### Indirect 3D-Space Vector Modulation for Matrix Converter

#### Abstract

This paper discusses the indirect space vector modulation for four-leg matrix converter. Four-leg matrix converter has been proven to be a reliable, cost-effective, and compact power electronic interface to supply unbalanced or nonlinear loads. However, the added fourth leg has shifted the inverter side modulation from simple two-dimension SVM into complex three-dimension. This paper employs a new technique to implement indirect 3D SVM in digital controllers with further simplification in the modulation process. Moreover, Simulink simulation using repetitive controller has been performed to regulate the output voltage for 400 Hz Power supplies.

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P. Zanchetta, J. C. Clare, P. W. Wheeler, D. Katsis, M. Bland, L. Empringham, “Control Design of a three-phase matrix converter mobile AC power supply using genetic algorithms”, IEEE 36th Power Electronics Specialists Conference, Recife, Brazil, pp. 2370-2375, June 16, 2005

C. Klumpner, F. Blaabjerg, P. Nielsen, “Speeding-up the maturation process of the matrix converter technology”, 32nd IEEE Power Electronics Specialist Conference PESC, Vancouver, Canada, Vol. 2, pp. 1083–1088, June 17-21, 2001

D. Casadei, G. Serra, A. Tani, “The use of matrix converters in direct torque control of induction machines”, IEEE Transactions on Industrial Electronics, Vol. 48, No. 6, pp. 1057–1064, 2001

F. Yue, P. W. Wheeler, N. Mason, L. Empringham, J. C. Clare, “Indirect space vector modulation for a 4-leg matrix converter”, IEEE Power Electronics Conference, PESC 2007, Orlando, USA, June 17-21, 2007

R. Zhang, High performance power converter system for nonlinear and unbalanced load/source, PhD Thesis, Virginia Polytechnic Institute and State University, 1998

R. Cárdenasa, R. Penab, J. Clare, P. Wheeler, P. Zanchetta, “A repetitive control system for four-leg matrix converters feeding non-linear loads”, Electric Power Systems Research, Vol. 104, pp. 18-27, 2013

T. Friedli, J. W. Kolar, J. Rodriguez, P. W. Wheeler, “Comparative evaluation of three-phase AC–AC matrix converter and voltage DC-link back-to-back converter systems”, IEEE Transactions on Industrial Electronics, Vol. 59, No. 12, pp. 4487–4510, 2012

V. H. Prasad, D. Boroyevich, R. Zhang, “Analysis and comparison of space vector modulation schemes for a four-leg voltage source inverter”, 12th Annual Applied Power Electronics Conference and Exposition (APEC), Atlanta, USA, Vol. 2, pp. 864-871, February 27, 1997

R. Zhang, V. H. Prasad, D. Boroyevich, F. C. Lee, “Three-dimensional space vector modulation for four-leg voltage- source converters”, IEEE Transanctions on Power Electronics, Vol. 17, No. 3, pp. 314-326, 2002

R. Zhang, D Boroyevich, V. H. Prasad, H. C. Mao, F. C. Lee, S. Dubovsky, “A three-phase inverter with a neutral leg with space vector modulation”, 12th Annual Applied Power Electronics Conference and Exposition, Atlanta, USA, Vol. 2, pp. 857-863, February 27, 1997

L. Empringham, P. W. Wheeler, J. C. Clare, “Intelligent commutation of matrix converter bi-directional switch cells using novel gate drive techniques”, 29th Annual IEEE Power Electronics Specialists Conference, Vol. 1, pp. 707-713, May 22, 1998

J. Mahlein, J. Igney, J. Weigold, M. Braun, O. Simon, “Matrix converter commutation strategies with and without explicit input voltage sign measurement”, IEEE Transactions on Industrial Electronics, Vol. 49, No. 2, pp. 407-414, 2002

W. Hofmann, M. Ziegler, “Multi-step commutation and control policies for matrix converters”, Journal of Power Electronics, Vol. 3, No. 1, pp. 24-32, 2003

B. H. Kwon, B. D. Min, J. H. Kim, “Novel commutation technique of AC-AC converters”, IEE Proceedings-Electric Power Applications, Vol. 145, No. 4, pp. 295–300, 1998

P. W. Wheeler, J. Rodriguez, J. C. Clare, L. Empringham, A. Weinstejn, “Matrix converters: a technology review”, IEEE Transactions on Industrial Electronics, Vol. 49, No. 2, pp. 276–288, 2002

E. Ormaetxea, J. Andreu, I. Kortabarria, U. Bidarte, I. Martinez de Alegria, E. Ibarra, E. Olaguenaga, “Matrix converter protection and computational capabilities based on a system on chip design with an FPGA”, IEEE Transactions on Power Electronics, Vol. 26, No. 1, pp. 272–287, 2011

D. Casadei, G. Serra, A. Tani, L. Zarri, “A review on matrix converters”, Przeglad Elektrotechniczny, Vol. 82, No. 2, pp. 15–25, 2006

L. Empringham, P. W. Wheeler, J. C. Clare, “Bi-directional switch current commutation for matrix converter applications”, 8th International Power Electronics & Motion Control Conference, Prague, Czech Republic, pp. 42–47, September 8-10, 1998

M. Ziegler, W. Hofmann, “New one-step commutation strategies in matrix converters”, 4th IEEE International Conference on Power Electronics and Drive Systems, Bali, Indonesia, Vol. 2, pp. 560–564, 2001

M. Ziegler, W. Hofmann, “A new two steps commutation policy for low cost matrix converters”, 41st PCIM/Power Quality Conference, Nürnberg, Germany, pp. 445-450, 2000

M. Ziegler, W. Hofmann, “Semi natural two steps commutation strategy for matrix converters”, 29th Annual IEEE Power Electronics Specialists Conference (PESC’98), Fukuoka, Japan, pp. 727–731, May 22, 1998

D. Casadei, A. Trentin, M. Matteini, M. Calvini, “Matrix converter commutation strategy using both output current and input voltage sign measurement”, European Conference on Power Electronics and Applications (EPE’03), Toulouse, France, pp. P1–P10, 2003

L. Empringham L, L. de Lillo, S. Khwan-On, C. Brunson, P. W. Wheeler, J. C. Clare, “Enabling technologies for matrix converters in aerospace applications”, International Conference Workshop Compatibility and Power Electronics (CPE’2011), Tallinn, Estonia, pp. 451–456, 2011

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