Structural properties of the SOGI system for parameters estimation of a biased sinusoid

Abstract

In this paper, a real-time method, based on the Second Order Generalized Integrator (SOGI), is presented to estimate amplitude, frequency, phase and offset of a biased sinusoidal signal. The estimation is performed by simple straightforward explicit formulas involving the unknown signal and output signals measurements of the SOGI system. Numerical experiments are shown that confirm the strength of the method in a wide range of signal conditions, such as step and sweep changes in frequency.