Question

A buck-boost converter has an input voltage V_in= 10 V, switching frequency fs= 100 kHz, duty...

A buck-boost converter has an input voltage V_in= 10 V, switching frequency fs= 100 kHz, duty ratio d= 30%, load resistance R_L= 20Ω, inductance =100 μH, and

capacitance= 680 μF.

1) Calculate the following values, and include units in your answers:

a) Average output voltage,V_o

b) Average output current,I_o

c) Average input current,I_in

d) Average current through the inductor in steady-state

e) Peak-to-peak current ripple through the inductor, Δ_iL

f) Average inductor current that will cause the converter to enter DCM

g) Load resistance that will cause the converter to enter DCM (R_crit)

h) Average voltage across the inductor insteady-state

i) Average current through the MOSFET in steady-state

j) Average current through the diode in steady-state

k) Average voltage across the capacitor in steady-state

l) Average current into the capacitor in steady-state

2) Sketch the following waveforms, and include the theoretical maximum and minimum values of each waveform:

a) q(t)

b) v_DS

c) v_diode

d) v_L

e) i_L

f) i_diode

g) i_C

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