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
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
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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
Transcribed Image Text:In a Buck de-de converter, that is operating in de steady state under the following conditions:
P. (W)
V. (V)
150
(V)
42
Switching frequency Duty-ratio
f (kHz)
400
D
0.3
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,=amin
(1-Dmax), where Dmax = Vo/Vinmin -)
24min/s
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-PC neglecting capacitor's ESR)
راه
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Step 1: Summarize the given information.
VIEWStep 2: Determining the output voltage, maximum duty ratio, minimum input voltage and minimum output power.
VIEWStep 3: Determining the average inductor current.
VIEWStep 4: Determining the minimum inductance value.
VIEWStep 5: Determination of the peak-to-peak ripple inductor current.
VIEWStep 6: Determination of the capacitance.
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