Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton
There are Rogowski coils of various shapes in the on-site measurement, and it is difficult to calculate the electrical quantities of Rogowski coils of curved skeleton and circular cross-section by simulation software. This paper proposes a theoretical derivation to calculate the mutual inductance be...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/19/15/3397 |
| _version_ | 1828152686834352128 |
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| author | Xiaoyu Liu Hui Huang Chaoqun Jiao |
| author_facet | Xiaoyu Liu Hui Huang Chaoqun Jiao |
| author_sort | Xiaoyu Liu |
| collection | DOAJ |
| description | There are Rogowski coils of various shapes in the on-site measurement, and it is difficult to calculate the electrical quantities of Rogowski coils of curved skeleton and circular cross-section by simulation software. This paper proposes a theoretical derivation to calculate the mutual inductance between the conductors of any shape and Rogowski coils with skeletons of any shape. Based on the derivation, the influence of four skeleton shapes of Rogowski coils and four shapes of the primary conductors on the mutual inductance of Rogowski coils are studied by the comparison between the ideal cases and some non-ideal ones. The gap and gap compensation of the openable Rogowski coils are also considered. Experiments verify the numerical results according to the derivation. It is shown that to reduce the errors of the measurement the circular skeleton deformation should be avoided, the coil’s skeleton should be with curved angle, the primary conductor should be as straight as possible and should go through the center of the skeletons vertically. Furthermore, for the Rogowski coils of the rectangular skeleton, we propose a new skeleton structure to reduce the deviation influence of the primary conductors. |
| first_indexed | 2024-04-11T22:14:51Z |
| format | Article |
| id | doaj.art-9e1067a3d86f4a86bbb5565da35a4aff |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T22:14:51Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-9e1067a3d86f4a86bbb5565da35a4aff2022-12-22T04:00:27ZengMDPI AGSensors1424-82202019-08-011915339710.3390/s19153397s19153397Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary SkeletonXiaoyu Liu0Hui Huang1Chaoqun Jiao2School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, ChinaThere are Rogowski coils of various shapes in the on-site measurement, and it is difficult to calculate the electrical quantities of Rogowski coils of curved skeleton and circular cross-section by simulation software. This paper proposes a theoretical derivation to calculate the mutual inductance between the conductors of any shape and Rogowski coils with skeletons of any shape. Based on the derivation, the influence of four skeleton shapes of Rogowski coils and four shapes of the primary conductors on the mutual inductance of Rogowski coils are studied by the comparison between the ideal cases and some non-ideal ones. The gap and gap compensation of the openable Rogowski coils are also considered. Experiments verify the numerical results according to the derivation. It is shown that to reduce the errors of the measurement the circular skeleton deformation should be avoided, the coil’s skeleton should be with curved angle, the primary conductor should be as straight as possible and should go through the center of the skeletons vertically. Furthermore, for the Rogowski coils of the rectangular skeleton, we propose a new skeleton structure to reduce the deviation influence of the primary conductors.https://www.mdpi.com/1424-8220/19/15/3397Rogowski coilshape of the skeletoncurrent measurementshape of the primary conductors |
| spellingShingle | Xiaoyu Liu Hui Huang Chaoqun Jiao Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton Sensors Rogowski coil shape of the skeleton current measurement shape of the primary conductors |
| title | Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton |
| title_full | Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton |
| title_fullStr | Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton |
| title_full_unstemmed | Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton |
| title_short | Modeling and Analyzing the Mutual Inductance of Rogowski Coils of Arbitrary Skeleton |
| title_sort | modeling and analyzing the mutual inductance of rogowski coils of arbitrary skeleton |
| topic | Rogowski coil shape of the skeleton current measurement shape of the primary conductors |
| url | https://www.mdpi.com/1424-8220/19/15/3397 |
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