s-Domain approach to reduce harmonic voltage distortions using sensitivity analysis

This paper describes a Newton-Raphson method that shifts a set of electrical network poles and transfer function zeros to specify positions in the complex plane. These shifts aim at the improvement of the system harmonic voltage performance. The method is based on the calculations of poles, zeros and their sensitivities to changes in system parameters. These calculations are carried out in the s-domain using the nodal admittance matrix Y(s) and its derivative with respect to the complex frequency s. A comparison is made between the proposed method and a recent one based on descriptor system approach. As is shown in the paper, the proposed method combines the advantages of the conventional admittance matrix method and modal analysis.

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