A modified Newton method for radial distribution system power flow analysis

Author

Zhang, Fan ; Chen, Carol S.

Author_Institution

ABB Automated Distribution Div., Cary, NC, USA

Volume

12

Issue

1

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

389

Lastpage

397

Abstract

A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU^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 Ω to 3.07 Ω 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

Keywords

Jacobian matrices; Newton method; distribution networks; load flow; power system analysis computing; power system state estimation; Jacobian matrix; LU factorization; back/forward sweeps; block diagonal matrix; constant upper triangular matrix; dispersed generators; equivalent impedances; forward/back substitution; loops; modified Newton method; power flow analysis; power system topology; radial distribution system; state estimation; Distributed power generation; Impedance; Jacobian matrices; Load flow; Load flow analysis; Newton method; Robustness; State estimation; Topology; Voltage;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.575728

Filename

575728