Three-Phase Power Flow Based on Four-Conductor Current Injection Method for Unbalanced Distribution Networks

This work presents a new formulation for the power flow problem, with explicit representation of the neutral conductor and grounding. This methodology has been named the four-conductor current injection method (FCIM). The Newton-Raphson method is applied to solve the set of nonlinear current injecti...

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Bibliographic Details
Published in:IEEE transactions on power systems 2008-05, Vol.23 (2), p.494-503
Main Authors: Penido, D.R.R., de Araujo, L.R., Carneiro, S., Pereira, J.L.R., Garcia, P.A.N.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Balances (scales)
Complex variables
Conductors
Control systems
Current injection
Current injection method
Distributed control
distributed generation
distribution systems
four-wire systems
Grounding
induction machine modeling
Large-scale systems
Load flow
Mathematical analysis
Neutral conductors
Newton method
Newton-Raphson method
Nonlinear equations
Power flow
Representations
Robust control
three-phase power flow
unbalanced operation
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Summary:This work presents a new formulation for the power flow problem, with explicit representation of the neutral conductor and grounding. This methodology has been named the four-conductor current injection method (FCIM). The Newton-Raphson method is applied to solve the set of nonlinear current injection equations that are derived using phase coordinates, and the complex variables are written in rectangular form. The proposed algorithm can be used to analyze both balanced and unbalanced systems, meshed or radial, with controls and distributed generation, and is shown to be very efficient and robust for large scale systems.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2008.919423