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频率估计资料 Estimation of Power Quantities in Frequency Domain

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Abstract—This paper presents algorithms for fast measure-

ment and the nonparametric estimation of the unknown changing

frequency, amplitude, and phase difference of the signals from

two channels with the same frequency, as well as other power

quantities, such as the apparent, the active, and the reactive

power. The possibilities for systematic error reduction through

use of the interpolated discrete Fourier transform using the Rife-

Vincent windows class I (RV-I) are described. RV-I windows are

designed for maximization of the window spectrum side-lobes

fall-off and owing to their minimal leakage, minimal systematic

bias curves can be evaluated as a function of the measurement

interval duration expressed in signal cycles. Parameters are calcu-

lated from the discrete Fourier transform coefficients around the

component peaks by summation to reduce the leakage effects. The

optimum for reducing the time of measurement and for reducing

systematic errors under non-coherent conditions of sampling real

noisy signals could be the estimation with the three cycles window

using the three-point interpolation and the RV-I window order 3.


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