Three-phase power flow calculations using the current injection method

Author

Garcia, Paulo A N ; Pereira, Jose Luiz R ; Carneiro, Sandoval, Jr. ; Da Costa, Vander M. ; Martins, Nelson

Author_Institution

Fac. de Engenharia, Univ. Fed. do Rio de Janeiro, Brazil

Volume

15

Issue

2

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

508

Lastpage

514

Abstract

This paper presents a new sparse formulation for the solution of unbalanced three-phase power systems using the Newton-Raphson method. The three-phase current injection equations are written in rectangular coordinates resulting in an order 6n system of equations. The Jacobian matrix is composed of 6×6 block matrices and retains the same structure as the nodal admittance matrix. Practical distribution systems were used to test the method and to compare its robustness with that of the backward/forward sweep method

Keywords

Jacobian matrices; Newton-Raphson method; distribution networks; load flow; 6×6 block matrices; Jacobian matrix; Newton-Raphson method; backward/forward sweep method; current injection method; distribution systems; nodal admittance matrix structure; rectangular coordinates; three-phase power flow calculations; unbalanced three-phase power systems; Admittance; Equations; Jacobian matrices; Large-scale systems; Load flow; Load modeling; Power systems; Sparse matrices; System testing; Voltage;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.867133

Filename

867133