A unified three-phase transformer model for distribution load flow calculations

This paper provides a unified method to model three-phase transformers for distribution system load flow calculations, especially when the matrix singularity caused by the transformer configuration arises. This paper shows that the singularity appears only in certain transformer admittance submatric...

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Bibliographic Details
Published in:IEEE transactions on power systems 2006-02, Vol.21 (1), p.153-159
Main Authors: Peng Xiao, Yu, D.C., Wei Yan
Format: Article
Language:English
Subjects:
Admittance
Admittance matrix
Algorithm design and analysis
Convergence
Core loss
Electrical impedance
Equations
Load flow
load flow analysis
Load modeling
Mathematical analysis
Mathematical models
Phase transformers
power distribution
Power system reliability
Power transformers
Singularities
Stress concentration
Transformers
Voltage
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Summary:This paper provides a unified method to model three-phase transformers for distribution system load flow calculations, especially when the matrix singularity caused by the transformer configuration arises. This paper shows that the singularity appears only in certain transformer admittance submatrices and only in certain transformer configurations. The unified method presented in this paper can solve the voltage/current equations in the forward/backward sweep algorithm for various types of transformer configurations, whether or not the corresponding admittance submatrices are singular. Comprehensive comparisons have been made between the proposed approach and other methods. Test results demonstrate the validity and effectiveness of the proposed method.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2005.857847