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Periodically variable two-terminal impedance description and measuring methods

Autorzy
Języki publikacji
EN
Abstrakty
EN
The subject of this paper is the problem how to describe and measure impedance of a linear periodically time-varying (LPTV) two-terminal. If the two-terminal parameters change synchronously to the supply the two-terminal is able to reach a periodical steady state, but supplied with a sinusoidal source produces a non-sinusoidal voltage or current. The LPTV system in the steady state may be described with a circular parametric operator (CPO). Within the discrete time domain, this operator takes the form of a real entries matrix. The circular parametric operator may be transformed into the spectral circular parametric operator (SCPO) using a two-dimensional DFT. This version of description makes it possible to assess quantitatively the LPTV system coercion and response harmonics aliasing. This paper presents two methods of determination of the impedance CPO of the LPTV two-terminal based on current and voltage signal measurements. The first method is designed for operating in the frequency domain, the second one operates in the discrete time domain and takes advantage of a genuine identification algorithm. Some results of computer simulations are presented.
Rocznik
Strony
375--390
Opis fizyczny
. Bibliogr. 16 poz., rys., wykr., wzory
Twórcy
Bibliografia
  • 1. Staroszczyk Z.: Power system time variance – LPTV model implementation and identification problems. International Conference on Harmonics and Quality of Power ICHQP2004, Lake Placid, New York, USA, 12-15 Sept. 2004, conference papers CD edition, pp. 1-8.
  • 2. Mehr A. S., Chen T.: Representations of Linear Periodically Time-Varying and Multirate Systems. IEEE Transactions on Signal Processing, vol. 50, no. 9, pp. 2221-2229, 2002.
  • 3. Verhagen M., Yu X.: A class of Subspace Model Identification Algorithms to Identify Periodically and Arbitrarily Time-varying Systems. Automatica, vol. 31, no. 2, Elsevier Science Ltd, pp. 201-216, 1995.
  • 4. Doroslovacki M., Fan H., Yao L.: Wavelet-Based Identification of Linear Discrete-Time systems: Robustness Issue. Automatica, vol. 34, no. 12, Elsevier Science Ltd, pp. 1637-1640, 1998.
  • 5. Meyer R. A., Burrus C. S.: A Unified Analysis of Multirate and Periodically Time-Varying Digital Filters. IEEE Transactions on Circuits and systems, vol. CAS-22, no. 3, pp. 162-168, 1975.
  • 6. Siwczyński M.: Analysis of nonlinear systems with concentrated and distributed parameters by a new numerical operator method in time and frequency domain. Proc. of 32nd Intern. Wiss Koll. TH Ilmenau, pp. 115-117, 1987.
  • 7. Siwczyński M.: Optimization methods in power theory of electrical networks. Monograph no. 183, Cracow University of Technology, Cracow, 1995. (in Polish)
  • 8. Shenoy R. G., Burnside D., Parks T. W.: Linear periodic systems and multirate filter design, IEEE Trans. Signal Processing, vol. 42, pp. 2242-2256, 1994.
  • 9. Chen T., Qiu L.: Linear periodically time-varying discrete-time systems: Aliasing and LTI approximations, Syst. Contr. Lett., vol. 30, pp. 225-235, 1997.
  • 10. Siwczyńska Z.: Synthesis of digital linear filters with periodically time varying parameters in frequency domain. 20th Seminar on Fundamentals of Electrotechnics and Circuit Theory XX SPETO, Gliwice - Ustroń, Poland, May 21-24, 1997, pp. 487-489. (in Polish)
  • 11. Siwczyński M.: Power Engineering Circuit Theory. Monograph, IGSMiE PAN, Cracow 2003. (in Polish)
  • 12. Mikołajuk K., Staroszczyk Z.: Periodical variability in power systems - small signal models, L’Energia Elletrica, suppl. num. 5-6, vol. 81, Sept./Dec. 2004, pp. 97-102.
  • 13. Staroszczyk Z.: A method for real-time, wide band identification of the source impedance in power systems, IEEE Trans. on Instr. and Measurement, vol. 54, pp. 377-385, 2005.
  • 14. Kłosiński R.: The algorithm of cycloparametric operator identification and its application in optimal control of compensation circuits. Proc. IEEE Workshop Signal Processing, Poznań, Poland, pp. 115-120.
  • 15. Kłosiński R.: Periodically time-varying two-terminals at a steady state, description and identification, 13th ICECS 2006: IEEE International Conference on Electronics, Circuits and Systems, Nice, France, pp. 284-287, 2006 [CD-ROM].
  • 16. Kłosiński R.: A steady state impedance of a periodically time-varying two-terminal and its determination, submitted to International Journal of Circuit Theory and Applications, Wiley Ltd.
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