A Newton-Raphson method based on eigenvalue sensitivities to improve harmonic voltage performance

This paper describes a Newton-Raphson method that accurately shifts a set of electrical network poles and transfer function zeros to more suitable locations in the complex plane to improve the harmonic voltage performance of a system. The descriptor system approach is used for the computer modeling...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2003-01, Vol.18 (1), p.334-342
Main Authors: Varricchio, S.L., Martins, N., Lima, L.T.G.
Format: Article
Language:English
Subjects:
Capacitors
Computer networks
Eigenvalues
Eigenvalues and eigenfunctions
Electric networks
Electric potential
Harmonics
Inductors
Mathematical models
Modal analysis
Network topology
Newton method
Newton-Raphson method
Poles
Poles and zeros
Transfer functions
Voltage
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Summary:This paper describes a Newton-Raphson method that accurately shifts a set of electrical network poles and transfer function zeros to more suitable locations in the complex plane to improve the harmonic voltage performance of a system. The descriptor system approach is used for the computer modeling of electrical networks of any topology and their subsequent modal analysis. The pole and/or zero shifts are carried out by appropriate changes in the system elements (e.g., capacitor and/or reactor banks). Eigenvalue sensitivity coefficients are used to help determine those element changes that are the most cost-effective and to compute the Jacobian elements for the Newton method. These changes may be carried out without impacting the system operating point. Results are presented for a realistic system model in order to show the potential applications of the method.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2002.806682