Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network

Baljinnyam Sereeter, Werner van Westering, Cornelis Vuik and Cees Witteveen
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Baljinnyam Sereeter: Delft Institute of Applied Mathematics, Delft University of Technology, 2628XE Delft, The Netherlands
Werner van Westering: Delft Center of Systems & Control, Delft University of Technology, The Netherlands and Alliander N.V. DNO, 2628CD Delft, The Netherlands
Cornelis Vuik: Delft Institute of Applied Mathematics, Delft University of Technology, 2628XE Delft, The Netherlands
Cees Witteveen: Department of Software Technology, Delft University of Technology, 2628XE Delft, The Netherlands

Energies, 2019, vol. 12, issue 21, 1-15

Abstract: In this paper, we propose a fast linear power flow method using a constant impedance load model to simulate both the entire Low Voltage (LV) and Medium Voltage (MV) networks in a single simulation. Accuracy and efficiency of this linear approach are validated by comparing it with the Newton power flow algorithm and a commercial network design tool Vision on various distribution networks including real network data. Results show that our method can be as accurate as classical Nonlinear Power Flow (NPF) methods using a constant power load model and additionally, it is much faster than NPF computations. In our research, it is shown that voltage problems can be identified more efficiently when MV and LV are integrally evaluated. Moreover, Numerical Analysis (NA) techniques are applied to the Large Linear Power Flow (LLPF) problem with 27 million nonzeros in order to improve the computation time by studying the properties of the linear system. Finally, the original computation times of LLPF problems with real and complex components are reduced by 2.8 times and 5.7 times, respectively.

Keywords: Nonlinear power flow problem; linear power flow problem; constant impedance model; distribution networks; Krylov subspace methods; preconditioning; numerical analysis (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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