3. Generic expression of the solutions of the linear model of the converter system – modulation

3.1 All solutions

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3.1.1 Notion of solution

When a linear system is expressed in the form AX = B, where A is a matrix of dimension (n x m), B a matrix of dimension (n x p) and X an unknown matrix of dimension (m x p), it has none, one or infinitely many solutions. The Kronecker-Capelli criterion indicates that this system is compatible, i.e. it admits at least one solution, i.e. a matrix X that verifies exactly the relation AX = B, if :

rang (A) = rang ([

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Generic expression of the solutions of the linear model of the converter system – modulation

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Bibliography

(1) - ABU-RUB (H.), HOLTZ (J.), RODRIGUEZ (J.), BAOMING (G.) - Medium-Voltage Multilevel Converters – State of the Art, Challenges, and Requirements in Industrial Applications. - IEEE Transactions on industrial electronics, Vol. 57, n° 8 (2010).
(2) - ROTELLA (F.),...