A modified Newton method for radial distribution system power flow analysis

A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jac...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 12; no. 1; pp. 389 - 397
Main Authors Fan Zhang, Cheng, C.S.
Format Journal Article
LanguageEnglish
Published IEEE 01.02.1997
Subjects
Distributed power generation
Impedance
Jacobian matrices
Load flow
Load flow analysis
Newton method
Robustness
State estimation
Topology
Voltage
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Summary:A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jacobian matrix, LU factorization and forward/back substitution are replaced by back/forward sweeps on radial feeders with equivalent impedances. Tests on several large distribution systems ranged from 490 to 1651 in nodes, 0.15 to 5.48 in r/x ratio and 0.0004 /spl Omega/ to 3.07 /spl Omega/ in line impedance have shown that the proposed method is as robust and efficient as the back/forward sweep method. The proposed method can be applied to other applications, such as state estimation. The proposed method can also be extended to the solution of systems with loops, dispersed generators and three phase (unbalanced) representation.
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ISSN:0885-8950
1558-0679
DOI:10.1109/59.575728