The de converter in Figure 5.2a has a resistive load of R = 100 and the input voltage is V, = 220 V. When the converter switch remains on, its voltage drop is vh = 2V and the chop- ping frequency is ƒ = 1kHz. If the duty cycle is 50%, determine (a) the average output voltage Va (b) the rms output voltage Vo, (c) the converter efficiency, (d) the effective input resistance R¡ of the converter, (e) the ripple factor of the output voltage RF, and (f) the rms value of the fundamental component of output harmonic voltage. %3D

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ple 5.1 Finding the Performances of a Dc-Dc Converter
The de converter in Figure 5.2a has a resistive load of R = 100 and the input voltage is
V, = 220 V. When the converter switch remains on, its voltage drop is vah = 2V and the chop-
ping frequency is f = 1kHz. If the duty cycle is 50%, determine (a) the average output voltage
Va, (b) the rms output voltage V,, (c) the converter efficiency, (d) the effective input resistance
Rị of the converter, (e) the ripple factor of the output voltage RF, and (f) the rms value of the
fundamental component of output harmonic voltage.
VH
V
Converter
I-0
+
SW
V.
V,
R
R
(a) Circuit
kT
(b) Waveforms
50
45
40
35
30
R,(k) 25
20
15
10
5
10
20
30
40
50
60
70
80
90
100
k
Duty cycle, %
(c) Effective input resistance against duty cycle
FIGURE 5.2
Step-down converter with resistive load.
Normalized effective input resistance
Transcribed Image Text:ple 5.1 Finding the Performances of a Dc-Dc Converter The de converter in Figure 5.2a has a resistive load of R = 100 and the input voltage is V, = 220 V. When the converter switch remains on, its voltage drop is vah = 2V and the chop- ping frequency is f = 1kHz. If the duty cycle is 50%, determine (a) the average output voltage Va, (b) the rms output voltage V,, (c) the converter efficiency, (d) the effective input resistance Rị of the converter, (e) the ripple factor of the output voltage RF, and (f) the rms value of the fundamental component of output harmonic voltage. VH V Converter I-0 + SW V. V, R R (a) Circuit kT (b) Waveforms 50 45 40 35 30 R,(k) 25 20 15 10 5 10 20 30 40 50 60 70 80 90 100 k Duty cycle, % (c) Effective input resistance against duty cycle FIGURE 5.2 Step-down converter with resistive load. Normalized effective input resistance
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