Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45

Space Vector Modulation (SVM)

A sophisticated modulation technique for three-phase inverters that synthesizes the desired output voltage vector V⃗out\vec{V}_{out} by calculating the optimal switching times for the inverter legs, maximizing DC bus utilization.
📜

The statement of the theorem

Define the desired output voltage vector V⃗ref=(Vrefα,Vrefβ)\vec{V}_{ref} = (V_{ref\alpha}, V_{ref\beta}) in the α−β\alpha-\beta plane. The modulation index μ\mu and the maximum achievable voltage magnitude Vmax=Vdc/3V_{max} = V_{dc}/\sqrt{3} determine the reference vector: V⃗ref=μVmax(cos⁡(ωt+ϕ)sin⁡(ωt+ϕ)) \vec{V}_{ref} = \mu V_{max} \begin{pmatrix} \cos(\omega t + \phi) \\ \sin(\omega t + \phi) \end{pmatrix} The optimal switching times are found by mapping V⃗ref\vec{V}_{ref} to the nearest achievable space vector V⃗sv\vec{V}_{sv} such that V⃗sv≈V⃗ref\vec{V}_{sv} \approx \vec{V}_{ref}.