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Voltage Source Inverter (VSI) Architecture

A foundational power electronic topology using switching devices (e.g., IGBTs) to synthesize an AC output voltage waveform from a DC link. It is defined by the switching states and the DC bus voltage

V_{dc}

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The statement of the theorem

Let

\mathbf{S} = (s_a, s_b, s_c) \in \{0, 1\}^3

be the switching state vector, where

s_i

is the state of phase

i

. The instantaneous output voltage vector

\vec{V}_{out}(t)

is defined by the linear combination of the DC link voltage

V_{dc}

and the switching states: \vec{V}_{out}(t) = V_{dc} \cdot \begin{pmatrix} s_a - s_b \ s_b - s_c \ s_c - s_a \bigg/ 2 \biggend{pmatrix} where the components are defined relative to the phase voltages

v_{a}, v_{b}, v_{c}