Piece-Wise Linear (PWL) Probabilistic Analysis of Power Grid with High Penetration PV Integration
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energies-15-04752-v2.pdf
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1.37 MB
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Checksum (MD5)
f4205e5ff785f45d82fff6f9ed22692d
Author(s)
Gruosso, Giambattista
Daniel, Luca
Maffezzoni, Paolo
Date Issued
June 28, 2022
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Energies 15 (13): 4752 (2022)
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.3390/en15134752
