Full Text:   <3513>

CLC number: TM933

On-line Access: 2011-04-11

Received: 2010-05-12

Revision Accepted: 2010-12-06

Crosschecked: 2011-02-28

Cited: 0

Clicked: 7518

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE C 2011 Vol.12 No.4 P.330-337


High-precision time domain reactive power measurement in the presence of interharmonics

Author(s):  Bei Zhang, Guo Wei, Jin-wei Sun

Affiliation(s):  Department of Electrical and Computer Engineering, Auburn University, Auburn 36830, USA, School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China

Corresponding email(s):   bzz0004@auburn.edu

Key Words:  Cosine window, Interharmonics, Reactive power, Synchronization error, Windowed discrete Hilbert transform

Bei Zhang, Guo Wei, Jin-wei Sun. High-precision time domain reactive power measurement in the presence of interharmonics[J]. Journal of Zhejiang University Science C, 2011, 12(4): 330-337.

@article{title="High-precision time domain reactive power measurement in the presence of interharmonics",
author="Bei Zhang, Guo Wei, Jin-wei Sun",
journal="Journal of Zhejiang University Science C",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T High-precision time domain reactive power measurement in the presence of interharmonics
%A Bei Zhang
%A Guo Wei
%A Jin-wei Sun
%J Journal of Zhejiang University SCIENCE C
%V 12
%N 4
%P 330-337
%@ 1869-1951
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1000145

T1 - High-precision time domain reactive power measurement in the presence of interharmonics
A1 - Bei Zhang
A1 - Guo Wei
A1 - Jin-wei Sun
J0 - Journal of Zhejiang University Science C
VL - 12
IS - 4
SP - 330
EP - 337
%@ 1869-1951
Y1 - 2011
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.C1000145

When interharmonics exist in power system signals, large errors emerge in traditional time domain reactive power measurement. In this paper, we present a novel time domain integral method with good effect of restraining interharmonics, synchronization error, and white noise, as well as the principle of the selection of the sampling periods when employing this approach. The current signal and phase-shifted voltage signal are reconstructed after the harmonic components of signals are extracted, so that the interharmonics are filtered. The influence of the synchronization error on the measurement is reduced through removing the weight coefficients of the reactive components. In the simulation, we apply several cosine windows to the proposed method and analyze signals containing both harmonics and interharmonics. The results show that, in the presence of interharmonics, synchronization error, and white noise (with a fundamental signal-to-noise ratio of 40 dB) all together, the relative errors are within the magnitude of 10−4, which perfectly satisfies the practical requirement.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Abiyev, A.N., Dimililer, K., 2008. Reactive Power Measurement in Sinusoidal and Nonsinusoidal Conditions by Use of the Walsh Functions. IEEE Instrumentation and Measurement Technology Conf., p.89-94.

[2]Abiyev, R.H., Abiyev, A.N., Dimililer, K., 2007. The Walsh Functions Based Method for Reactive Power Measurement. Proc. 33rd Annual Conf. of the IEEE Industrial Electronics Society, p.2337-2342.

[3]Agrez, D., 2002. Weighted multipoint interpolated DFT to improve amplitude estimation of multifrequency signal. IEEE Trans. Instrum. Meas., 51(2):287-292.

[4]Andria, G., Savino, M., Trotta, A., 1989. Windows and interpolation algorithms to improve electrical measurement accuracy. IEEE Trans. Instrum. Meas., 38(4):856-863.

[5]Budeanu, C.I., 1927. Reactive and Fictive Powers. National Romanian Institute, Bucarest, Romania.

[6]Driesen, J., Belmans, R., 2003. Wavelet-based power quantification approaches. IEEE Trans. Instrum. Meas., 52(4):1232-1238.

[7]Harris, F.J., 1978. On the use of windows for harmonic analysis with the discrete Fourier transform. Proc. IEEE, 66(1):51-83.

[8]Huang, C., 2005. Improved spectrum correction algorithm of estimating power electric parameters and its applications. Proc. CSEE, 25(7):86-91 (in Chinese).

[9]Huang, C., Jiang, Y.Q., 2005. Improved window and interpolation algorithm for analysis of power system harmonics. Proc. CSEE, 25(15):26-32 (in Chinese).

[10]IEC Standard 61000-2-2:2002. Environment-Compatibility Levels for Low-Frequency Conducted Disturbances and Signalling in Public Low-Voltage Power Supply Systems. International Electrotechnical Commission, Geneva.

[11]Liu, Y., 1999. A fast and accurate single frequency estimator synthetic approach. Acta Electron. Sin., 27(6):126-128 (in Chinese).

[12]Makram, E.B., Haines, R.B., 1991. Reactive Power Measurement in Presence of Distorted Waveforms. Proc. 23rd Southeastern Symp. on System Theory, p.540-544.

[13]Nuttall, A., 1981. Some windows with very good sidelobe behavior. IEEE Trans. Acoust. Speech Signal Process., 29(1):84-91.

[14]Pang, H., Li, D.X., Zu, Y.X., Wang, Z.J., 2003. An improved algorithm for harmonic analysis of power system using FFT technique. Proc. CSEE, 23(6):50-54 (in Chinese).

[15]Pang, H., Wang, Z.J., Chen, J.Y., 2007. A measuring method of the single-phase AC frequency, phase, and reactive power based on the Hilbert filtering. IEEE Trans. Instrum. Meas., 56(3):918-923.

[16]Qi, C.J., Wang, X.H., 2003. Interharmonices estimation based on interpolation FFT algorithm. Trans. China Electrotechn. Soc., 18(1):92-95 (in Chinese).

[17]Qian, H., Zhao, R.X., Chen, T., 2007. Interharmonics analysis based on interpolating windowed FFT algorithm. IEEE Trans. Power Del., 22(2):1064-1069.

[18]Saranovac, L.V., 2000. Digital realization of frequency insensitive phase shifter for reactive var-hour meters. IEEE Trans. Instrum. Meas., 49(4):802-808.

[19]Srinivasan, K., 1987. Errors in digital measurement of voltage, active and reactive powers and an on-line correction for frequency drift. IEEE Trans. Power Del., 2(1):72-76.

[20]Wei, G., Zhang, B., Sun, J.W., 2010. Time domain reactive power measurement employing fast windowed discrete Hilbert transform and interpolation algorithm. Proc. CSEE, 30(31):83-91 (in Chinese).

[21]Wei, G., Zhang, B., Sa, W.B., Sun, J.W., 2011. Realize Hilbert transform with window-added FFT and IFFT. Proc. CSU-EPSA, 23(2):1-6 (in Chinese).

[22]Yoon, W., Devaney, M.J., 2000. Reactive power measurement using the wavelet transform. IEEE Trans. Instrum. Meas., 49(2):246-252.

[23]Zhang, F.S., Geng, Z.X., Yuan, W., 2001. The algorithm of interpolating windowed FFT for harmonic analysis of electric power systems. IEEE Trans. Power Del., 16(2):160-164.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE