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Voltage and current spectra for matrix power converters

Cox, Stephen M.; Creagh, Stephen C.


Stephen M. Cox

Stephen C. Creagh


Matrix power converters are used for transforming one alternating-current power supply to another, with different peak voltage and frequency. There are three input lines, with sinusoidally varying voltages which are 120? out of phase one from another, and the output is to be delivered as a similar three-phase supply. The matrix converter switches rapidly, to connect each output line in sequence to each of the input lines in an attempt to synthesize the prescribed output voltages. The switching is carried out at high frequency and it is of practical importance to know
the frequency spectra of the output voltages and of the input and output currents. We determine in this paper these spectra using a new method, which has significant advantages over the prior default method (a multiple Fourier series technique), leading to a considerably more direct calculation. In particular, the determination of the input current spectrum is feasible here, whereas it would be a significantly more daunting procedure using the prior method instead.


Cox, S. M., & Creagh, S. C. (2009). Voltage and current spectra for matrix power converters. SIAM Journal on Applied Mathematics, 69(5),

Journal Article Type Article
Publication Date Jan 1, 2009
Deposit Date Mar 26, 2010
Publicly Available Date Mar 26, 2010
Journal Siam Journal on Applied Mathematics
Print ISSN 0036-1399
Electronic ISSN 1415-1437
Publisher Society for Industrial and Applied Mathematics
Peer Reviewed Peer Reviewed
Volume 69
Issue 5
Keywords matrix power converter, power electronics, Fourier spectrum
Public URL
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