A High Robustness Surface Charge Inversion Method Based on B-spline Basis Functions
In recent years, surface flashover faults have occurred frequently in the core of the converter transformer valve side bushing, and the surface charge distribution at the gas-solid interface directly affects the insulation performance along the surface of the core. High-precision surface charge inve...
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| Vydáno v: | IEEE transactions on dielectrics and electrical insulation s. 1 |
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2025
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| ISSN: | 1070-9878, 1558-4135 |
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| Abstract | In recent years, surface flashover faults have occurred frequently in the core of the converter transformer valve side bushing, and the surface charge distribution at the gas-solid interface directly affects the insulation performance along the surface of the core. High-precision surface charge inversion algorithms are essential for studying the accumulation characteristics of charge at the gas-solid interface. This paper establishes a method that uses B-spline basis functions as the basis for surface charge inversion. Through geometric mapping, normalized nearly uniform B-spline curves and cyclic B-spline curves are mapped onto the surface of the object under test. The basis functions representing the surface charge distribution of the object are constructed by the product of the B-spline curves in the height direction of the sample and those in the circumferential direction. A simulation is conducted to construct the overdetermined equations relating potential and charge, achieving efficient and stable solutions using the LSMR iterative algorithm and the GCV regularization parameter selection method. This paper demonstrates the advantages of B-spline basis functions in characterizing the continuous distribution of surface charges at the gas-solid interface through fitting examples of two-dimensional continuous functions using both B-spline and binary rectangular window basis functions. It is verified that B-spline basis functions can achieve better inversion results with fewer basis functions in the surface charge inversion process, thus reducing computational complexity. Finally, the reliability of using B-spline basis functions as the basis for inversion is validated through dust pattern experiments and inversion of measured data. |
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| AbstractList | In recent years, surface flashover faults have occurred frequently in the core of the converter transformer valve side bushing, and the surface charge distribution at the gas-solid interface directly affects the insulation performance along the surface of the core. High-precision surface charge inversion algorithms are essential for studying the accumulation characteristics of charge at the gas-solid interface. This paper establishes a method that uses B-spline basis functions as the basis for surface charge inversion. Through geometric mapping, normalized nearly uniform B-spline curves and cyclic B-spline curves are mapped onto the surface of the object under test. The basis functions representing the surface charge distribution of the object are constructed by the product of the B-spline curves in the height direction of the sample and those in the circumferential direction. A simulation is conducted to construct the overdetermined equations relating potential and charge, achieving efficient and stable solutions using the LSMR iterative algorithm and the GCV regularization parameter selection method. This paper demonstrates the advantages of B-spline basis functions in characterizing the continuous distribution of surface charges at the gas-solid interface through fitting examples of two-dimensional continuous functions using both B-spline and binary rectangular window basis functions. It is verified that B-spline basis functions can achieve better inversion results with fewer basis functions in the surface charge inversion process, thus reducing computational complexity. Finally, the reliability of using B-spline basis functions as the basis for inversion is validated through dust pattern experiments and inversion of measured data. |
| Author | Peng, Zongren Dong, Qiancheng Wang, Qingyu Liu, Peng Shi, Shifeng Li, Yang Yang, Xi Niu, Qinghua Xie, Gengsheng |
| Author_xml | – sequence: 1 givenname: Qingyu orcidid: 0000-0001-9671-8305 surname: Wang fullname: Wang, Qingyu email: wqy.1991624@xjtu.edu.cn organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 2 givenname: Yang orcidid: 0000-0001-5998-1307 surname: Li fullname: Li, Yang email: 2387993122@qq.com organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 3 givenname: Gengsheng orcidid: 0000-0002-6658-2846 surname: Xie fullname: Xie, Gengsheng email: xiegs126@126.com organization: State Grid Shanghai Electric Power Company Electric Power Science Research Institute, Shanghai, China – sequence: 4 givenname: Qinghua surname: Niu fullname: Niu, Qinghua email: nqh17835054950@163.com organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 5 givenname: Qiancheng surname: Dong fullname: Dong, Qiancheng email: 3407788514@qq.com organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 6 givenname: Shifeng orcidid: 0009-0008-3119-078X surname: Shi fullname: Shi, Shifeng email: XJTUssf@163.com organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 7 givenname: Peng orcidid: 0000-0002-0509-2552 surname: Liu fullname: Liu, Peng email: pengliu@mail.xjtu.edu.cn organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 8 givenname: Zongren orcidid: 0000-0003-4344-3701 surname: Peng fullname: Peng, Zongren email: pengzr@mail.xjtu.edu.cn organization: State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an, China – sequence: 9 givenname: Xi orcidid: 0000-0003-2211-4917 surname: Yang fullname: Yang, Xi email: yangxi@hfut.edu.cn organization: Hefei University of Technology, Hefei, Anhui Province, China |
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| Snippet | In recent years, surface flashover faults have occurred frequently in the core of the converter transformer valve side bushing, and the surface charge... |
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| SubjectTerms | B-spline Basis function Binary rectangular window Charge measurement Computational complexity Electric potential Inversion algorithm Iterative methods Mathematical models Splines (mathematics) Surface charge Surface treatment Training Transformer cores Windows |
| Title | A High Robustness Surface Charge Inversion Method Based on B-spline Basis Functions |
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