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[2, 2006] 

Journal of Electrical Engineering, Vol 57, 2 (2006) 111-115

WIDE RANGE PARAMETER MEASUREMENT OF SINUSOIDAL SIGNALS

Wu Jiekang

   A high-accuracy, wide-range parameter measurement method basing on a numerical differentiation and central Lagrange interpolation is proposed in this paper. The 2nd order differentiation is used in frequency estimation, and the 3rd and 4th order differentiation is employed in amplitude and phase measurement. The proposed algorithm needs at most half a cycle for parameter measurement, which is much less than other algorithms due to the application of numerical differentiation. With unknown parameters, the frequency is measured with an error of 0.001 % over 2 Hz to 3500 Hz, and amplitude is estimated with 0.01 % over 3 V to 160 V and at 2 % over 160 V to 220 V. The phase is measured with an error error of 0.001 % over 10 to 360, and at most 3 % when the frequency is less than 5 Hz and the amplitude is less than 3 V. A study example is given to illustrate its parameter measurement, and Matlab software is applied to validate the proposed algorithm.

Keywords: parameter measurement, sinusoidal signal, numerical differentiation, Lagrange interpolation


[full-paper]


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