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Application of Analytic Signal and Smooth Interpolation in Pulse Width Modulation for Conventional Matrix Converters

Abstract

The paper proposes an alternative and novel approach to the PWM duty cycles computation for Conventional Matrix Converters (CMC) fed by balanced, unbalanced or non–sinusoidal AC voltage sources. The presented solution simplifies the prototyping of direct modulation algorithms. PWM duty cycles are calculated faster by the smooth interpolation technique, using only vector coordinates, without trigonometric functions and angles. Both input voltages and output reference voltages are expressed by analytic signals in the proposed direct modulation. Input voltages are represented by the rotating vector collection in the two–dimensional Cartesian coordinate system. All reference output voltages are located inside the triangular surface, named here as the voltage synthesis field, formed by these rotating vectors. A certain degree of reference signals placement freedom allows to maximize the voltage transfer ratio to 0:866 with less switching compared to the Optimum–Venturini direct method. The proposed solution was verified by simulations and experiments for CMC3xk. The comparison with the Optimum–Venturini modulation is included. The proposed PWM duty cycle computation approach can also be applied to multiphase CMC converters for any number of inputs as well as outputs.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS no. 67, pages 10011 - 10023,
ISSN: 0278-0046
Language:
English
Publication year:
2020
Bibliographic description:
Szczepankowski P., Wheeler P., Bajdecki T.: Application of Analytic Signal and Smooth Interpolation in Pulse Width Modulation for Conventional Matrix Converters// IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS -Vol. 67,iss. 12 (2020), s.10011-10023
DOI:
Digital Object Identifier (open in new tab) 10.1109/tie.2019.2956391
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  1. L. Empringham, J. Kolar, J. Rodriguez, P. Wheeler, and J. C. Clare, "Technological issues and industrial application of matrix converters: A review," IEEE Trans. Ind. Electron., vol. 60, DOI 10.1109/TIE.2012.2216231, no. 10, pp. 4260-4271, Oct. 2013. open in new tab
  2. C. Klumpner, P. Nielsen, I. Boldea, and F. Blaabjerg, "A new matrix converter motor (mcm) for industry applications," IEEE Trans. Ind. Electron., vol. 49, no. 2, pp. 325-335, Apr. 2002. open in new tab
  3. M. Venturini and A. Alesina, "The generalised transformer: A new bidirectional, sinusoidal waveform frequency converter with continu- ously adjustable input power factor," in 1980 IEEE Power Electronics Specialists Conference, DOI 10.1109/PESC.1980.7089455, pp. 242-252, Jun. 1980. open in new tab
  4. A. Alesina and M. G. B. Venturini, "Analysis and design of optimum- amplitude nine-switch direct ac-ac converters," IEEE Transactions on Power Electronics, vol. 4, DOI 10.1109/63.21879, no. 1, pp. 101-112, Jan. 1989. open in new tab
  5. T. Friedli and J. Kolar, "Milestones in matrix converter research," IEEJ Journal of Industry Application, vol. 1, DOI 10.1541/ieejjia.1.2, no. 1, pp. 2-14, Jul. 2012. open in new tab
  6. A. K. Dey, G. Mohapatra, T. K. Mohapatra, and R. Sharma, "A modified venturini pwm scheme for matrix converters," in 2019 IEEE International Conference on Sustainable Energy Technologies and Sys- tems (ICSETS), DOI 10.1109/ICSETS.2019.8745014, pp. 013-018, Feb. 2019. open in new tab
  7. J. Rodriguez, M. Rivera, J. Kolar, and P. Wheeler, "A review of control and modulation methods for matrix converters," IEEE Trans. Ind. Electron., vol. 59, DOI 10.1109/TIE.2011.2165310, no. 1, pp. 58- 70, Jan. 2012. open in new tab
  8. Z. Malekjamshidi, M. Jafari, and J. Zhu, "Analysis and comparison of direct matrix converters controlled by space vector and venturini modulations," in 2015 IEEE 11th International Conference on Power Electronics and Drive Systems, DOI 10.1109/PEDS.2015.7203550, pp. 635-639, Jun. 2015. open in new tab
  9. S. M. Ahmed, Z. Salam, and H. Abu-Rub, "An improved space vector modulation for a three-to-seven-phase matrix converter with reduced number of switching vectors," IEEE Trans. Ind. Electron., vol. 62, DOI 10.1109/TIE.2014.2381158, no. 6, pp. 3327-3337, Dec. 2015. open in new tab
  10. S. M. Ahmed, A. Iqbal, H. Abu-Rub, J. Rodriguez, C. Rojas, and M. Saleh, "Simple carrier-based pwm technique for a three-to-nine phase direct ac-ac converter," IEEE Trans. Ind. Electron., vol. 58, DOI 10.1109/TIE.2011.2134062, no. 11, pp. 5014-5023, Nov. 2011. open in new tab
  11. S. M. Ahmed, A. Iqbal, and H. Abu-Rub, "Generalized duty- ratio-based pulsewidth modulation technique for a three-to-k phase matrix converter," IEEE Trans. Ind. Electron., vol. 58, DOI 10.1109/TIE.2010.2098373, no. 9, pp. 3925-3937, Sep. 2011. open in new tab
  12. T. D. Nguyen and H. Lee, "Development of a three-to-five-phase indirect matrix converter with carrier-based pwm based on space- vector modulation analysis," IEEE Trans. Ind. Electron., vol. 63, DOI 10.1109/TIE.2015.2472359, no. 1, pp. 13-24, Sep. 2016. open in new tab
  13. P. Zanchetta, P. Wheeler, J. Clare, M. Bland, L. Empringham, and D. Katsis, "Control design of a three-phase matrix-converter-based ac-ac mobile utility power supply," IEEE Trans. Ind. Electron., vol. 55, DOI 10.1109/TIE.2007.903974, no. 1, pp. 209-217, Jan. 2008. open in new tab
  14. X. Liu, P. Wang, P. Loh, and F. Blaabjerg, "A three-phase dual-input matrix converter for grid integration of two ac type energy resources," IEEE Trans. Ind. Electron., vol. 60, DOI 10.1109/TIE.2012.2183838, no. 1, pp. 20-29, Jan. 2013. open in new tab
  15. M. Y. Lee, P. Wheeler, and C. Klumpner, "Space-vector modulated multilevel matrix converter," IEEE Trans. Ind. Electron., vol. 57, DOI 10.1109/TIE.2009.2038940, no. 10, pp. 3385-3394, Oct. 2010. open in new tab
  16. R. Pena, R. Cardenas, E. Reyes, J. Clare, and P. Wheeler, "Control of a doubly fed induction generator via an indirect matrix converter with changing dc voltage," IEEE Trans. Ind. Electron., vol. 58, DOI 10.1109/TIE.2011.2109334, no. 10, pp. 20-29, Oct. 2011. open in new tab
  17. L. Helle, K. Larsen, A. Jorgensen, S. Munk-Nielsen, and F. Blaab- jerg, "Evaluation of modulation schemes for three-phase to three- phase matrix converters," IEEE Trans. Ind. Electron., vol. 51, DOI 10.1109/TIE.2003.821900, no. 1, pp. 158-171, Feb. 2004. open in new tab
  18. U. Nasir, A. Costabeber, P. Wheeler, and M. Rivera, "A new ac/ac power converter," in 2017 IEEE Southern Power Electronics Conference (SPEC), DOI 10.1109/SPEC.2017.8333649, pp. 1-6, Dec. 2017. open in new tab
  19. P. Boonseam, N. Jarutus, and Y. Kumsuwan, "A control strategy for a matrix converter based on venturini method under unbalanced input voltage conditions," in 2016 13th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Informa- tion Technology (ECTI-CON), DOI 10.1109/ECTICon.2016.7561471, pp. 1-6, Jun. 2016. open in new tab
  20. W. Xiong, Y. Sun, J. Lin, M. Su, H. Dan, M. Rivera, and J. M. Guerrero, "A cost-effective and low-complexity predictive control for matrix open in new tab
  21. Fig. 26: A 5-phase IM supplied by CMC3 × 5 during the 20% of input voltage asymmetry: q = 0.6, φ i = 0, ω o = 0.8ω i . converters under unbalanced grid voltage conditions," IEEE Access, vol. 7, DOI 10.1109/ACCESS.2019.2908446, pp. 43 895-43 905, 2019. open in new tab
  22. X. Wang, H. Lin, H. She, and B. Feng, "A research on space vector modulation strategy for matrix converter under abnormal input-voltage conditions," IEEE Trans. Ind. Electron., vol. 59, DOI 10.1109/TIE.2011.2157288, no. 1, pp. 93-104, Jan. 2012. open in new tab
  23. O. Abdel-Rahim, H. Funato, H. Abu-Rub, and O. Ellabban, "Multi- phase wind energy generation with direct matrix converter," in 2014 IEEE International Conference on Industrial Technology (ICIT), DOI 10.1109/ICIT.2014.6894994, pp. 519-523, Feb. 2014. open in new tab
  24. M. Ali, A. Iqbal, M. R. Khan, M. Ayyub, and M. A. Anees, "Generalized theory and analysis of scalar modulation techniques for a m × n matrix converter," IEEE Transactions on Power Electronics, vol. 32, DOI 10.1109/TPEL.2016.2600034, no. 6, pp. 4864-4877, Jun. 2017. open in new tab
  25. M. Ali, A. Iqbal, M. Anas Anees, M. Rizwan Khan, K. Rahman, and M. Ayyub, "Differential evolution-based pulse-width modulation technique for multiphase mc," IET Power Electronics, vol. 12, DOI 10.1049/iet-pel.2018.5862, no. 9, pp. 2224-2235, 2019. open in new tab
  26. S. Pipolo, A. Formentini, A. Trentin, P. Zanchetta, M. Calvini, and M. Venturini, "A new modulation approach for matrix converter," in 2019 10th International Conference on Power Electronics and ECCE Asia (ICPE 2019 -ECCE Asia), pp. 1021-1027, May. 2019.
  27. M. Ishida, T. Ueda, T. Tanaka, and D. Ueda, "Gan on si technologies for power switching devices," IEEE Transactions on Electron Devices, vol. 60, DOI 10.1109/TED.2013.2268577, no. 10, pp. 3053-3059, Oct. 2013. open in new tab
  28. D. Lan, P. Das, and S. K. Sahoo, "A high-frequency link matrix rectifier with a pure capacitive output filter in a discontinuous conduction mode," IEEE Transactions on Industrial Electronics, vol. 67, DOI 10.1109/TIE.2019.2893838, no. 1, pp. 4-15, Jan. 2020. open in new tab
  29. R. J. Kaplar, M. J. Marinella, S. DasGupta, M. A. Smith, S. Atcitty, M. Sun, and T. Palacios, "Characterization and reliability of sic-and gan-based power transistors for renewable energy applications," in 2012 IEEE Energytech, DOI 10.1109/EnergyTech.2012.6304627, pp. 1-6, May. 2012. open in new tab
  30. L. Keuck, P. Hosemann, B. Strothmann, and J. Boecker, "A comparative study on si-sj-mosfets vs. gan-hemts used for llc-single-stage battery charger," in PCIM Europe 2017; International Exhibition and Confer- ence for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management, pp. 1-8, May. 2017. open in new tab
  31. K. Kumar, M. Bhattacharya, S. Garlapati, and S. Banerjee, "Impact of gallium nitride semiconductor devices in tri-state boost converter," in 2019 IEEE International Conference on Sustainable Energy Technolo- gies and Systems (ICSETS), DOI 10.1109/ICSETS.2019.8744791, pp. 292-296, Feb. 2019. open in new tab
  32. A. Taylor, J. Lu, L. Zhu, K. Bai, M. McAmmond, and A. Brown, "Comparison of sic mosfet-based and gan hemt-based high-efficiency high-power-density 7.2 kw ev battery chargers," IET Power Electronics, vol. 11, DOI 10.1049/iet-pel.2017.0467, no. 11, pp. 1849-1857, 2018. open in new tab
  33. N. He, M. Chen, J. Wu, N. Zhu, and D. Xu, "20-kw zero-voltage- switching sic-mosfet grid inverter with 300 khz switching frequency," IEEE Transactions on Power Electronics, vol. 34, DOI 10.1109/T- PEL.2018.2866824, no. 6, pp. 5175-5190, Jun. 2019. open in new tab
  34. T. Hirota, K. Inomata, D. Yoshimi, and M. Higuchi, "Nine switches matrix converter using bi-directional gan device," in 2018 International Power Electronics Conference (IPEC-Niigata 2018 -ECCE Asia), DOI 10.23919/IPEC.2018.8507399, pp. 3952-3957, May. 2018. open in new tab
  35. G. Todoran and R. Holonec, "Analysis of the multi-phased system based on the concept of analytic signals," 4th International Conference on Power Engineering, Energy and Electrical Drives, DOI 10.1109/Pow- erEng.2013.6635689, May. 2013. open in new tab
  36. C. Rader, "A simple method for sampling in-phase and quadrature components," IEEE Aerosp. Electron. Syst. Mag., vol. AES-20, DOI 10.1109/TAES.1984.310466, no. 6, pp. 821-824, Nov. 1984. open in new tab
  37. A. Reilly, G. Frazer, and B. Boashash, "Analytic signal generation- tips and traps," IEEE Trans. Signal Process., vol. 42, DOI 10.1109/78.330385, no. 11, pp. 3241-3245, Nov. 1994. open in new tab
  38. L. Marple, "Computing the discrete-time "analytic" signal via fft," IEEE Trans. Signal Process., vol. 47, DOI 10.1109/78.782222, no. 9, pp. 2600-2603, Sep. 1999. open in new tab
  39. L. Asiminoael, F. Blaabjerg, and S. Hansen, "Computing the discrete- time "analytic" signal via fft," IEEE Ind. Appl. Mag., vol. 13, DOI 10.1109/MIA.2007.4283506, no. 4, pp. 22-33, Jul. 2007. open in new tab
  40. H. Hojabri, H. Mokhtari, and L. Chang, "A generalized technique of modeling, analysis, and control of a matrix converter using svd," IEEE Trans. Ind. Electron., vol. 58, DOI 10.1109/TIE.2010.2048836, no. 3, pp. 949-959, Mar. 2011. open in new tab
  41. P. Szczepankowski and J. Nieznanski, "Application of barycentric coordinates in space vector pwm computations," IEEE Access, DOI 10.1109/ACCESS.2019.2914854, 2019. open in new tab
  42. D. Casadei, G. Serra, A. Tani, and L. Zarrir, "Matrix converter mod- ulation strategies: A new general approach based on space-vector representation of the switch state," IEEE Trans. Ind. Electron., vol. 49, DOI 10.1109/41.993270, no. 2, pp. 370-381, Apr. 2002. open in new tab
  43. M. Apap, J. Clare, P. Wheeler, and K. Bradley, "Analysis and comparison of ac-ac matrix converter control strategies," IEEE 34th Annual Conference on Power Electronics Specialist, DOI 10.1109/PESC.2003.1216774, pp. 1287-1292, Jun. 2003. open in new tab
  44. N. S. E. Malsch, "Recent advanced in the construction of polygonal finite element interpolants," Arch. Computat. Methods Eng., vol. 11, DOI doi.org/10.1007/BF02905933, pp. 1-38, Sep. 2005. open in new tab
  45. G. Dasgupta, "Interpolants within convex polygons: Wachspress shape functions," Journal of Aerospace Engineering, vol. 16, DOI doi.org/10.1061/(ASCE)0893-1321(2003)16:1(1), no. 1, Jan. 2003. open in new tab
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