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

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Electrical Engineering

A buck-boost converter has an input voltage V_in= 10 V,switching frequency fs= 100 kHz, duty ratio d= 30%, load resistanceR_L= 20Î©, inductance =100 Î¼H, and
capacitance= 680 Î¼F.
1) Calculate the following values, and include units in youranswers:
a) Peak-to-peak current ripple through the inductor, Î”_iL
b) Average inductor current that will cause the converter toenter DCM
b) Load resistance that will cause the converter to enter DCM(R_crit)
d) Average voltage across the inductor insteady-state

Answer & Explanation Solved by verified expert

4.4 Ratings (977 Votes)

For the discontinuous mode we can fairly easily equate the input energy to the output power and come up with a value for the output voltage or the duty cycle but it will be different than for the continuous mode For example the input current peak is diVindtL where dt is the on time We also know that the energy in an inductor is Uini2L2 Substituting di in for i and computing over the full period we get UinFVindtL2L2 Replacing F with 1T where T is the total period we See Answer

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