A buck converter delivers 5V into a 1 Ω load, with a 12 V battery supply. Voltage ripple in the converter output is negligible. The switching period is 24 μs.
(a) Draw a circuit diagram, showing the supply voltage, all converter components, and the load.
(b) Assuming ideal components, and continuous mode operation, find the switch duty-cycle.
(c) Assuming ideal components, find the converter inductance for a 20% current ripple.
(d) It is later determined that the converter inductance (same as in part c) has a winding resistance of 0.2 Ω. What value switch duty-cycle is required to maintain the output at 5 V?
(e) In addition to the inductor winding resistance, it is determined that the battery can be modeled as an ideal 12 V source with source resistance of 0.4 Ω
(i) What value switch duty cycle is required to maintain the output at 5 V?
(ii) What is the power drawn from the ideal 12 V source of the battery?
(iii) What power is converted into heat in the battery?
(iv) What is the power loss in the converter?
(v) What is the power delivered by the converter to the load?