of charge inversion. And its calculated accuracy was significantly better than the existing algorithms at the high noise level. The calculated charge distribution agreed well with the dust figure, implying a certain accuracy and reliability of the algorithm.
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Received: 02 April 2021
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[1] 杜伯学, 韩晨磊, 李进, 等. 高压直流电缆聚乙烯绝缘材料研究现状[J]. 电工技术学报, 2019, 34(1): 179-191. Du Boxue, Han Chenlei, Li Jin, et al.Research status of polyethylene insulation for high voltage direct current cables[J]. Transactions of China Electrotechnical Society, 2019, 34(1): 179-191. [2] 梁虎成, 杜伯学, 陈允, 等. 基于迭代算法的功能梯度绝缘子介电常数分布优化[J]. 电工技术学报, 2020, 35(17): 3758-3764. Liang Hucheng, Du Boxue, Chen Yun, et al.Permittivity distribution optimization of functionally graded insulator based on iterative method[J]. Transactions of China Electrotechnical Society, 2020, 35(17): 3758-3764. [3] Li Jin, Liang Hucheng, Du Boxue, et al.Surface functional graded spacer for compact HVDC gaseous insulated system[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2019, 26(2): 664-667. [4] 王渊, 马国明, 周宏扬, 等. SF6/N2混合气体中直流叠加雷电冲击复合电压作用下绝缘子闪络特性[J]. 电工技术学报, 2019, 34(14): 3084-3092. Wang Yuan, Ma Guoming, Zhou Hongyang, et al.Flashover characteristics of spacers in SF6/N2-filled under composite voltage of DC and lightning impulse[J]. Transactions of China Electrotechnical Society, 2019, 34(14): 3084-3092. [5] 唐炬, 潘成, 王邸博, 等. 高压直流绝缘材料表面电荷积聚研究进展[J]. 电工技术学报, 2017, 32(8): 10-21. Tang Ju, Pan Cheng, Wang Dibo, et al.Development of studies about surface charge accumulation on insulating material under HVDC[J]. Transactions of China Electrotechnical Society, 2017, 32(8): 10-21. [6] Pan Cheng, Wu Kai, Chen George, et al.Understanding partial discharge behavior from the memory effect induced by residual charges: a review[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2020, 27(6): 1951-1965. [7] 罗毅, 唐炬, 潘成, 等. 直流GIS/GIL 盆式绝缘子表面电荷主导积聚方式的转变机理[J]. 电工技术学报, 2019, 34(23): 5039-5048. Luo Yi, Tang Ju, Pan Cheng, et al.Development of studies about surface charge accumulation on insulating material under HVDC[J]. Transactions of China Electrotechnical Society, 2019, 34(23): 5039-5048. [8] 汪沨, 梁芳蔚, 钟理鹏, 等. 基于X射线短时照射的高压直流 GIS/GIL 绝缘子表面电荷主动消散方法[J]. 电工技术学报, 2020, 35(14): 3147-3152. Wang Feng, Liang Fangwei, Zhong Lipeng, et al.Active charge dissipation method for surface charge on the surface of DC GIS/GIL insulator based on short-time X-ray irradiation[J]. Transactions of China Electrotechnical Society, 2020, 35(14): 3147-3152. [9] 谢庆, 张采芹, 闫纪源, 等. 不均匀直流电场下绝缘材料表面电荷积聚与消散特性[J]. 电工技术学报, 2019, 34(4): 817-830. Xie Qing, Zhang Caiqin, Yan Jiyuan, et al.Study on accumulation and dissipation of surface charges of insulating materials under uneven DC field[J]. Transactions of China Electrotechnical Society, 2019, 34(4): 817-830. [10] Davies D K.The examination of the electrical properties of insulators by surface charge measurement[J]. Journal of Scientific Instruments, 1967, 44(7): 521-524. [11] Kumada A, Okabe S.Measurement of surface charge on opposite sides of a planar insulator using an electrostatic probe[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2004, 11(6): 919-928. [12] 林川杰, 李传扬, 张贵新, 等. 盆式绝缘子表面电荷反演算法综述及展望[J]. 中国电机工程学报, 2016, 36(24): 6654-6663. Lin Chuanjie, Li Chuanyang, Zhang Guixin, et al.Review and prospect of surface charge inversion algorithm of cone-type spacer based on surface potential measurements[J]. Proceedings of the CSEE, 2016, 36(24): 6654-6663. [13] 穆海宝, 张冠军, 郑楠, 等. Pockels 效应表面电荷测量中电荷反演算法的研究[J]. 中国电机工程学报, 2011, 31(13): 135-141. Mu Haibao, Zhang Guanjun, Zheng Nan, et al.Charge inversion algorithm in surface charge measurement based on pockels effect[J]. Proceedings of the CSEE, 2011, 31(13): 135-141. [14] Takuma T, Yashima M, Kawamoto T.Principle of surface charge measurement for thick insulating specimens[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 1998, 5(4): 497-504. [15] Ootera H, Nakanishi K.Analytical method for evaluating surface charge distribution on a dielectric from capacitive probe measurement-application to a cone-type spacer in ±500 kV DC-GIS[J]. IEEE Transactions on Power Delivery, 1988, 3(1): 165-172. [16] Rerup T, Crichton G, Mcallister I.Using the λ function to evaluate probe measurements of charged dielectric surfaces[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 1997, 4(4): 470-473. [17] Faircloth D, Allen N.High resolution measurements of surface charge densities on insulator surfaces[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2003, 10(2): 285-290. [18] 张博雅, 王强, 祁喆, 等. 直流电压下聚合物表面电荷测量方法及积聚特性[J]. 中国电机工程学报, 2016, 36(24): 6664-6674. Zhang Boya, Wang Qiang, Qi Zhe, et al.Measurement method and accumulation characteristics of surface charge distribution on polymeric material under DC voltage[J]. Proceedings of the CSEE, 2016, 36(24): 6664-6674. [19] Kumada A, Okabe S.Charge distribution measurement on a truncated cone spacer under dc voltage[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2004, 11(6): 929-938. [20] Zhang Boya, Gao Wenqiang, Qi Zhe, et al.Inversion algorithm to calculate charge density on solid dielectric surface based on surface potential measurement[J]. IEEE Transactions on Instrumentation and Measurement, 2017, 66(12): 3316-3326. [21] Tikhonov A N, Arsenin V Y.Solutions of ill-posed problems[M]. New York: Winston-Wiley, 1977. [22] 穆海宝. 交流电压下针板电极聚合物绝缘薄膜表面放电电荷分布特性研究[D]. 西安: 西安交通大学, 2011. [23] Kumada A, Okabe S, Hidaka K.Resolution and signal processing technique of surface charge density measurement with electrostatic probe[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2004, 11(1): 122-129. [24] 邓军波, 王涵, 薛建议, 等. 基于静电探头法的表面电荷密度分布及电场分布的改进反演算法研究[J]. 中国电机工程学报, 2018, 38(4): 1239-1247. Deng Junbo, Wang Han, Xue Jianyi, et al.Improved reverse algorithm of surface charge density distribution and electric field distribution based on electrostatic probe[J]. Proceedings of the CSEE, 2018, 38(4): 1239-1247. [25] 冈萨雷斯, 伍兹. 数字图像处理[M]. 3版. 阮琦, 等译. 北京: 电子工业出版社, 2017. [26] Zhang Boya, Qi Zhe, Zhang Guixin.Charge accumulation patterns on spacer surface in HVDC gas-insulated system: dominant uniform charging and random charge speckles[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2017, 24(2): 1229-1238. [27] 张博雅, 张贵新. 直流GIL 中固-气界面电荷特性研究综述Ⅰ: 测量技术及积聚机理[J]. 电工技术学报, 2018, 33(20): 4649-4662. Zhang Boya, Zhang Guixin.Review of charge accumulation characteristics at gas-solid interfacein DC GIL, part I: measurement and mechanisms[J]. Transactions of China Electrotechnical Society, 2018, 33(20): 4649-4662. [28] Hunt B R.The application of constrained least squares estimation to image restoration by digital computer[J]. IEEE Transactions on Computers, 1973, 100(9): 805-812. [29] 王邸博. 直流电压下聚四氟乙烯表面电荷的聚散及其对闪络特性的影响[D]. 重庆: 重庆大学, 2015. [30] Pan Cheng, Tang Ju, Wang Dibo, et al.Influence of temperature on the characteristics of surface charge accumulation on PTFE model insulators[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2017, 24(2): 1210-1219. [31] Pan Zijun, Tang Ju, Pan Cheng, et al.Contribution of Nano-SiC/Epoxy coating with nonlinear conduction characteristic to surface charge accumulation under DC voltage[J]. Journal of Physics D: Applied Physics, 2020, 53(36): 365303. [32] Zhang Lei, Lin Chuanjie, Li Chuanyang, et al.Gas-solid interface charge characterisation techniques for HVDC GIS/GIL insulators[J]. High Voltage, 2020, 5(2): 95-109. [33] Kindersberger J, Lederle C.Surface charge decay on insulators in air and sulfurhexafluorid-part I: simulation[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2008, 15(4): 941-948. [34] Kindersberger J, Lederle C.Surface charge decay on insulators in air and sulfurhexafluorid-part II: measurements[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2008, 15(4): 949-957. [35] 张博雅, 张贵新, 高文强, 等. 固-气界面电荷消散特性及其动力学过程[J]. 中国电机工程学报, 2018, 39(8): 2477-2488. Zhang Boya, Zhang Guixin, Gao Wenqiang, et al.Charge dissipation characteristics and kinetics on the gas-solid interface[J] . Proceedings of the CSEE, 2018, 39(8): 2477-2488. |
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