Assessment of Voltage Stability using Cumulant-based Probabilistic Load Flow including Wind and Photovoltaic Power Generation

  Ch Anil Kumar,  Dr K Vaisakh

This paper applies a cumulant-based probabilistic power flow (PPF) algorithm to estimate voltage stability index in the presence of uncertainty due to wind and photovoltaic power generation. These renewable energy sources have introduced additional uncertainty to power system along with uncertainty due to load demand. To show the effect of these uncertainties, probabilistic power flow methods need to be applied. Voltage stability index (L-index) detects the vulnerable system states and predicts the voltage collapse. Deterministic methods cannot represent the effect of uncertainties on voltage stability index(L-index). So the Probabilistic load flow using the method of combined Cumulants and Gram-Charlier expansion is used to obtain the Probability distribution of voltage stability index. This method is computationally efficient with high degree of accuracy. The proposed approach has been tested on modified IEEE 14 bus and IEEE 30 bus systems. Results have also been compared with those from Monte-Carlo simulation.

Keywords- Probabilistic load flow; Cumulant method; Gram-Charlier expansion; Monte-Carlo simulation; Photovoltaic generation; Wind generation; Voltage stability index.

Unique Identification Number - IJEDR1704165
Page Number(s) - 1020-1028
Pubished in - Volume 5 | Issue 4 | December 2017
DOI (Digital Object Identifier) -   
Publisher - IJEDR (ISSN - 2321-9939)

  Ch Anil Kumar,  Dr K Vaisakh,   "Assessment of Voltage Stability using Cumulant-based Probabilistic Load Flow including Wind and Photovoltaic Power Generation", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.5, Issue 4, pp.1020-1028, December 2017, Available at :http://www.ijedr.org/papers/IJEDR1704165.pdf