Abstract
In this paper an efficient two-stage Newton type algorithm for power components estimation is presented. In the first algorithm stage the spectra and fundamental frequency of input currents and voltages are estimated. In the second stage the power components are calculated based on the results obtained in the first stage. By this, power components definitions according to the IEEE Standard 1459-2000 are used. In the algorithm the signal frequency was considered as an unknown parameter simultaneously estimated with signal spectrum. By this, the algorithm becomes insensitive to frequency changes. On the other hand, the signal model became non-linear, so the strategies of non-linear estimation were used. The algorithm performances are tested using computer simulated and laboratory tests.
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References
Gergis A et al (1990) Measurement and characterization of harmonics and high frequency distortion for a large industrial load. IEEE Trans Power Deliv 5(1):427–434
Arseneau R et al, IEEE Working Group on Nonsinusoidal Situations (1996) A survey of North American electric utility concerns regarding nonsinusoidal waveforms. IEEE Trans Power Deliv 11(1):73–78
Oppenheim AV, Schafer R (1975) Digital signal processing. Prentice-Hall, Englewood Cliffs, ISBN: 0132146355
Gherasim C et al (2004) DSP implementation of power measurements according to the IEEE trial-use Standard 1459. IEEE Trans Instrum Meas 53(4):1086–1092
Girgis A, Qui J (1989) Measurement of the parameters of slowly time varying high frequency transients. IEEE Trans Instrum Meas 38(6):1057–1063
Dash PK et al (2000) An extended complex kalman filter for frequency measurement of distorted signals. IEEE Trans Instrum Meas 49(4):746–753
Fryze S (1932) Wirk-, Blind- und Scheinleistung in elektrischen Stromkreisen mit nichtsinusförmigem Verlauf von Strom und Spannung. Elektrotechnische Zeitschrift 25:569–599
Czarnecki LS (2000) Energy flow and power phenomena in electrical circuits: illusions and reality. Elect Eng 82:119–126
Emanuel AE (1993) On the definition of power factor and apparent power in unbalanced polyphase circuits with sinusoidal voltage and currents. IEEE Trans Power Deliv 8(3):841–852
Filipski PS (1993) Apparent power—a misleading quantity in the nonsinusoidal power theory: are all nonsinusoidal power theories doomed to fail?. Europian Trans Electr Power (ETEP) 3:21–26
IEEE Standard 1459–2000 (2000) Definitions for the measurement of electric quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions.
Willems JL, Ghijseln JA, Emanuel AE (1996) The apparent power concept and the IEEE Standard 1459–2000. IEEE Trans Power Deliv. 11(1):73–78
Emanuel AE (2004) Summary of IEEE Standard 1459: definitions for the measurement of electric power quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions. IEEE Trans Ind Appl 40(3):869–876
Terzija V, Djuric M, Kovacevic B (1994) Voltage phasor and local system frequency estimation using Newton type algorithm. IEEE Trans Power Deliv 9(3):1368–1374
Terzija V, Djuric M (1994) Direct estimation of voltage phasor, frequency and its rate of change using Newton’s iterative method. J Electr Power Energy Syst 16(6):423–428
Budeanu CI (1927) Puissances reactives at fictives. Institut Romain de l’Energie, Publ. 2, Bucharest, Romania
The Mathworks Inc. (2004) SympowerSystems User’s Guide v3.1
IMC-μ-Musycs, www.imc-berlin.de/messtechnik
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Terzija, V., Stanojevic, V. & Lazarevic, Z. Power components estimation using two-stage Newton type algorithm. Electr Eng 89, 591–600 (2007). https://doi.org/10.1007/s00202-006-0044-0
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DOI: https://doi.org/10.1007/s00202-006-0044-0