Tensor-Based Harmonic Analysis of Distribution Systems
Over the past few decades, there have been rapid advances in solid-state technology as well as a reduction in cost. This, coupled with the functionality and efficiency improvements they afford, has resulted in a massive increase in the use of electronic devices. Where traditionally, there were a few...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/15/20/7521 |
| _version_ | 1797473597211541504 |
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| author | Muhammad Ramzan Ali Othman Neville R. Watson |
| author_facet | Muhammad Ramzan Ali Othman Neville R. Watson |
| author_sort | Muhammad Ramzan |
| collection | DOAJ |
| description | Over the past few decades, there have been rapid advances in solid-state technology as well as a reduction in cost. This, coupled with the functionality and efficiency improvements they afford, has resulted in a massive increase in the use of electronic devices. Where traditionally, there were a few well-known nonlinear loads that needed to be considered, now there are numerous low-power devices. Although individually insignificant, collectively, they are very significant. This paper presents a tensor-based harmonic analysis approach that is capable of capturing important interactions while being computationally efficient enough to model a large distribution system. Numerical experiments are used to highlight the advantages of the tensor framework. Numerous papers have investigated the tensor parametrisation or its mathematical equivalent—harmonically coupled admittance matrices (also known as frequency coupling matrices). However, this paper, for the first time, demonstrates how these models can be applied to perform harmonic modelling of a complete low voltage (LV) distribution system. |
| first_indexed | 2024-03-09T20:17:45Z |
| format | Article |
| id | doaj.art-b4eacf768adc4b85b80858244ba9958c |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T20:17:45Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-b4eacf768adc4b85b80858244ba9958c2023-11-23T23:56:02ZengMDPI AGEnergies1996-10732022-10-011520752110.3390/en15207521Tensor-Based Harmonic Analysis of Distribution SystemsMuhammad Ramzan0Ali Othman1Neville R. Watson2Transpower New Zealand Ltd., 22 Boulcott Street, Wellington P.O. Box 1021, New ZealandElectrical & Computer Engineering Department, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandElectrical & Computer Engineering Department, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandOver the past few decades, there have been rapid advances in solid-state technology as well as a reduction in cost. This, coupled with the functionality and efficiency improvements they afford, has resulted in a massive increase in the use of electronic devices. Where traditionally, there were a few well-known nonlinear loads that needed to be considered, now there are numerous low-power devices. Although individually insignificant, collectively, they are very significant. This paper presents a tensor-based harmonic analysis approach that is capable of capturing important interactions while being computationally efficient enough to model a large distribution system. Numerical experiments are used to highlight the advantages of the tensor framework. Numerous papers have investigated the tensor parametrisation or its mathematical equivalent—harmonically coupled admittance matrices (also known as frequency coupling matrices). However, this paper, for the first time, demonstrates how these models can be applied to perform harmonic modelling of a complete low voltage (LV) distribution system.https://www.mdpi.com/1996-1073/15/20/7521tensorsharmonic analysisnonlinear devicesfrequency domain |
| spellingShingle | Muhammad Ramzan Ali Othman Neville R. Watson Tensor-Based Harmonic Analysis of Distribution Systems Energies tensors harmonic analysis nonlinear devices frequency domain |
| title | Tensor-Based Harmonic Analysis of Distribution Systems |
| title_full | Tensor-Based Harmonic Analysis of Distribution Systems |
| title_fullStr | Tensor-Based Harmonic Analysis of Distribution Systems |
| title_full_unstemmed | Tensor-Based Harmonic Analysis of Distribution Systems |
| title_short | Tensor-Based Harmonic Analysis of Distribution Systems |
| title_sort | tensor based harmonic analysis of distribution systems |
| topic | tensors harmonic analysis nonlinear devices frequency domain |
| url | https://www.mdpi.com/1996-1073/15/20/7521 |
| work_keys_str_mv | AT muhammadramzan tensorbasedharmonicanalysisofdistributionsystems AT aliothman tensorbasedharmonicanalysisofdistributionsystems AT nevillerwatson tensorbasedharmonicanalysisofdistributionsystems |