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Probabilistic Power Flow Analysis Based on Partial Least Square and Arbitrary Polynomial Chaos Expansion.
- Source :
- IEEE Transactions on Power Systems; Mar2022, Vol. 37 Issue 2, p1461-1470, 10p
- Publication Year :
- 2022
-
Abstract
- This paper presents a new algorithm based on the partial least square (PLS) techniques and the arbitrary polynomial chaos expansion (aPCE) for the probabilistic power flow (PPF) analysis of a power system having many uncertain variables. The proposed method uses the nonlinear PLS to transform a set of random input variables to a smaller number of de-correlated random variables. Then, the aPCE technique is applied to generate the basis polynomial functions and build a surrogate model of the power system response. The algorithm has been implemented and tested with the modified IEEE 118-bus and European 1354-bus systems. The numerical results indicate that, similar to the sparse PCE method and the low-rank approximation technique, the proposed method can be applied to high-dimensional PPF problems. Nonetheless, the proposed approach uses smaller computation time, and estimates statistical characteristics of the response with higher accuracy. [ABSTRACT FROM AUTHOR]
- Subjects :
- LEAST squares
ELECTRICAL load
RANDOM numbers
POLYNOMIAL chaos
RANDOM variables
Subjects
Details
- Language :
- English
- ISSN :
- 08858950
- Volume :
- 37
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Power Systems
- Publication Type :
- Academic Journal
- Accession number :
- 155754062
- Full Text :
- https://doi.org/10.1109/TPWRS.2021.3099110