학술논문

A Newton-Raphson Method Based on Eigenvalue Sensitivities to Improve Harmonic Voltage Performance
Document Type
Periodical
Source
IEEE Power Engineering Review IEEE Power Eng. Rev. Power Engineering Review, IEEE. 22(12):66-66 Dec, 2002
Subject
Power, Energy and Industry Applications
Newton method
Eigenvalues and eigenfunctions
Voltage
Poles and zeros
Transfer functions
Computer networks
Network topology
Modal analysis
Capacitors
Inductors
Eigenvalue sensitivities
harmonics
Newton-Raphson
pole shifts
transfer function zeros
Language
ISSN
0272-1724
1558-1705
Abstract
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 also 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.