A Buck converter is charging a battery, with the following specifications:  (Consider ideal switch and ideal diode) a)  Vin = 25 V, Vb = 8 V, RL=20 Ω,  b)  fs= 100kHz (switching frequency), d=0.4 (duty ratio) c) Peak to peak inductor current ripple is 10% of the output current. d) Output voltage ripple across capacitor is 5% of the output voltage. What is the minimum inductor value L from the below Circuit in

A Buck converter is charging a battery, with the following specifications:  (Consider ideal switch and ideal diode) a)  Vin = 25 V, Vb = 8 V, RL=20 Ω,  b)  fs= 100kHz (switching frequency), d=0.4 (duty ratio) c) Peak to peak inductor current ripple is 10% of the output current. d) Output voltage ripple across capacitor is 5% of the output voltage. What is the Capacitor C from the below Circuit in

A Buck converter is charging a battery, with the following specifications:  (Consider ideal switch and ideal diode) a)  Vin = 25 V, Vb = 8 V, RL=20 Ω,  b)  fs= 100kHz (switching frequency), d=0.4 (duty ratio) c) Peak to peak inductor current ripple is 10% of the output current. d) Output voltage ripple across capacitor is 5% of the output voltage. Find out the average current flowing through the diode D1 --------------mA

A boost converter has the following specifications: Vin = 36 V, Vo= constant = 108 V, Fs = 51 kHz, and the output power may vary with a range of Po(range) = 107 W to 200 W. Assuming that the converter is ideal, calculate: a) the smallest value of the inductor, L, in order to have continuous current b) the value of the output filter capacitor, C, so that the output voltage ripple to be lower than 0.5 V. Use the inductance you calculated in part (a)

To solve this problem, we need to determine the value of the filter inductance \( L \) for a Buck converter that will ensure continuous conduction mode (CCM) at one-third of the maximum output power. Given: - Input voltage, \( V_{in} = 20 \, \text{V} \) - Output voltage, \( V_o = 12 \, \text{V} \) - Maximum output power, \( P_o = 72 \, \text{W} \) - Switching frequency, \( f_s = 400 \, \text{kHz} \) First, calculate the maximum output current \( I_o \): \[ I_o = \frac{P_o}{V_o} = \frac{72 \, \text{W}}{12 \, \text{V}} = 6 \, \text{A} \] At one-third of the maximum output power, the output current \( I_{o, \text{min}} \) is: \[ I_{o, \text{min}} = \frac{I_o}{3} = \frac{6 \, \text{A}}{3} = 2 \, \text{A} \] The duty cycle \( D \) for the Buck converter is given by: \[ D = \frac{V_o}{V_{in}} = \frac{12 \, \text{V}}{20 \, \text{V}} = 0.6 \] The inductor current ripple \( \Delta I_L \) is given by: \[ \Delta I_L = \frac{V_{in} - V_o}{L} \cdot D \cdot \frac{1}{f_s} \] To ensure CCM, the peak-to-peak inductor current ripple \( \Delta I_L \) should be less than twice the minimum output current \( I_{o, \text{min}} \): \[ \Delta I_L \leq 2 \cdot I_{o, \text{min}} \] \[ \Delta I_L \leq 2 \cdot 2 \, \text{A} = 4 \, \text{A} \] Rearranging the inductor current ripple equation to solve for \( L \): \[ L = \frac{(V_{in} - V_o) \cdot D}{\Delta I_L \cdot f_s} \] Substitute the values: \[ L = \frac{(20 \, \text{V} - 12 \, \text{V}) \cdot 0.6}{4 \, \text{A} \cdot 400 \times 10^3 \, \text{Hz}} \] \[ L = \frac{8 \, \text{V} \cdot 0.6}{4 \, \text{A} \cdot 400 \times 10^3 \, \text{Hz}} \] \[ L = \frac{4.8 \, \text{V}}{1.6 \times 10^6 \, \text{A} \cdot \text{Hz}} \] \[ L = 3 \times 10^{-6} \, \text{H} \] \[ L = 3 \, \mu\text{H} \] Therefore, the value of the filter inductance \( L \) should be \( 3 \, \mu\text{H} \) to ensure the converter remains in CCM at one-third of the maximum output power.

In a Buck converter, increasing the switching frequency 5 times decreases the inductor current ripple and output voltage frequency also 5 times.Question 7Select one:TrueFalse