Communications - Scientific Letters of the University of Zilina 2010, 12(1):23-30 | DOI: 10.26552/com.C.2010.1.23-30
Analysis of Complex Time Function of Converter Output Quantities Using Complex Fourier Transform/Series
- 1 Faculty of Electrical Engineering, Technical University of Kosice, Slovakia
- 2 Faculty of Electrical Engineering, University of Zilina, Slovakia
- 3 University of 7th April, Zawia, Libya
The paper deals with the complex- and discrete Fourier transform which has been considered for both three- and two phase orthogonal voltages and currents of systems. The investigated systems are power electronic converters supplying alternating current motors. Output voltages of them are strongly non-harmonic ones, so they must be pulse-modulated due to requested nearly sinusoidal currents with low total harmonic distortion. Modelling and simulation experiment results of half-bridge matrix converter for both steady- and transient states are given under substitution of the equivalence scheme of the electric motor by resistive-inductive load and back induced voltage. The results worked-out in the paper confirm a very good time-waveform of the phase current and results of analysis can be used for fair power design of the systems.
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Published: March 31, 2010 Show citation
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References
- SMITH, S.W.: The Complex Fourier Transform, The Scientist and Engineer's Guide to Digital Signal Processing, California Technical Publishing, 1997-2007, pp. 567-580, ISBN 0-9660176-3-3.
Go to original source...
- HOFFMANN, M.: Fourier transform and DFT, Digital Signal Processing Maths, DESY, Hamburg, Germany, 2007, pp. 33-36; 42-56.
- CIZEK, V.: Discrete Fourier Transformation and Its Applications (in Czech), Mathematical Seminar Edition, SNTL Publisher, Prague (CZ), 1981.
- BIRINGER, P. P., SLONIM, M.A.: Determination of Harmonics of Converter Current and/or Voltage Waveforms (New Method for Fourier Coefficient Calculations), IEEE Transactions on Industry Applications, Vol. IA-16, 2/April 1980, pp. 248-253.
Go to original source...
- DEHBONEI, H., L. BORLE, NAYAR, C.V.: Optimal Voltage Harmonic Mitigation in Single-Phase Width Modulation, Proc. of AUPEC'01 Australasian Universities Power Engineering Conference, Perth (AUS), 2001, pp. 296.
- TAKEUCHI, T. J.: Theory of SCR Circuit and Application to Motor Control. Electrical Engineering. College Press, Tokyo (JP), 1968 - Russian Edition, Energija Publisher, Leningrad-St. Petersburg (RF), 1973, pp. 248, T 051(01)-73 130-73.
- DOBRUCKY, B., SUL, R., BENOVA, M.: Mathematical Modelling of Two-Stage Frequency Converter using Special Methods: Complex Conjugated Magnitudes and Orthogonal Park/Clarke Transformation Ones, J. of Applied Mathematics, Vol. II, 3/2009, ISSN 1337-6365.
- JARDAN, R. J., DEVAN, B. S., SLEMON, R. G.: General Analysis of Three Phase Inverters, IEEE Trans. on Industry and General Applications, 6/1969, pp. 672-679.
Go to original source...
- JARDAN, R. J.: Modes of Operation of Three Phase Inverters, IEEE Trans. on Industry and General Applications, 6/1969, pp. 680-685.
Go to original source...
- SOLIK, I., VITTEK, J., DOBRUCKY, B.: Time-Optimal Analysis of Characteristic Values of Periodical Waveforms in Complex Domain, J. of Modelling, Simulation, and Control, AMSE Press, Vol. A 28, 3/1990, pp. 49-64.
- MOHAN, N., UNDELAND, T. M., ROBBINS, W. P.: Power Electronics: Converters, Applications, and Design, John Wiley & Sons, Inc., ISBN 0-471-42908-2.
- ZASKALICKY, P., ZASKALICKA, M.: Calculation of the Current Waveform of an AC Converter by Fourier series, Proc. of ISEM'05 Int'l Symposium on Electrical Machines, Prague, 2005, pp.194-199.
- ZASKALICKY, P., ZASKALICKA, M.: Mathematical Model of the Single-Phase Inverter with Pulse-Width Modulation, Proc. of Mechatronika'09 Int'l Conf., Tren. Teplice (SK), 2009, pp. CD-ROM.
- BENOVA, M., DOBRUCKY, B., SZYCHTA, E., PRAZENICA, M.: Modelling and Simulation of HF Half-Bridge Matrix Converter System in Frequency Domain, Logistyka (PL), No. 6/2009, ISSN 1231-5478.
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