Correct Initialization of Extended Harmonic Domain -Based Models for Accurate Representation of Frequency Dynamics

Major concerns in the analysis and modeling of frequency spectrum via the extended harmonic domain (EHD) is the transient error within its pre-selected set of harmonics and interharmonics, caused by the transient solution (homogeneous response) during step changes or at initialization. This homogenous response is characterized for having the natural frequencies, which usually are not addressed nor taken into account within the pre-selected set of frequencies of the EHD-based model. This paper addresses this issue by proposing a dynamic flexible EHD (DFEHD)-based methodology that achieves zero spurious error.