Boost Regulators – analysis of switch closed

Mode 1: switch closed

Observe that diode anode (a) is at ground potential and so must be low with respect to the diode cathode (c).

Diode is reversed biased, and the circuit appears as shown to the right.

 

So the rate of change of current is a constant! This means that the current increases linearly while the switch is closed.

Let Δt be the amount of time the switch is closed. Define ΔI as the peak-topeak ripple current.

Recalling switch closing time is t1=kT, we have…

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