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A Newton-Raphson Method Based on Eigenvalue Sensitivities to Improve Harmonic Voltage Performance

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3 Author(s)
Varricchio, S. L. ; CEPEL; Universidade Federal Fluminense ; Martins, N. ; Lima, L. T. G.

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.

Published in:

Power Engineering Review, IEEE  (Volume:22 ,  Issue: 12 )