Generic expression of the solutions of the linear model of the converter system – modulation
Pulse width modulation strategy for power converters
Article REF: E3969 V1
Generic expression of the solutions of the linear model of the converter system – modulation
Pulse width modulation strategy for power converters

Authors : Paul-Étienne VIDAL, Baptiste TRAJIN, Frédéric ROTELLA

Publication date: December 10, 2019 | Lire en français

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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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