Power Flow Solution in Unbalanced 3-Wire MV and 4-Wire LV Networks Using Symmetrical and Eigen-basis Coordinates
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915630721007616 |
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| author | Aljadani, Abduljalil S. Nazir, Firdous U. Pal, Bikash C. Džafić, Izudin Jabr, Rabih A. |
| author_facet | Aljadani, Abduljalil S. Nazir, Firdous U. Pal, Bikash C. Džafić, Izudin Jabr, Rabih A. |
| contents | The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is crucial for the real-time management of modern distribution networks. Traditional methods in symmetrical coordinates are primarily limited to the three-wire model of three-phase networks, often leading to inaccuracies in power flow calculations when applied to three-phase four-wire LV segments. This paper introduces a novel power flow method for integrated three-wire MV and four-wire LV networks. Using eigenvector decomposition to diagonalize the admittance matrix of four-wire LV lines, the proposed method improves the computational efficiency of power flow calculations and accurately calculates the neutral-to-ground voltage. The results of the case studies show over 50\% reduction in the number of non-zero elements in the LU factors of the bus admittance matrix, and speed-up factors of 2.78 on the IEEE 123-node test system and 3.63 on the IEEE 8500-node test system in execution times for Volt/Var control (VVC), compared to the phase coordinates model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power Flow Solution in Unbalanced 3-Wire MV and 4-Wire LV Networks Using Symmetrical and Eigen-basis Coordinates Aljadani, Abduljalil S. Nazir, Firdous U. Pal, Bikash C. Džafić, Izudin Jabr, Rabih A. Systems and Control The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is crucial for the real-time management of modern distribution networks. Traditional methods in symmetrical coordinates are primarily limited to the three-wire model of three-phase networks, often leading to inaccuracies in power flow calculations when applied to three-phase four-wire LV segments. This paper introduces a novel power flow method for integrated three-wire MV and four-wire LV networks. Using eigenvector decomposition to diagonalize the admittance matrix of four-wire LV lines, the proposed method improves the computational efficiency of power flow calculations and accurately calculates the neutral-to-ground voltage. The results of the case studies show over 50\% reduction in the number of non-zero elements in the LU factors of the bus admittance matrix, and speed-up factors of 2.78 on the IEEE 123-node test system and 3.63 on the IEEE 8500-node test system in execution times for Volt/Var control (VVC), compared to the phase coordinates model. |
| title | Power Flow Solution in Unbalanced 3-Wire MV and 4-Wire LV Networks Using Symmetrical and Eigen-basis Coordinates |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2511.17104 |