STUDYING HARMONIC PROBLEMS USING A DESCRIPTOR SYSTEM APPROACH

Abstract

Abstract – The harmonic voltage performance of a system depends on the location of its poles and zeros mainly with respect to the critical harmonic frequencies. Therefore the knowledge of the poles, zeros and their respective sensitivities to system parameters enables the identification of changes in the system which will reduce harmonic voltage levels. The method presented in [1], [2], based on state space formulation, allows this type of knowledge. Unfortunately, the construction of the state matrix for practical systems is not a simple task. Furthermore, the method in [1], [2] presents some limitations regarding network topology. This paper presents a method based on the descriptor system approach [3] which overcomes the computational difficulties associated with the state matrix method. The method properly deals with state variable redundancies and can be efficiently applied to large-scale networks of any topology