In a Buck de-de converter, that is operating in de steady state under the following conditions: P. (W) V. (V) Duty-ratio D 150 0.3 (V) 42 Switching frequency f, (kHz) 400 Assume ideal components and continuous conduction mode. If the output voltage is kept constant while the input voltage Vin is allowed to vary ±10% from the value in the above table, and the output power Po can vary from 30% to 100% of the value in the above table. Find the minimum value of the inductance that guarantees continuous conduction. (Hint: When output voltage is kept constant, use Pomin condition to determine minimum inductance value to guarantee CCM. At BCM, I₁=1, = min(1-Dmax), where Dmax = Vo/Vinmin) V₂ 24mins 2. Use the inductance of about 115% of the minimum value obtained from Problem 1, find the output capacitance that guarantees peak-to-peak output voltage ripple of less than 1% of the average output voltage (Avop-p ≤ 0.01). (Avop-p=; neglecting capacitor's ESR) B,C

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A buck-boost converter operates with an input battery. It converts +12 V to –12 V at apower level of about 75 W. the switching frequency is 120 kHz. The switches have200 ns switching time. The battery has an internal series resistance of 0.2  and seriesinductance of 200 nH. (a) What is the operating value of the duty ratio? What power is lost in the battery resistance? (b) Propose an interface structure to improve operation and decrease losses. What are the duty ratio and battery         resistance loss with your interface in place?

An ideal boost converter is required to have a constant output voltage of 12 V at 24 W load.The input voltage varies from 2.7 to 4.5 V (as in a battery cell). Select a switching frequency of100 kHz. The value of the inductance in the boost converter is 2.2 uH. Determine:(a) The range of duty cycle that the converter will operate with (hint: mode?), and(b) The minimum value of the output capacitance such that the pk-to-pk load voltage rippleis less than 2%.