Analytical Expressions for Joint Distributions in Probabilistic Load Flow

Analytical Expressions for Joint Distributions in Probabilistic Load Flow

Adopting the Gaussian mixture model, we derive an analytical expression for the joint probability density function of active power on multiple transmission lines, in the presence of non-Gaussian stochastic power injections. The corresponding joint cumulative distribution function is further obtained...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on power systems 2017-05, Vol.32 (3), p.2473-2474
Hauptverfasser: Wang, Zhiwen, Shen, Chen, Liu, Feng, Gao, Feng
Format: Artikel
Sprache:eng
Schlagworte:
Gaussian distribution
Gaussian mixture model
joint probability distribution
Load flow
Mathematical model
Power transmission lines
probabilistic load flow
Probabilistic logic
Uncertainty
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Adopting the Gaussian mixture model, we derive an analytical expression for the joint probability density function of active power on multiple transmission lines, in the presence of non-Gaussian stochastic power injections. The corresponding joint cumulative distribution function is further obtained by multiple integrals. Results of the proposed method coincide with that of Monte Carlo simulations.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2016.2612881