Similar articles

Abstract: The high-accuracy, wide-range frequency estimation algorithm for multi-component signals presented in this paper, is based on a numerical differentiation and central lagrange interpolation. With the sample sequences, which need at most 7 points and are sampled at a sample frequency of 25600 Hz, and computation sequences, using employed a formulation proposed in this paper, the frequencies of each component of the signal are all estimated at an accuracy of 0.001% over 1 Hz to 800 kHz with the amplitudes of each component of the signal varying from 1 V to 200 V and the phase angle of each component of the signal varying from 0° to 360°. The proposed algorithm needs at most a half cycle for the frequencies of each component of the signal under noisy or non-noisy conditions. A testing example is given to illustrate the proposed algorithm in Matlab environment.

[1] Begovic, M.M., Djuric, P.M., Dunlap, S., Phadke, A.G., 1993. Frequency tracking in power networks in the presence of harmonics. IEEE Trans. on Power Delivery, 8(2):480-486.

[2] Girgis, A.A., Ham, F.M., 1982. A new FFT-based digital frequency relay for load shedding. IEEE Trans. on Power Apparatus and Systems, 101(2):433-439.

[3] Girgis, A.A., Hwang, T.L.D., 1984. Optimal estimation of voltage phasors and frequency deviation using linear and nonlinear Kalman filter: Theory and limitations. IEEE Trans. on Power Apparatus and Systems, 103(10):2943-2949.

[4] Girgis, A.A., Peterson, W.L., 1990. Adaptive estimation of power system frequency deviation and its rate of change for calculating sudden power system overloads. IEEE Trans. on Power Delivery, 5(2):585-594.

[5] Giray, M.M., Sachdev, M.S., 1989. Off-nominal frequency measurements in electric power systems. IEEE Trans. on Power Delivery, 4(3):1573-1578.

[6] Kamwa, I., Grondin, R., 1992. Fast adaptive schemes for tracking voltage phasor and local frequency in power transmission and distribution systems. IEEE Trans. on Power Delivery, 7(2):789-795.

[7] Kuang, W.T., Morris, A.S., 2002. Using short-time Fourier transform and wavelet packet filter banks for improved frequency measurement in a doppler robot tracking system. IEEE Trans. on Instrumentation and Measurement, 51(3):440-444.

[8] Lobos, T., Rezmer, J., 1997. Real time determination of power system frequency. IEEE Trans. on Instrumentation and Measurement, 46(4):877-881.

[9] Lu, S.L., Lin, C.E., Huang, C.L., 1998. Power frequency harmonic measurement using integer periodic extension method. Electric Power Systems Research, 44(2):107-115.

[10] Moore, P.J., Johns, A.T., 1994. A new numeric technique for high-speed evaluation of power system frequency. IEE Pro.-Gener. Transm. Distrib., 141(5):529-536.

[11] Moore, P.J., Carranza, R.D., Johns, A.T., 1996. Model system tests on a new numeric method of power system frequency measurement. IEEE Trans. on Power Delivery, 11(2):696-701.

[12] Nguyen, C.T., Srinivasan, K., 1984. A new technique for rapid tracking of frequency deviations based on level crossings. IEEE Trans. on Power Apparatus and Systems, 103(8):2230-2236.

[13] Phadke, A.G., Thorp, J.S., Adamiak, M.G., 1983. A new measurement technique for tracking voltage phasors, local system frequency, and rate of change of frequency. IEEE Trans. on Power Apparatus and Systems, 102(5):1025-1038.

[14] Sachdev, M.S., Giray, M.M., 1985. A least error squares technique for determining power system frequency. IEEE Trans. on Power Apparatus and Systems, 104(2):437-443.

[15] Sachdev, M.S., Wood, H.C., Johnson, N.G., 1985. Kalman filtering applied to power system measurements for relaying. IEEE Trans. on Power Apparatus and System, 104(12):3565-3573.

[16] Szafran, J., Rebizant, W., 1998. Power system frequency estimation. IEE Pro.-Gener. Transm. Distrib., 145(5):578-582.

[17] Terzija, V.V., Djuric, M.B., Kovacevic, B.D., 1994. Voltage phasor and local system frequency estimation using Newton type algorithm. IEEE Trans. on Power Delivery, 9(3):1368-374.

[18] Yang, J.Z., Liu, C.W., 2000. A precise calculation of power system frequency and phasor. IEEE Trans. on Power Delivery, 15(2):361-366.

[19] Yang, J.Z., Liu, C.W., 2001. A precise calculation of power system frequency. IEEE Trans. on Power Delivery, 16(3):361-366.