Probabilistic three-phase power flow in a distribution system applying the pseudo-inverse and cumulant method
A new, analytical approach using the cumulant method is proposed for the three-phase probabilistic power-flow (PPF) analysis. The approach to forming the sensitivity matrix is based on quantifying the pseudo-inverse instead of the inverse jacobian matrix, since it is commonly singular in a distribut...
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| Veröffentlicht in: | Journal of Electrical Engineering 2022-04, Vol.73 (2), p.124-131 |
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| container_title | Journal of Electrical Engineering |
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| creator | Bogovič, Jerneja Pantoš, Miloš |
| description | A new, analytical approach using the cumulant method is proposed for the three-phase probabilistic power-flow (PPF) analysis. The approach to forming the sensitivity matrix is based on quantifying the pseudo-inverse instead of the inverse jacobian matrix, since it is commonly singular in a distribution power network. The results are compared with those obtained using the point-estimate method (PEM) and the Monte Carlo (MC) method, which is a commonly used reference method for the PPF analysis in a distribution power network. |
| doi_str_mv | 10.2478/jee-2022-0016 |
| format | Article |
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| ispartof | Journal of Electrical Engineering, 2022-04, Vol.73 (2), p.124-131 |
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| source | Walter De Gruyter: Open Access Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Accuracy Algorithms cumulants distribution power network Electric power distribution Electrical engineering Jacobi matrix method Jacobian matrix linearization Methods Power flow probabilistic power flow Random variables |
| title | Probabilistic three-phase power flow in a distribution system applying the pseudo-inverse and cumulant method |
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