In this paper, point estimation approach is used to calculate the statistical moment of a random quantity that is a function of m input random variables. In this work, loads of the proposed network is considered as a random variable. Two special cases of point estimation approach are considered such as 2m and 2m+1 concentration schemes. In 2m concentration scheme, skewness is considered, but in 2m+1 concentration scheme, both skewness and kurtosis are taken into account for probability density function. The proposed model is investigated using P. M. Anderson 9-bus test system. As a result, by changing the value of a random variable that follows a predefined distribution, expected bus voltage magnitude and expected line loading are identified. For the comparison purpose, 2m and 2m+1 scheme was compared with deterministic load flow analysis.
| Published in | American Journal of Electrical Power and Energy Systems (Volume 6, Issue 5) |
| DOI | 10.11648/j.epes.20170605.11 |
| Page(s) | 64-71 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Probabilistic Power Flow, Point Estimation Method, Random Variable, Uncertainty Analysis
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APA Style
Li Bin, Muhammad Shahzad, Qi Bing, Muhammad Raza Zafar, Rabiul Islam, et al. (2017). Probabilistic Power Flow Model to Study Uncertainty in Power System Network Based Upon Point Estimation Method. American Journal of Electrical Power and Energy Systems, 6(5), 64-71. https://doi.org/10.11648/j.epes.20170605.11
ACS Style
Li Bin; Muhammad Shahzad; Qi Bing; Muhammad Raza Zafar; Rabiul Islam, et al. Probabilistic Power Flow Model to Study Uncertainty in Power System Network Based Upon Point Estimation Method. Am. J. Electr. Power Energy Syst. 2017, 6(5), 64-71. doi: 10.11648/j.epes.20170605.11
AMA Style
Li Bin, Muhammad Shahzad, Qi Bing, Muhammad Raza Zafar, Rabiul Islam, et al. Probabilistic Power Flow Model to Study Uncertainty in Power System Network Based Upon Point Estimation Method. Am J Electr Power Energy Syst. 2017;6(5):64-71. doi: 10.11648/j.epes.20170605.11
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Download@article{10.11648/j.epes.20170605.11,
author = {Li Bin and Muhammad Shahzad and Qi Bing and Muhammad Raza Zafar and Rabiul Islam and Muhammad Umair Shoukat},
title = {Probabilistic Power Flow Model to Study Uncertainty in Power System Network Based Upon Point Estimation Method},
journal = {American Journal of Electrical Power and Energy Systems},
volume = {6},
number = {5},
pages = {64-71},
doi = {10.11648/j.epes.20170605.11},
url = {https://doi.org/10.11648/j.epes.20170605.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.epes.20170605.11},
abstract = {In this paper, point estimation approach is used to calculate the statistical moment of a random quantity that is a function of m input random variables. In this work, loads of the proposed network is considered as a random variable. Two special cases of point estimation approach are considered such as 2m and 2m+1 concentration schemes. In 2m concentration scheme, skewness is considered, but in 2m+1 concentration scheme, both skewness and kurtosis are taken into account for probability density function. The proposed model is investigated using P. M. Anderson 9-bus test system. As a result, by changing the value of a random variable that follows a predefined distribution, expected bus voltage magnitude and expected line loading are identified. For the comparison purpose, 2m and 2m+1 scheme was compared with deterministic load flow analysis.},
year = {2017}
}
TY - JOUR T1 - Probabilistic Power Flow Model to Study Uncertainty in Power System Network Based Upon Point Estimation Method AU - Li Bin AU - Muhammad Shahzad AU - Qi Bing AU - Muhammad Raza Zafar AU - Rabiul Islam AU - Muhammad Umair Shoukat Y1 - 2017/08/22 PY - 2017 N1 - https://doi.org/10.11648/j.epes.20170605.11 DO - 10.11648/j.epes.20170605.11 T2 - American Journal of Electrical Power and Energy Systems JF - American Journal of Electrical Power and Energy Systems JO - American Journal of Electrical Power and Energy Systems SP - 64 EP - 71 PB - Science Publishing Group SN - 2326-9200 UR - https://doi.org/10.11648/j.epes.20170605.11 AB - In this paper, point estimation approach is used to calculate the statistical moment of a random quantity that is a function of m input random variables. In this work, loads of the proposed network is considered as a random variable. Two special cases of point estimation approach are considered such as 2m and 2m+1 concentration schemes. In 2m concentration scheme, skewness is considered, but in 2m+1 concentration scheme, both skewness and kurtosis are taken into account for probability density function. The proposed model is investigated using P. M. Anderson 9-bus test system. As a result, by changing the value of a random variable that follows a predefined distribution, expected bus voltage magnitude and expected line loading are identified. For the comparison purpose, 2m and 2m+1 scheme was compared with deterministic load flow analysis. VL - 6 IS - 5 ER -
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