Early detection of parametric roll by application of the incremental real-time Hilbert–Huang Transform

Abstract

This work focuses on the early detection and advance warning of parametric roll in regular and irregular head seas. The time–frequency dependent analysis technique, Hilbert–Huang Transform (HHT) is applied to acquire the so-called “instantaneous frequency”, which can be used for the detection of the non-linear parametric roll motion. Firstly, an incremental real-time HHT (IR-HHT) technique is implemented to an artificial time series which is simply composed from the parametric roll and pitch motion time series with its main characteristics: frequency shift and amplitude growth. This is followed by the proposal of a detection scheme aimed at the identification of the frequency shift and amplitude growth between roll and pitch motion. The proposed detection scheme is validated by analyzing parametric roll time series obtained from numerical simulation in regular and irregular head seas. Results show that the onset of parametric roll can be detected successfully through the detection scheme based on IR-HHT technique. Moreover the robustness of the detection scheme is validated.