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Dynamic Phasor and Frequency Estimates Through Maximally Flat Differentiators
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DOI：10.1109/TIM.2009.2030921.png)
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Abstract
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Estimates of the dynamic phasor and its derivatives are obtained through the weighted least squares solution of a Taylor approximation using classical windows as weighting factors. This solution leads to differentiators with ideal frequency response around the fundamental frequency and to very low sidelobe level over the stopband, which implies low noise sensitivity. The differentiators are maximally flat in the interval centered at the fundamental frequency and have a linear phase response. Therefore, their estimates are free of amplitude and phase distortion and are obtained at once. No further patch is needed to improve their accuracy. Examples of dynamic phasor estimates are illustrated under transient conditions. Special emphasis is put on frequency measurements.
Keywords:
Digital differentiators
dynamic phasor
frequency estimation
maximally flat filters
maximally linear differentiators
phasor estimation
windows
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