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Rapid method for impact analysis of grid-edge technologies on power distribution networks

Feng Li, Ilhan Kocar and Antoine Lesage-Landry

Technical Report (2022)

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This paper presents a novel rapid estimation method (REM) to perform stochastic impact analysis of grid-edge technologies (GETs) to the power distribution networks. The evolution of network states' probability density functions (PDFs) in terms of GET penetration levels are characterized by the Fokker-Planck equation (FPE). The FPE is numerically solved to compute the PDFs of network states, and a calibration process is also proposed such that the accuracy of the REM is maintained for large-scale distribution networks. The approach is illustrated on a large-scale realistic distribution network using a modified version of the IEEE 8500 feeder, where electric vehicles (EVs) or photovoltaic systems (PVs) are installed at various penetration rates. It is demonstrated from quantitative analyses that the results from our proposed approach have negligible errors comparing with those obtained from Monte Carlo simulations.

Uncontrolled Keywords

grid-edge; electric vehicles; power distribution networks; stochastic analysis; Fokker-Planck equation; probability density function; Monte Carlo

Department: Department of Electrical Engineering
Research Center: GERAD - Research Group in Decision Analysis
PolyPublie URL: https://publications.polymtl.ca/51850/
Report number: 2022-45
Official URL: https://www.gerad.ca/en/papers/G-2022-45
Date Deposited: 18 Apr 2023 14:58
Last Modified: 05 Apr 2024 11:56
Cite in APA 7: Li, F., Kocar, I., & Lesage-Landry, A. (2022). Rapid method for impact analysis of grid-edge technologies on power distribution networks. (Technical Report n° 2022-45). https://www.gerad.ca/en/papers/G-2022-45


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