Direct modulation for conventional matrix converters using analytical signals and barycentric coordinates
Abstract
This paper proposes the generalized direct modulation for Conventional Matrix Converters (CMC) using the concept of analytical signals and barycentric coordinates. The paper proposes a novel approach to the Pulse Width Modulation (PWM) duty cycle computing, which allows faster prototyping of direct control algorithms. The explanation of the new idea using analytical considerations demonstrating the principles of direct voltage synthesis has been presented in the article. The study concerns mainly the CMC3x3 but solutions for 3xn, 5x5, and 5x3 topologies have also been discussed. The transformation of instantaneous input voltages to analytic signals great permits for simple presenting of real input voltage conditions such as waveform type, asymmetry or other deformation like higherorder harmonics. The proposed interpolation methods allow for determining the values of PWM duty cycles using simple formulas based on the determinants of the 2nddegree matrices. Therefore, the proposed method, which based on the barycentric coordinates, frees an algorithm from trigonometry and angles.
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Authors (3)
Details
 Category:
 Articles
 Type:
 artykuły w czasopismach
 Published in:

IEEE Access
no. 8,
pages 22592  22616,
ISSN: 21693536  Language:
 English
 Publication year:
 2020
 Bibliographic description:
 Szczepankowski P., Bajdecki T., Strzelecki R.: Direct modulation for conventional matrix converters using analytical signals and barycentric coordinates// IEEE Access Vol. 8, (2020), s.2259222616
 DOI:
 Digital Object Identifier (open in new tab) 10.1109/access.2020.2969981
 Bibliography: test

 J. Rodriguez, M. Rivera, J. W. Kolar, and P. W. Wheeler, ''A review of control and modulation methods for matrix converters,'' IEEE Trans. Ind. Electron., vol. 59, no. 1, pp. 5870, Jan. 2012. open in new tab
 L. Helle, K. Larsen, A. Jorgensen, S. MunkNielsen, and F. Blaabjerg, ''Evaluation of modulation schemes for threephase to threephase matrix converters,'' IEEE Trans. Ind. Electron., vol. 51, no. 1, pp. 158171, Feb. 2004. open in new tab
 T. Friedli and J. Kolar, ''Milestones in matrix converter research,'' IEEJ J. Ind. Appl., vol. 1, no. 1, pp. 214, Jul. 2012. open in new tab
 S. Mori, M. Aketa, T. Sakaguchi, H. Asahara, T. Nakamura, and T. Kimoto, ''Suppression of punchthrough current in 3 kV 4HSiC reverseblocking MOSFET by using highly doped drift layer,'' IEEE J. Electron Devices Soc., vol. 6, no. 1, pp. 449453, Mar. 2018. open in new tab
 J. Luo, X.P. Zhang, and Y. Xue, ''Small signal model of modular multi level matrix converter for fractional frequency transmission system,'' IEEE Access, vol. 7, pp. 110187110196, 2019. open in new tab
 S. Tammaruckwattana, C. Yue, Y. Ikeda, and K. Ohyama, ''Comparison of switching losses of matrix converters for commutation methods,'' in Proc. 16th Eur. Conf. Power Electron. Appl., Aug. 2014, pp. 110. open in new tab
 Y. Guo, Y. Guo, W. Deng, J. Zhu, and F. Blaabjerg, ''An improved 4step commutation method application for matrix converter,'' in Proc. 17th Int. Conf. Electr. Mach. Syst. (ICEMS), Oct. 2014, pp. 35903593. open in new tab
 O. Simon, J. Mahlein, M. Muenzer, and M. Bruckmarm, ''Modern solu tions for industrial matrixconverter applications,'' IEEE Trans. Ind. Elec tron., vol. 49, no. 2, pp. 401406, Apr. 2002. open in new tab
 A. Hassan, Y. Savaria, and M. Sawan, ''GaN integration technology, an ideal candidate for hightemperature applications: A review,'' IEEE Access, vol. 6, pp. 7879078802, 2018. open in new tab
 M. Ishida, T. Ueda, T. Tanaka, and D. Ueda, ''GaN on Si technologies for power switching devices,'' IEEE Trans. Electron Devices, vol. 60, no. 10, pp. 30533059, Oct. 2013. open in new tab
 D. Lan, P. Das, and S. K. Sahoo, ''A highfrequency link matrix rectifier with a pure capacitive output filter in a discontinuous conduction mode,'' IEEE Trans. Ind. Electron., vol. 67, no. 1, pp. 415, Jan. 2020. open in new tab
 R. J. Kaplar, M. J. Marinella, S. DasGupta, M. A. Smith, S. Atcitty, M. Sun, and T. Palacios, ''Characterization and reliability of SiCand gan based power transistors for renewable energy applications,'' in Proc. IEEE Energytech, May 2012, pp. 16. open in new tab
 J. Benzaquen, M. B. Shadmand, and B. Mirafzal, ''Ultrafast rectifier for variablefrequency applications,'' IEEE Access, vol. 7, pp. 99039911, 2019. open in new tab
 Q. Wu, M. Wang, W. Zhou, X. Wang, G. Liu, and C. You, ''Analytical switching model of a 1200 V SiC MOSFET in a highfrequency series resonant pulsed power converter for plasma generation,'' IEEE Access, vol. 7, pp. 9962299632, 2019. open in new tab
 P. W. Wheeler, J. C. Clare, M. Apap, D. Lampard, S. J. Pickering, K. J. Bradley, and L. Empringham, ''An integrated 30 kw matrix converter based induction motor drive,'' in Proc. IEEE 36th Power Electron. Spec. Conf., Jun. 2005, pp. 23902395. open in new tab
 L. Empringham, J. W. Kolar, J. Rodriguez, P. W. Wheeler, and J. C. Clare, ''Technological issues and industrial application of matrix converters: A review,'' IEEE Trans. Ind. Electron., vol. 60, no. 10, pp. 42604271, Oct. 2013. open in new tab
 L. R. MerchanVillalba, J. M. LozanoGarcia, J. G. AvinaCervantes, H. J. EstradaGarcia, and J. MartinezPatino, ''Matrix converter based on SVD modulation using a microcontroller as unique controlling device,'' IEEE Access, vol. 7, pp. 164815164824, 2019. open in new tab
 K. Rahman, A. Iqbal, M. A. AlHitmi, O. Dordevic, and S. Ahmad, ''Performance analysis of a threetofive phase dual matrix converter based on space vector pulse width modulation,'' IEEE Access, vol. 7, pp. 1230712318, 2019. open in new tab
 S. M. Ahmed, A. Iqbal, and H. AbuRub, ''Generalized dutyratiobased pulsewidth modulation technique for a threetok phase matrix converter,'' IEEE Trans. Ind. Electron., vol. 58, no. 9, pp. 39253937, Sep. 2011. open in new tab
 A. Iqbal, H. AbuRub, J. Rodriguez, C. A. Rojas, and M. Saleh, ''Simple carrierbased PWM technique for a threetoninephase direct ACAC converter,'' IEEE Trans. Ind. Electron., vol. 58, no. 11, pp. 50145023, Nov. 2011. open in new tab
 S. M. Ahmed, Z. Salam, and H. AbuRub, ''An improved space vec tor modulation for a threetosevenphase matrix converter with reduced number of switching vectors,'' IEEE Trans. Ind. Electron., vol. 62, no. 6, pp. 33273337, Jun. 2015. open in new tab
 X. Wang, H. Lin, H. She, and B. Feng, ''A research on space vector modulation strategy for matrix converter under abnormal inputvoltage conditions,'' IEEE Trans. Ind. Electron., vol. 59, no. 1, pp. 93104, Jan. 2012. open in new tab
 W. Xiong, Y. Sun, J. Lin, M. Su, H. Dan, M. Rivera, and J. M. Guerrero, ''A costeffective and lowcomplexity predictive control for matrix con verters under unbalanced grid voltage conditions,'' IEEE Access, vol. 7, pp. 4389543905, 2019. open in new tab
 Z. Malekjamshidi, M. Jafari, and J. Zhu, ''Analysis and comparison of direct matrix converters controlled by space vector and Venturini mod ulations,'' in Proc. IEEE 11th Int. Conf. Power Electron. Drive Syst., Jun. 2015, pp. 635639. open in new tab
 A. K. Dey, G. Mohapatra, T. K. Mohapatra, and R. Sharma, ''A modified Venturini PWM scheme for matrix converters,'' in Proc. IEEE Int. Conf. Sustain. Energy Technol. Syst. (ICSETS), Feb. 2019, pp. 013018. open in new tab
 Z. Malekjamshidi, M. Jafari, J. Zhu, and D. Xiao, ''Comparative analysis of input power factor control techniques in matrix converters based on model predictive and space vector control schemes,'' IEEE Access, vol. 7, pp. 139150139160, 2019. open in new tab
 S. Feng, J. Lei, J. Zhao, W. Chen, and F. Deng, ''Improved refer ence generation of active and reactive power for matrix converter with model predictive control under input disturbances,'' IEEE Access, vol. 7, pp. 9700197012, 2019. open in new tab
 E. Levi, ''Multiphase machines for variable speed applications,'' IEEE Trans. Ind. Electron., vol. 55, no. 5, pp. 18931909, May 2008. open in new tab
 E. Levi, R. Bojoi, F. Profumo, H. Toliyat, and S. Williamson, ''Multiphase induction motor drivesa technology status review,'' IET Electr. Power Appl., vol. 1, no. 4, pp. 489516, Jul. 2007. open in new tab
 O. AbdelRahim, H. Funato, H. AbuRub, and O. Ellabban, ''Multiphase wind energy generation with direct matrix converter,'' in Proc. IEEE Int. Conf. Ind. Technol. (ICIT), Feb. 2014, pp. 519523. open in new tab
 D. Casadei, G. Serra, A. Tani, and L. Zarri, ''Matrix converter modulation strategies: A new general approach based on spacevector representation of the switch state,'' IEEE Trans. Ind. Electron., vol. 49, no. 2, pp. 370381, Apr. 2002. open in new tab
 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, no. 3, pp. 949959, Mar. 2011. open in new tab
 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 Trans. Power Electron., vol. 32, no. 6, pp. 48644877, Jun. 2017. open in new tab
 A. Reilly, G. Frazer, and B. Boashash, ''Analytic signal generationtips and traps,'' IEEE Trans. Signal Process., vol. 42, no. 11, pp. 32413245, Nov. 1994. open in new tab
 L. Marple, ''Computing the discretetime 'analytic' signal via FFT,'' IEEE Trans. Signal Process., vol. 47, no. 9, pp. 26002603, Sep. 1999. open in new tab
 L. Asiminoael, F. Blaabjerg, and S. Hansen, ''Computing the discretetime 'analytic' signal via FFT,'' IEEE Ind. Appl. Mag., vol. 13, no. 4, pp. 2233, Jul. 2007. open in new tab
 P. Szczepankowski, P. Wheeler, and T. Bajdecki, ''Application of analytic signal and smooth interpolation in pulse width modulation for conventional matrix converters,'' IEEE Trans. Ind. Electron., to be published. open in new tab
 P. Szczepankowski and J. Nieznanski, ''Application of Barycentric coor dinates in space vector PWM computations,'' IEEE Access, vol. 7, pp. 9149991508, 2019. open in new tab
 N. S. E. Malsch, ''Recent advanced in the construction of polygonal finite element interpolants,'' Arch. Comput. Methods Eng., vol. 11, pp. 138, Sep. 2005.
 M. Apap, J. Clare, P. Wheeler, and K. Bradley, ''Analysis and comparison of ACAC matrix converter control strategies,'' in Proc. IEEE 34th Annu. Conf. Power Electron. Spec., Jun. 2003, pp. 12871292. open in new tab
 G. Dasgupta, ''Interpolants within convex polygons: Wachspress shape functions,'' J. Aerosp. Eng., vol. 16, no. 1, pp. 18, Jan. 2003. open in new tab
 G. Todoran and R. Holonec, ''Analysis of the multiphased system based on the concept of analytic signals,'' in Proc. 4th Int. Conf. Power Eng., Energy Elect. Drives, May 2013, pp. 664669. open in new tab
 C. Rader, ''A simple method for sampling inphase and quadrature components,'' IEEE Trans. Aerosp. Electron. Syst., vol. AES20, no. 6, pp. 821824, Nov. 1984. open in new tab
 X. Chen, J. Wang, V. I. Patel, and P. Lazari, ''A ninephase 18slot 14pole interior permanent magnet machine with low space harmonics for elec tric vehicle applications,'' IEEE Trans. Energy Convers., vol. 31, no. 3, pp. 860871, Sep. 2016. open in new tab
 T. D. Nguyen and H.H. Lee, ''Development of a threetofivephase indirect matrix converter with carrierbased PWM based on spacevector modulation analysis,'' IEEE Trans. Ind. Electron., vol. 63, no. 1, pp. 1324, Jan. 2016. open in new tab
 C. N. ElKhoury, H. Y. Kanaan, I. Mougharbel, and K. AlHaddad, ''A review of matrix converters applied to PMSG based wind energy conversion systems,'' in Proc. 39th Annu. Conf. IEEE Ind. Electron. Soc. (IECON), Nov. 2013, pp. 77847789. open in new tab
 X. Liu, P. Wang, P. C. Loh, and F. Blaabjerg, ''A threephase dualinput matrix converter for grid integration of two AC type energy resources,'' IEEE Trans. Ind. Electron., vol. 60, no. 1, pp. 2030, Jan. 2013. open in new tab
 R. Pena, R. Cardenas, E. Reyes, J. Clare, and P. Wheeler, ''Control of a dou bly fed induction generator via an indirect matrix converter with changing DC voltage,'' IEEE Trans. Ind. Electron., vol. 58, no. 10, pp. 46644674, Oct. 2011. open in new tab
 A. Garcés and M. Molinas, ''A study of efficiency in a reduced matrix converter for offshore wind farms,'' IEEE Trans. Ind. Electron., vol. 59, no. 1, pp. 184193, Jan. 2012. open in new tab
 J. Esch, ''Highpower wind energy conversion systems: Stateoftheart and emerging technologies,'' Proc. IEEE, vol. 103, no. 5, pp. 736739, May 2015. open in new tab
 I. Zoric, M. Jones, and E. Levi, ''Arbitrary power sharing among three phase winding sets of multiphase machines,'' IEEE Trans. Ind. Electron., vol. 65, no. 2, pp. 11281139, Feb. 2018. open in new tab
 A. Iqbal, S. Moinuddin, M. R. Khan, S. M. Ahmed, and H. AbuRub, ''A novel threephase to fivephase transformation using a special transformer connection,'' IEEE Trans. Power Del., vol. 25, no. 3, pp. 16371644, Jul. 2010. open in new tab
 A. S. AbdelKhalik, A. Elserougi, Z. Shafik, S. Ahmed, and A. Massoud, ''A scott connectionbased threephase to fivephase power transformer,'' in Proc. 39th Annu. Conf. IEEE Ind. Electron. Soc. (IECON), Nov. 2013, pp. 25592564. open in new tab
 A. Munteanu, A. Simion, D. A. Hagianu, L. Livadaru, and D. Bidei, ''Special threephase to multiple different polyphase systems electric trans former,'' in Proc. Int. Conf. Expo. Elect. Power Eng. (EPE), Oct. 2014, pp. 345348. open in new tab
 T. J. Sobczyk and D. Borkowski, ''Application of matrix converter for power flow control in a transmission line,'' in Proc. IEEE Lausanne Power Tech, Jul. 2007, pp. 18231828. open in new tab
 T. J. Sobczyk, T. Sienko, and J. B. Danilewicz, ''Study of asymmetrical regimes in matrix converters for multiphase high speed generators,'' in Proc. IEEE Russia Power Tech, Jun. 2005, pp. 16. open in new tab
 PAWEL SZCZEPANKOWSKI (Member, IEEE) received the Ph.D. degree in electrical engineer ing from the Gdansk University of Technology, Poland, in 2009. He has authored or coauthored more than 30 scientific and technical articles. His research interests include designs, control, diag nostics, modeling, and simulation of power elec tronic converters, including multilevel and matrix topologies, and signal processing with the use of advanced DSP and FPGA devices. He is a member of the Research and Development team of LINTE ∧ 2 Laboratory, Gdansk University of Technology. open in new tab
 TOMASZ BAJDECKI received the M.S. degree in electrical engineering from the Czestochowa University of Technology, Poland, in 1992, and the Ph.D. degree from the Gdansk University of Technology, in 2003. He is currently a Research Staff Member with the Institute of Power Engi neering, Gdansk. His main current interest is in the area of control of the highpower converters. His Ph.D. Dissertation was on Control Strategy for the Matrix Converter. open in new tab
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