<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A new, analytical approach using the cumulant method is proposed for the three-phase probabilistic power-flow (PPF) analysis. The approach to forming the...

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

Published Online: May 14, 2022

Page range: 124 - 131

Received: Mar 28, 2022

DOI: https://doi.org/10.2478/jee-2022-0016

Keywords
cumulants, distribution power network, linearization, probabilistic power flow

© 2022 Jerneja Bogovič et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: May 14, 2022

Page range: 124 - 131

Received: Mar 28, 2022

DOI: https://doi.org/10.2478/jee-2022-0016

Keywordscumulants, distribution power network, linearization, probabilistic power flow

© 2022 Jerneja Bogovič et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
cumulants, distribution power network, linearization, probabilistic power flow