| The Prony analysis has been considered as a standard method for estimating oscillation modes in a power grid. Extensive studies have been done to find its optimal performance conditions, but the comparisons between the Prony analysis and other modal analysis approaches are insufficient.;This thesis reviewed two modal analysis methods, i.e., the Eigensystem Realization Algorithm (ERA) and the Prony analysis.Their performances are compared using a simple model and a 16-machine model respectively. The influence of the parameters, such as the model order, the decimation factor, and signal-noise-ratio (SNR), on the modes' estimation accuracy is evaluated. Because of the randomness of noise, the Monte Carlo (MC) method is used as the statistical approach for evaluating estimation accuracy and the median absolute deviation (MAD) is used as the metric for comparing the estimation errors. The performances of two different methods are compared under the same conditions. Extensive simulation studies show that the ERA is more accurate and applicable than the Prony analysis in the real-time application. |
