Tensor Power Flow Formulations for Multidimensional Analyses in Distribution Systems
CoRR(2024)
摘要
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 in distribution systems. The presented algorithms are
the base for a new TensorPowerFlow (TPF) tool and shine for their simplicity,
benefiting from multicore cpu and gpu parallelization. We also
focus on the mathematical convergence properties of the algorithm, showing that
its unique solution is at the practical operational point, which is the
solution of high-voltage and low-current. The proof is validated using
numerical simulations showing the robustness of the FPI algorithm compared to
the classical 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.
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