Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration
This paper aims at presenting a novel effective approach to probabilistic analysis of distribution power grid with high penetration of PV sources. The novel method adopts a Gaussian Mixture Model for reproducing the uncertainty of correlated PV sources along with a piece-wise-linear approximation of...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute
2022
|
| Online Access: | https://hdl.handle.net/1721.1/143638 |
| _version_ | 1826206085689638912 |
|---|---|
| author | Gruosso, Giambattista Daniel, Luca Maffezzoni, Paolo |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Gruosso, Giambattista Daniel, Luca Maffezzoni, Paolo |
| author_sort | Gruosso, Giambattista |
| collection | MIT |
| description | This paper aims at presenting a novel effective approach to probabilistic analysis of distribution power grid with high penetration of PV sources. The novel method adopts a Gaussian Mixture Model for reproducing the uncertainty of correlated PV sources along with a piece-wise-linear approximation of the voltage-power relationship established by load flow problem. The method allows the handling of scenarios with a large number of uncertain PV sources in an efficient yet accurate way. A distinctive feature of the proposed probabilistic analysis is that of directly providing, in closed-form, the joint probability distribution of the set of observable variables of interest. From such a comprehensive statistical representation, remarkable information about grid uncertainty can be deduced. This includes the probability of violating the safe operation conditions as a function of PV penetration. |
| first_indexed | 2024-09-23T13:23:52Z |
| format | Article |
| id | mit-1721.1/143638 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:23:52Z |
| publishDate | 2022 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | mit-1721.1/1436382023-06-22T14:49:20Z Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration Gruosso, Giambattista Daniel, Luca Maffezzoni, Paolo Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science This paper aims at presenting a novel effective approach to probabilistic analysis of distribution power grid with high penetration of PV sources. The novel method adopts a Gaussian Mixture Model for reproducing the uncertainty of correlated PV sources along with a piece-wise-linear approximation of the voltage-power relationship established by load flow problem. The method allows the handling of scenarios with a large number of uncertain PV sources in an efficient yet accurate way. A distinctive feature of the proposed probabilistic analysis is that of directly providing, in closed-form, the joint probability distribution of the set of observable variables of interest. From such a comprehensive statistical representation, remarkable information about grid uncertainty can be deduced. This includes the probability of violating the safe operation conditions as a function of PV penetration. 2022-07-11T14:39:30Z 2022-07-11T14:39:30Z 2022-06-28 2022-07-08T11:55:00Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143638 Energies 15 (13): 4752 (2022) PUBLISHER_CC http://dx.doi.org/10.3390/en15134752 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ application/pdf Multidisciplinary Digital Publishing Institute Multidisciplinary Digital Publishing Institute |
| spellingShingle | Gruosso, Giambattista Daniel, Luca Maffezzoni, Paolo Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title | Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title_full | Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title_fullStr | Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title_full_unstemmed | Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title_short | Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration |
| title_sort | piece wise linear pwl probabilistic analysis of power grid with high penetration pv integration |
| url | https://hdl.handle.net/1721.1/143638 |
| work_keys_str_mv | AT gruossogiambattista piecewiselinearpwlprobabilisticanalysisofpowergridwithhighpenetrationpvintegration AT danielluca piecewiselinearpwlprobabilisticanalysisofpowergridwithhighpenetrationpvintegration AT maffezzonipaolo piecewiselinearpwlprobabilisticanalysisofpowergridwithhighpenetrationpvintegration |