Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources
This paper presents a novel methodology to estimate the harmonic transfer impedances in electric power systems with multiple harmonic sources (HSs). The purpose is to determine the responsibility of each HS for the total harmonic distortion at a specific bus within the system, addressing a critical...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/18/1/85 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841549299682377728 |
|---|---|
| author | Mateus M. de Oliveira Leandro R. M. Silva Igor D. Melo Carlos A. Duque Paulo F. Ribeiro |
| author_facet | Mateus M. de Oliveira Leandro R. M. Silva Igor D. Melo Carlos A. Duque Paulo F. Ribeiro |
| author_sort | Mateus M. de Oliveira |
| collection | DOAJ |
| description | This paper presents a novel methodology to estimate the harmonic transfer impedances in electric power systems with multiple harmonic sources (HSs). The purpose is to determine the responsibility of each HS for the total harmonic distortion at a specific bus within the system, addressing a critical issue in the power quality field. To achieve this objective, it is necessary to estimate not only the individual HS, but also the transfer impedances between each source and the bus under analysis (BUA). Most methods for solving this problem are based on proper network modeling or restrict variations in harmonic sources to a single source at a time. The proposed methodology has overcome this limitation. For this, synchronized current and voltage phasors are measured at the BUA. Once the measurements are gathered, the Independent Component Analysis (ICA) method is applied to estimate the Norton equivalent. The harmonic transfer impedance (HTI) is then determined using the information provided by the ICA. To enhance the accuracy of HTI estimation, three procedures are employed for data mining the parameters provided by ICA over time to generate a well-conditioned system. Once the HTI is satisfactorily determined, the individual harmonic contributions (IHCs), i.e., the harmonic responsibility, can be estimated accurately. The effectiveness and performance of the method are demonstrated based on computational simulations using distribution and transmission systems. Additionally, the methodology is validated with real data collected from a Brazilian transmission system monitored by synchronized power quality measurement units. Simulated results show that the Total Vector Error (TVE) is less than 0.4%, and for the field data test, the TVE is less than 2%. |
| format | Article |
| id | doaj-art-c64a7eaab9af41e18a48e5a3ddc4b09d |
| institution | Kabale University |
| issn | 1996-1073 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj-art-c64a7eaab9af41e18a48e5a3ddc4b09d2025-01-10T13:17:02ZengMDPI AGEnergies1996-10732024-12-011818510.3390/en18010085Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic SourcesMateus M. de Oliveira0Leandro R. M. Silva1Igor D. Melo2Carlos A. Duque3Paulo F. Ribeiro4Department of Electrical Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilDepartment of Electrical Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilDepartment of Electrical Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilDepartment of Electrical Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilDepartment of Electrical Engineering, Federal University of Itajubá, Itajubá 37500-903, BrazilThis paper presents a novel methodology to estimate the harmonic transfer impedances in electric power systems with multiple harmonic sources (HSs). The purpose is to determine the responsibility of each HS for the total harmonic distortion at a specific bus within the system, addressing a critical issue in the power quality field. To achieve this objective, it is necessary to estimate not only the individual HS, but also the transfer impedances between each source and the bus under analysis (BUA). Most methods for solving this problem are based on proper network modeling or restrict variations in harmonic sources to a single source at a time. The proposed methodology has overcome this limitation. For this, synchronized current and voltage phasors are measured at the BUA. Once the measurements are gathered, the Independent Component Analysis (ICA) method is applied to estimate the Norton equivalent. The harmonic transfer impedance (HTI) is then determined using the information provided by the ICA. To enhance the accuracy of HTI estimation, three procedures are employed for data mining the parameters provided by ICA over time to generate a well-conditioned system. Once the HTI is satisfactorily determined, the individual harmonic contributions (IHCs), i.e., the harmonic responsibility, can be estimated accurately. The effectiveness and performance of the method are demonstrated based on computational simulations using distribution and transmission systems. Additionally, the methodology is validated with real data collected from a Brazilian transmission system monitored by synchronized power quality measurement units. Simulated results show that the Total Vector Error (TVE) is less than 0.4%, and for the field data test, the TVE is less than 2%.https://www.mdpi.com/1996-1073/18/1/85power qualityharmonic transfer impedance estimationharmonic responsibilityindependent component analysis |
| spellingShingle | Mateus M. de Oliveira Leandro R. M. Silva Igor D. Melo Carlos A. Duque Paulo F. Ribeiro Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources Energies power quality harmonic transfer impedance estimation harmonic responsibility independent component analysis |
| title | Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources |
| title_full | Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources |
| title_fullStr | Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources |
| title_full_unstemmed | Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources |
| title_short | Independent Component Analysis-Based Harmonic Transfer Impedance Estimation for Networks with Multiple Harmonic Sources |
| title_sort | independent component analysis based harmonic transfer impedance estimation for networks with multiple harmonic sources |
| topic | power quality harmonic transfer impedance estimation harmonic responsibility independent component analysis |
| url | https://www.mdpi.com/1996-1073/18/1/85 |
| work_keys_str_mv | AT mateusmdeoliveira independentcomponentanalysisbasedharmonictransferimpedanceestimationfornetworkswithmultipleharmonicsources AT leandrormsilva independentcomponentanalysisbasedharmonictransferimpedanceestimationfornetworkswithmultipleharmonicsources AT igordmelo independentcomponentanalysisbasedharmonictransferimpedanceestimationfornetworkswithmultipleharmonicsources AT carlosaduque independentcomponentanalysisbasedharmonictransferimpedanceestimationfornetworkswithmultipleharmonicsources AT paulofribeiro independentcomponentanalysisbasedharmonictransferimpedanceestimationfornetworkswithmultipleharmonicsources |