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基于图像复原技术与约束最小二乘方滤波器的绝缘子表面电荷反演算法 被引量:6

Inversion Algorithm for Surface Charge on Insulator Based on Image Restoration Technology and Constrained Least Square Filter
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摘要 该文借鉴图像复原技术的处理手段,提出一种针对平移不变系统的绝缘子表面电荷反演算法。通过二维傅里叶变换将电位-电荷间的矩阵运算转换至频域,并利用约束最小二乘方(CLS)滤波器抑制噪声干扰,进而实现了表面电位分布到表面电荷密度分布的推导。进一步,结合仿真算例讨论该算法的实现流程与计算精度,并与常见的维纳滤波法和模拟电荷法的计算结果进行对比;通过引入偏差系数定量分析不同算法对目标信号的复原能力与对噪声信号的抗干扰能力。最后,综合表面电位测量实验与粉尘图法验证算法的有效性。结果表明,该文所述CLS-filter算法能有效滤除测量过程中引入的噪声信号,提升电荷反演稳定性,且在高等级噪声干扰下的计算精度显著优于现有算法。该算法所得电荷分布与粉尘图谱较为吻合,计算结果具备一定的准确性与可靠性。 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.
作者 潘子君 潘成 唐炬 郝留成 王亚祥 Pan Zijun;Pan Cheng;Tang Ju;Hao Liucheng;Wang Yaxiang(School of Electrical Engineering and Automation Wuhan University,Wuhan,430072,China;Pinggao Group Co.Ltd,Pingdingshan,467001,China)
出处 《电工技术学报》 EI CSCD 北大核心 2021年第17期3627-3638,共12页 Transactions of China Electrotechnical Society
基金 国家电网有限公司总部科技项目资助(SGHA0000KXJS1800891)。
关键词 高压直流气体绝缘设备 表面电荷分布 反演算法 平移不变系统 图像复原技术 约束最小二乘方滤波 HVDC gas insulated equipment surface charge distribution inversion algorithm shift-invariant system image restoration technology c onstrained least square filer
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