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Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

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posted on 29.05.2021, 11:24 by Ignacio Losada Carreño, Shammya Saha, Anna Scaglione, Daniel Arnold, Ngo Sy-Toan, Ciaran Roberts
In this work, we introduce Log(v) 3LPF, a linear power flow solver for unbalanced three-phase distribution systems. Log(v) 3LPF uses a logarithmic transform of the voltage phasor to linearize the AC power flow equations around the balanced case. We incorporate the modeling of ZIP loads, transformers, capacitor banks, switches and their corresponding controls and express the network equations in matrix-vector form. With scalability in mind, special attention is given to the computation of the inverse of the system admittance matrix, Ybus. We use the Sherman-Morrison-Woodbury identity for an efficient computation of the inverse of a rank-k corrected matrix and compare the performance of this method with traditional LU decomposition methods in terms of FLOPS. We showcase the solver for a variety of network sizes, ranging from tens to thousands of nodes, and compare the Log(v) 3LPF with commercial-grade software, such as OpenDSS.

History

Email Address of Submitting Author

shammya.saha@asu.edu

ORCID of Submitting Author

0000-0002-4861-6993

Submitting Author's Institution

Arizona State University

Submitting Author's Country

United States of America