Off-Ramp Recovery Boundary Three-Row Scan - Electronic Circuits XIII & XIV: Power Supplies and Switching Energy Step by Step

Off-time recovery lets negative voltage ramp the inductor current down, so the same starting current can fail, touch, or clear the target depending on the interval. Starting from 6 A under -3 V, the 3, 4, and 5 s rows end at 3, 2, and 1 A against a 2 A target exactly for the ideal off-ramp model; real recovery adds diode and switch drops, winding resistance, saturation, core loss, delay, ripple, heating, and current/time measurement uncertainty.

Off-time decides whether final current recovers below a target. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

3 s recovery row

Start current stays 6 A under negative 3 V for 3 s. Final current is 3 A and target is at most 2 A, so margin is negative 1 A.

I_f=3\ \text{A},\quad m=-1\ \text{A}\Rightarrow\text{fail}

4 s recovery row

Start current stays 6 A under negative 3 V for 4 s. Final current is 2 A and target is at most 2 A, so margin is 0 A.

I_f=2\ \text{A},\quad m=0\ \text{A}\Rightarrow\text{pass}

5 s recovery row

Start current stays 6 A under negative 3 V for 5 s. Final current is 1 A and target is at most 2 A, so margin is 1 A.

I_f=1\ \text{A},\quad m=1\ \text{A}\Rightarrow\text{pass}