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Fast four-point estimators of sinusoidal signal parameters – numerical optimisations for embedded measuring systems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents an algorithm for determining parameters of single sinusoidal components contained in the analyzed digital signal with the use of a small number of mathematical operations. The proposed algorithm can be applied, among others, in measuring devices to monitor basic parameters of electric energy quality as well as in devices used to determine the phasor in the power system. The proposed simplification of the algorithm for determining the sinusoidal components of the analyzed signal allows to use it in embedded devices with low computing power, which translates into lower cost of construction of devices of this type, while maintaining full functionality of the measuring system. The article contains a mathematical argument, which leads to the proposed algorithm, then the optimization of the number of performed mathematical operations is presented. The last part of the paper includes information about performed mathematical operations and presents exemplary times of execution of the algorithm for simple embedded devices.
Słowa kluczowe
Rocznik
Strony
465--472
Opis fizyczny
Bibliogr. 18 poz., rys., tab., wykr., wzory
Twórcy
  • Opole University of Technology, Faculty of Electrical Engineering, Automatic Control and Informatics, Prószkowska 76, 45-758 Opole, Poland
  • Opole University of Technology, Faculty of Electrical Engineering, Automatic Control and Informatics, Prószkowska 76, 45-758 Opole, Poland
  • Wroclaw University of Technology, Chair of Electronic and Photonic Metrology, Bolesława Prusa 53/55, 50-317 Wrocław, Poland
Bibliografia
  • [1] Borkowski, J., Kania, D., Mroczka, J. (2014). Influence of A/D quantization in an interpolated DFT based system of power control with a small delay. Metrology and Measurement Systems, 21(3), 423-432.
  • [2] Borkowski, J., Kania, D. (2016). Interpolated-DFT-based fast and accurate amplitude and phase estimation for the control of power. Metrology and Measurement Systems, 23(1), 13-26.
  • [3] Yu, C., Huang, Y., Jiang, J. (2010). A Full- and Half-Cycle DFT-based technique for fault current filtering. Proceedings of the 2010 IEEE International Conference on Industrial Technology (ICIT), Vina del Mar, Chile, 859-864.
  • [4] Wen, H., Teng, Z., Wang, Y., Zeng, B., Hu, X. (2011). Simple interpolated FFT algorithm based on minimize sidelobe windows for power-harmonic analysis. IEEE Transactions on Power Electronics, 26(9), 2570-2579.
  • [5] Zygarlicki, J., Mroczka, J. (2012). Prony method used for testing harmonics and interharmonics of electric power signals. Metrology and Measurement Systems, 19(4), 659-672.
  • [6] Zygarlicki, J., Zygarlicka, M., Mroczka, J., Latawiec, K. (2010). A reduced Prony’s method in power quality analysis - parameters selection. IEEE Transactions on Power Delivery, 25(2), 979-986.
  • [7] Zygarlicki, J. (2017). Fast second order original Prony’s method for embedded measuring systems. Metrology and Measurement Systems, 24(4), 721-728.
  • [8] Zahlay, F.D., Rama Rao, K.S. (2012). Neuro-Prony and Taguchi’s methodology based adaptive autoreclosure scheme for electric transmission systems. IEEE Transactions on Power Delivery, 27(2), 575-582.
  • [9] Vizireanu, D.N. (2011). A simple and precise real-time four point single sinusoid signals instantaneous frequency estimation method for portable DSP based instrumentation. Measurement, 44(2), 500-502.
  • [10] Vizireanu, D.N., Preda, R.O. (2013). Is “five-point” estimation better than “three-point” estimation? Measurement, 46(1), 840-842.
  • [11] Sienkowski, S. (2016). A method of m-point sinusoidal signal amplitude estimation. Measurement Science Review, 16(5), 244-253.
  • [12] Sienkowski, S., Krajewski, M. (2018). Simple, fast and accurate four-point estimators of sinusoidal signal frequency. Metrology and Measurement Systems, 25(2), 359-376.
  • [13] Pan, X., Zhao, H., Zou, W., Zhou, Y., Ma, J., Wang, J., Hu, F. (2016). Frequency estimation of discrete time signals based on fast iterative algorithm. Measurement, 82, 461-465.
  • [14] Texas Instruments. (2011). MSP430G2x53, MSP430G2x13: Mixed signal microcontroller. [DatasheetSLAS735J]. http://www.ti.com/lit/ds/slas735j/slas735j.pdf (accessed on Dec. 2019).
  • [15] Nuvoton. (2012). NuMicro™Family NUC140 Data Sheet. [Datasheet, v3.02]. https://www.nuvoton.com/resource-files/DA00-NUC140ENF1.pdf (accessed on Dec. 2019).
  • [16] Texas Instruments. (2014). Tiva™TM4C1233H6PM Microcontroller. [Datasheet, v15842.2741].http://www.ti.com/lit/ds/symlink/tm4c1233h6pm.pdf (accessed on Dec. 2019).
  • [17] Texas Instruments. (2008). TMS320F2802x Microcontrollers. [Datasheet, SPRS523N]. http://www.ti.com/lit/ds/symlink/tms320f28027.pdf (accessed on Dec. 2019).
  • [18] Kumaresan, R., Feng, Y. (1991). FIR prefiltering improves Prony’s method. IEEE Transactions Signal Processing, 39(3), 736-741.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1c99e40a-27ab-4ff8-a962-2f2b3eeb406b
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