TRANSFER FUNCTION COMPOSITION IN FREQUENCY DOMAIN WITH RECURSIVE LEAST SQUARE METHOD AND WEIGHTING FUNCTION

摘要

This paper proposes a method to compose a transfer function of an electrical system in a frequency domain from a measured result. A weighting function, which evaluates a relative error, and a recursive calculation of the least square method enable to express a complicated frequency characteristic in a wide frequency range. The obtained transfer function is expressed by a rational function with real coefficients. The order of the function is automatically determined by Bayesian information criteria. This paper adopts the transfer function for a contact-less measurement of a harmonic current flowing through a transformer.