Filter design using a Newton-Raphson method based on eigenvalue sensitivity

A Newton-Raphson method was proposed previously to accurately shift the electrical network poles and zeros to more suitable locations in the complex plane to improve the harmonic voltage performance of a system. The poles and/or zeros shifts were carried out by appropriate changes in the capacitor and/or reactor banks. Based on this concept, this paper presents a Newton-Raphson method to accomplish the required shifts by changes in harmonic filter parameters. In this way, a single tuning filter, designed by this method, is shown to solve the harmonic problem of the bus where it is connected as well as another harmonic problem at a different system bus. Achieving these two objectives with just one single tuning filter may be economically attractive