A Modification of Newton–Raphson Power Flow for Using in LV Distribution System
The Newton–Raphson (NR) method is still frequently applied for computing load flow (LF) due to its precision and quadratic convergence properties. To compute LF in a low voltage distribution system (LVDS) with unbalanced topologies, each branch model in the LVDS can be simplified by defining the neu...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-11-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/14/22/7600 |
| _version_ | 1797510494600298496 |
|---|---|
| author | Anuwat Chanhome Surachai Chaitusaney |
| author_facet | Anuwat Chanhome Surachai Chaitusaney |
| author_sort | Anuwat Chanhome |
| collection | DOAJ |
| description | The Newton–Raphson (NR) method is still frequently applied for computing load flow (LF) due to its precision and quadratic convergence properties. To compute LF in a low voltage distribution system (LVDS) with unbalanced topologies, each branch model in the LVDS can be simplified by defining the neutral and ground voltages as zero and then using Kron’s reduction to transform into a 3 × 3 branch matrix, but this decreases accuracy. Therefore, this paper proposes a modified branch model that is also reduced into a 3 × 3 matrix but is derived from the impedances of the phase-A, -B, -C, neutral, and ground conductors together with the grounding resistances, thereby increasing the accuracy. Moreover, this paper proposes improved LF equations for unbalanced LVDS with both PQ and PV nodes. The improved LF equations are based on the polar-form power injection approach. The simulation results show the effectiveness of the modified branch model and the improved LF equations. |
| first_indexed | 2024-03-10T05:32:18Z |
| format | Article |
| id | doaj.art-2e2cd527ba56436086c1191201987ec6 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T05:32:18Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-2e2cd527ba56436086c1191201987ec62023-11-22T23:10:44ZengMDPI AGEnergies1996-10732021-11-011422760010.3390/en14227600A Modification of Newton–Raphson Power Flow for Using in LV Distribution SystemAnuwat Chanhome0Surachai Chaitusaney1Power System Research Laboratory, Department of Electrical Engineering, Chulalongkorn University, Bangkok 10330, ThailandPower System Research Laboratory, Department of Electrical Engineering, Chulalongkorn University, Bangkok 10330, ThailandThe Newton–Raphson (NR) method is still frequently applied for computing load flow (LF) due to its precision and quadratic convergence properties. To compute LF in a low voltage distribution system (LVDS) with unbalanced topologies, each branch model in the LVDS can be simplified by defining the neutral and ground voltages as zero and then using Kron’s reduction to transform into a 3 × 3 branch matrix, but this decreases accuracy. Therefore, this paper proposes a modified branch model that is also reduced into a 3 × 3 matrix but is derived from the impedances of the phase-A, -B, -C, neutral, and ground conductors together with the grounding resistances, thereby increasing the accuracy. Moreover, this paper proposes improved LF equations for unbalanced LVDS with both PQ and PV nodes. The improved LF equations are based on the polar-form power injection approach. The simulation results show the effectiveness of the modified branch model and the improved LF equations.https://www.mdpi.com/1996-1073/14/22/7600branch modeldistribution systemNewton–Raphson methodunbalanced |
| spellingShingle | Anuwat Chanhome Surachai Chaitusaney A Modification of Newton–Raphson Power Flow for Using in LV Distribution System Energies branch model distribution system Newton–Raphson method unbalanced |
| title | A Modification of Newton–Raphson Power Flow for Using in LV Distribution System |
| title_full | A Modification of Newton–Raphson Power Flow for Using in LV Distribution System |
| title_fullStr | A Modification of Newton–Raphson Power Flow for Using in LV Distribution System |
| title_full_unstemmed | A Modification of Newton–Raphson Power Flow for Using in LV Distribution System |
| title_short | A Modification of Newton–Raphson Power Flow for Using in LV Distribution System |
| title_sort | modification of newton raphson power flow for using in lv distribution system |
| topic | branch model distribution system Newton–Raphson method unbalanced |
| url | https://www.mdpi.com/1996-1073/14/22/7600 |
| work_keys_str_mv | AT anuwatchanhome amodificationofnewtonraphsonpowerflowforusinginlvdistributionsystem AT surachaichaitusaney amodificationofnewtonraphsonpowerflowforusinginlvdistributionsystem AT anuwatchanhome modificationofnewtonraphsonpowerflowforusinginlvdistributionsystem AT surachaichaitusaney modificationofnewtonraphsonpowerflowforusinginlvdistributionsystem |