Frequency estimation plays a crucial role in monitoring and protecting smart grids. The excellence of DFT-based frequency estimators has been well-known due to their efficiency and robustness. However, multi-component interference has become one of the biggest challenges of DFT-based estimators. To this end, we propose a novel DFT-based method for estimating multi-frequency real-valued sinusoidal signals, which consist ofPunknown components. The proposed method first constructs a nonlinear equation to describe the relationship between the parameters of all components and their frequency spectrum. The nonlinear equation is then transformed into a linear equation with 3Punknowns for estimating the frequency. The proposed method takes the side-lobe interference and spectrum leakage of all components into consideration. As a result, the impacts of multi-component interference can be completely avoided. Experiments and simulations demonstrate that the proposed method not only meets the limitations of Standard IEC/IEEE 60255-118-1, but is also highly competitive with existing frequency estimators.
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Wang et al. (2023) studied this question.
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