Probabilistic three-phase power flow in a distribution system applying the pseudo-inverse and cumulant method

Jerneja Bogovič; Miloš Pantoš

doi:10.2478/jee-2022-0016

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Probabilistic three-phase power flow in a distribution system applying the pseudo-inverse and cumulant method

Journal of Electrical Engineering

Volume 73 (2022): Issue 2 (April 2022)

By: Jerneja Bogovič and Miloš Pantoš

Open Access

|May 2022

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/jee-2022-0016 | Journal eISSN: 1339-309X (formerly 1335-3632) | Journal ISSN: 1335-3632

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Language: English

Page range: 124 - 131

Submitted on: Mar 28, 2022

Published on: May 14, 2022

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Keywords:

cumulants,

distribution power network,

linearization,

probabilistic power flow

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2022 Jerneja Bogovič, Miloš Pantoš, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 73 (2022): Issue 2 (April 2022)