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Modern power systems are at risk of largely reducing the inertia ofgeneration assets and prone to experience extreme dynamics. The consequence isthat, during electromechanical transients triggered by large contingencies,transmission of electrical power may take place in a broad spectrum well beyondthe single fundamental component. Traditional modeling approaches rely on thephasor representation derived from the Fourier Transform (FT) of the signalunder analysis. During large transients, though, FT-based analysis may fail toaccurately identify the fundamental component parameters, in terms ofamplitude, frequency and phase. In this paper, we propose an alternativeapproach relying on the Hilbert Transform (HT), that, in view of thepossibility to identify the whole spectrum, enables the tracking of signaldynamics. We compare FT- and HT-based approaches during representativeoperating conditions, i.e., amplitude modulations, frequency ramps and stepchanges, in synthetic and real-world datasets. We further validate theapproaches using a contingency analysis on the IEEE 39-bus.

Beyond Phasors: Continuous-Spectrum Modeling of Power Systems using the Hilbert Transform