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

Switching Frequency ($f_{sw}$)

The rate at which the inverter switches its output voltage. It is a key design parameter, balancing output ripple reduction (higher

f_{sw}

) against switching losses (lower

f_{sw}

f_{sw} = 1/T_{sw}

📜

The statement of the theorem

Define the switching period

T_{sw}

as the inverse of the switching frequency

f_{sw}

T_{sw} = \frac{1}{f_{sw}}

The switching action is modeled by the periodic function

s(t)

with period

T_{sw}

. The total switching losses

P_{sw}

are proportional to

f_{sw}

and the switching energy

E_{sw}

P_{sw} \propto f_{sw} E_{sw}

The design objective is to minimize

P_{sw}

subject to constraints on output ripple

\Delta V_{dc}