A Method for Harmonic Measurement of Real Power Grid Signals with Frequency Drift using Instruments with Internally Generated Reference Frequency

Antić, B.M.; Mitrović, Z.L.; Vujičić, V.V.

doi:10.2478/v10048-012-0038-1

Abstract

The authors have recently developed a number of instruments for measuring harmonic composition of power grid signals. These instruments have a simple, predominantly digital architecture and they are based on an assumption that the frequency of the measured signals equals its nominal value (50 Hz, 60 Hz or 400 Hz). This approach has enabled the measurement of a high number of harmonics within a single period. However, the internal oscillator in the instrument generates the nominal frequency and cannot adapt to frequency changes in the input signal. This paper presents a method for the improvement of the operation of the developed instruments in cases when the fundamental frequency drifts from its nominal value as is the case with real power grid signals. Based on this method, modified versions of the harmonic measurement instruments have been developed. A comparison of the measurement error with and without the application of the proposed method is presented in the paper.

References

[1] Stones, J., Collinson, A. (2001). Power quality. Power Engineering Journal, 15 (2), 58-64.10.1049/pe:20010201
Search in Google Scholar
[2] Ghandehari, R., Jalilian, A. (2004). Economical impacts of power quality in power systems. In 39th International Universities Power Engineering Conference (UPEC 2004), 6-8 September 2004. IEEE, Vol. 2, 893-897.
Search in Google Scholar
[3] Thapar, A., Saha, T.K., Zhao, Y.D. (2004). Investigation of power quality categorisation and simulating its impact on sensitive electronic equipment. In IEEE Power Engineering SocietyGeneral Meeting, 6-10 June 2004. IEEE, Vol. 1, 528-533.
Search in Google Scholar
[4] Sermon, R.C. (2005). An overview of power quality standards and guidelines from the end-user's point-of view. In Rural Electric Power Conference, 8-10 May 2005. IEEE, B1/1-B1/5.10.1109/REPCON.2005.1436304
Search in Google Scholar
[5] Broshi, A. (2007). Monitoring power quality beyond EN 50160 and IEC 61000-4-30. In 9th International Conference on Electrical Power Quality and Utilisation (EPQU 2007), 9-11 October 2007. IEEE, 1-6.
Search in Google Scholar
[6] Kuhlmann, V., Sinton, A., Dewe, M., Arnold, C. (2007). Effects of sampling rate and ADC width on the accuracy of amplitude and phase measurements in power-quality monitoring. IEEE Transactions on Power Delivery, 22 (2), 758-764.10.1109/TPWRD.2007.893389
Search in Google Scholar
[7] European Committee for Standardization. (1999). Voltage Characteristics of Electricity Supplied by Public Distribution Systems. European Standard EN 50160.
Search in Google Scholar
[8] Mandache, L., Al-Haddad, K. (2005). New high precision harmonic analysis method for power quality assessment. In Canadian Conference on Electrical and Computer Engineering (CCECE 2005), 1-4 May 2005. IEEE, 1958-1961.10.1109/CCECE.2005.1557366
Search in Google Scholar
[9] Szmajda, M., Gorecki, K., Mroczka, J. (2007). DFT algorithm analysis in low-cost power quality measurement systems based on a DSP processor. In 9th International Conference on Electrical Power Quality and Utilisation (EPQU 2007), 9-11 October 2007. IEEE, 1-6.10.1109/EPQU.2007.4424081
Search in Google Scholar
[10] Moo, C.S., Chang, Y.N., Mok, P.P. (1995). A digital measurement scheme for time-varying transient harmonics. IEEE Transactions on Power Delivery, 10 (2), 588-594.10.1109/61.400874
Search in Google Scholar
[11] Karimi-Ghartemani, M., Iravani, M.R. (2005). Measurement of harmonics/inter-harmonics of timevarying frequencies. IEEE Transactions on PowerDelivery, 20 (1), 23-31.
Search in Google Scholar
[12] Yoon, W.K., Devaney, M.J. (2000). Reactive power measurement using the wavelet transform. IEEE Transactions on Instrumentation and Measurement, 49 (2), 246-252.10.1109/19.843057
Search in Google Scholar
[13] Espel, P., Poletaeff, A., Ndilimabaka, H. (2010). Traceability of voltage measurements for nonsinusoidal waveforms. Measurement Science Review, 10 (6), 200-204.
Search in Google Scholar
[14] Vujicic, V.V., Milovancev, S.S., Pesaljevic, M.D., Pejic, D.V., Zupunski, I.Z. (1999). Low-frequency stochastic true RMS instrument. IEEE Transactions onInstrumentation and Measurement, 48 (2), 467-470.10.1109/19.769630
Search in Google Scholar
[15] Vujicic, V.V. (2001). Generalized low frequency stochastic true RMS instrument. IEEE Transactions on Instrumentation and Measurement, 50, 1089-1092.10.1109/19.963164
Search in Google Scholar
[16] Pjevalica, V., Vujicic, V. (2005). Further generalization of the low-frequency true-RMS instrument. In Proceedings of the IEEE Instrumentation and Measurement Technology Conference, May 2005. IEEE, 1008-1011.10.1109/IMTC.2005.1604291
Search in Google Scholar
[17] Weierstrass, K. (1885). Über die analytische Darstellbarkeit sogenannter willkürlicher Functionen einer reellen Veränderlichen. In Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaftenzu Berlin.
Search in Google Scholar
[18] Stone, M.H. (1948). The generalized Weierstrass approximation theorem. Mathematics Magazine, 21 (4), 167-184; 21 (5), 237-254.
Search in Google Scholar
[19] Kamenský, M., Kováč, K. (2011). Correction of ADC errors by additive iterative method with dithering. Measurement Science Review, 11 (1), 15-18.10.2478/v10048-011-0004-3
Search in Google Scholar
[20] Hegeduš, H., Mostarac, P., Malarić, R. (2011). Comparison of RMS value measurement algorithms of non-coherent sampled signals. Measurement Science Review, 11 (3), 79-84.10.2478/v10048-011-0019-9
Search in Google Scholar
[21] Antic, B., Pjevalica, N. (2006). A new approach to power grid measurements - measuring in frequency domain. In Second Regional Conference andExhibition on Electricity Distribution, October 17-20 2006. Book of Abstracts, 37-38.
Search in Google Scholar
[22] Agrež, D. (2010). Estimation and tracking of the power quality disturbances in the frequency domain. Measurement Science Review, 10 (6), 189-194.10.2478/v10048-010-0032-4
Search in Google Scholar
[23] Acton, F.S. (1990). Numerical Methods that Work (2nd ed.). Washington, DC: Mathematical Association of America, 161-163.
Search in Google Scholar
[24] Intel Corporation. (2012). Support for processors. http://www.intel.com/p/en_US/support/processors
Search in Google Scholar
[25] Advanced Micro Devices, Inc. (2012). Products and technologies. http://www.amd.com/us/products/Pages/products.aspx
Search in Google Scholar
[26] Altera Corporation. (2011). Altera floating point megafunctions. http://www.altera.com/literature/ug/ ug_altfp_mfug.pdf[27] Advanced Micro Devices, Inc. (2012). AMD opteronprocessors comparison. http://sites.amd.com/us/Documents/49747D_HPC_Processor_Comparison_v3_July2012.pdf
Search in Google Scholar
[28] Texas Instruments. (2012). Embedded processors. http://www.ti.com/lsds/ti/dsp/embedded_processor.page
Search in Google Scholar
[29] Hindriksen, V. (2012). Processors that can do 20+GFLOPS per Watt. http://www.streamcomputing.eu/blog/2012-08-27/processors-that-can-do-20-gflopswatt/
Search in Google Scholar
[30] Kundur, P., Paserba, J., Ajjarapu, V., et al. (2004). Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions. IEEE Transactions on Power Systems, 19 (2), 1387-1401.
Search in Google Scholar
[31] Horne, J., Flynn, D., Littler, T. (2004). Frequency stability issues for islanded power systems. In IEEEPES Power Systems Conference and Exposition, 10-13 October 2004. IEEE, Vol. 1, 299-306.
Search in Google Scholar
[32] Cai, Z.X., Ni, Y.X. (2000). A direct method for frequency stability assessment of power systems. In International Conference on Advances in PowerSystem Control, Operation and Management(APSCOM-00), 30 October - 1 November 2000. IEEE, Vol. 1, 285-289.
Search in Google Scholar
[33] Antic, B.M., Vujicic, V.V. (2007). An improved version of the stochastic harmonic instrument. In Proceedings of the Metrology Congress 2007, 26-28 September 2007.
Search in Google Scholar
[34] Tomic, J. (2004). Integrated Instrument for HarmonicsMeasurement. Unpublished M.Sc. thesis, University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia.
Search in Google Scholar

A Method for Harmonic Measurement of Real Power Grid Signals with Frequency Drift using Instruments with Internally Generated Reference Frequency

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