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Tensor power flow formulations for multidimensional analyses in distribution systems

Authors :
Edgar Mauricio Salazar Duque
Juan S. Giraldo
Pedro P. Vergara
Phuong H. Nguyen
Han (J.G.) Slootweg
Source :
International Journal of Electrical Power & Energy Systems, Vol 162, Iss , Pp 110275- (2024)
Publication Year :
2024
Publisher :
Elsevier, 2024.

Abstract

In this paper, we present two multidimensional power flow formulations based on a fixed-point iteration (FPI) algorithm to efficiently solve hundreds of thousands of Power flows (PFs) in distribution systems. The presented algorithms are the base for a new TensorPowerFlow (TPF) tool and shine for their simplicity, benefiting from multicore Central processing unit (CPU) and Graphics processing unit (GPU) parallelization. We also focus on the mathematical convergence properties of the algorithm, showing that its unique solution is at the practical operational point. The proof is validated using numerical simulations showing the robustness of the FPI algorithm compared to the classical Newton–Raphson (NR) approach. In the case study, a benchmark with different PF solution methods is performed, showing that for applications requiring a yearly simulation at 1-minute resolution, the computation time is decreased by a factor of 164, compared to the NR in its sparse formulation. Finally, a set of applications is described, highlighting the potential of the proposed formulations over a wide range of analyses in distribution systems.

Details

Language :
English
ISSN :
01420615
Volume :
162
Issue :
110275-
Database :
Directory of Open Access Journals
Journal :
International Journal of Electrical Power & Energy Systems
Publication Type :
Academic Journal
Accession number :
edsdoj.314580dc2c3749859b1bd1e0a75c70f9
Document Type :
article
Full Text :
https://doi.org/10.1016/j.ijepes.2024.110275