Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms
Matrix pencil and Hankel total least squares (HTLS) are two popular ring-down electro- mechanical mode identification algorithms. The appeal of these algorithms can be attributed to faster execution due to the non-iterative procedure of model order determination based on singular value decomposition...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10371292/ |
| _version_ | 1797370513954177024 |
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| author | Krishna Rao K. N. Shubhanga |
| author_facet | Krishna Rao K. N. Shubhanga |
| author_sort | Krishna Rao |
| collection | DOAJ |
| description | Matrix pencil and Hankel total least squares (HTLS) are two popular ring-down electro- mechanical mode identification algorithms. The appeal of these algorithms can be attributed to faster execution due to the non-iterative procedure of model order determination based on singular value decomposition of the data matrix. In this paper, these two algorithms are shown to be equivalent – the data matrix in one being the transpose of that in the other. Although this equivalence is proved in the context of power systems, it is valid for other areas of system identification as well. Further, the performance of these algorithms is examined as noise level in the signal increases, and it is shown that these work right down to an SNR of 1 dB provided the signal has only poorly damped modes. |
| first_indexed | 2024-03-08T18:03:38Z |
| format | Article |
| id | doaj.art-b2210181002d44dd85a915b98672cd20 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-08T18:03:38Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-b2210181002d44dd85a915b98672cd202024-01-02T00:01:58ZengIEEEIEEE Access2169-35362023-01-011114632214633110.1109/ACCESS.2023.334605110371292Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification AlgorithmsKrishna Rao0https://orcid.org/0000-0001-7700-9191K. N. Shubhanga1https://orcid.org/0000-0002-8766-5413Department of Electrical and Electronics Engineering, NMAM Institute of Technology (NMAMIT), Nitte (Deemed to be University), Nitte, Karnataka, IndiaDepartment of Electrical and Electronics Engineering, NITK, Surathkal, Mangaluru, Karnataka, IndiaMatrix pencil and Hankel total least squares (HTLS) are two popular ring-down electro- mechanical mode identification algorithms. The appeal of these algorithms can be attributed to faster execution due to the non-iterative procedure of model order determination based on singular value decomposition of the data matrix. In this paper, these two algorithms are shown to be equivalent – the data matrix in one being the transpose of that in the other. Although this equivalence is proved in the context of power systems, it is valid for other areas of system identification as well. Further, the performance of these algorithms is examined as noise level in the signal increases, and it is shown that these work right down to an SNR of 1 dB provided the signal has only poorly damped modes.https://ieeexplore.ieee.org/document/10371292/Matrix pencilHankel total least squares (HTLS)ring-downelectromechanical mode identification |
| spellingShingle | Krishna Rao K. N. Shubhanga Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms IEEE Access Matrix pencil Hankel total least squares (HTLS) ring-down electromechanical mode identification |
| title | Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms |
| title_full | Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms |
| title_fullStr | Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms |
| title_full_unstemmed | Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms |
| title_short | Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms |
| title_sort | equivalence of matrix pencil and htls ring down electromechanical mode identification algorithms |
| topic | Matrix pencil Hankel total least squares (HTLS) ring-down electromechanical mode identification |
| url | https://ieeexplore.ieee.org/document/10371292/ |
| work_keys_str_mv | AT krishnarao equivalenceofmatrixpencilandhtlsringdownelectromechanicalmodeidentificationalgorithms AT knshubhanga equivalenceofmatrixpencilandhtlsringdownelectromechanicalmodeidentificationalgorithms |