Question

1. A buck converter circuit with the following parameters L = 100 µH, C = 33 µF, R = 10 ?, Vin = "your age in years" V (example: 20 years ? Vin = 20 V), has the frequency response shown below for its transfer function G(s): e(s) ? vc(s). Notice that the input is e(s). Calculate: a. Gain at DC (in linear coordinates). b. Approximate cutoff frequency ?c in [rad/s]. Hint: recall that the cutoff frequency occurs where the gain has dropped -3dB w.r.t. the DC gain c. Attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates. d. Approximate phase-angle introduced to the switching harmonics as observed in vc e. Amplitude in [dB] of the average component of the pulsating injected voltage signal e(t) for a d = 0.5 f. If the switching frequency is reduced to fsw = 10 kHz, what would be now the attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates? Bode Diagram Magnitude (dB) 20 0 -20 -40 -60 -80 Phase (deg) 0 -45 -90 -135 -180 Frequency (kHz) 10^-1 10^0 10^1 10^2

          1. A buck converter circuit with the following parameters L = 100 µH, C = 33 µF, R = 10 ?, Vin = "your age in years" V (example: 20 years ? Vin = 20 V), has the frequency response shown below for its transfer function G(s): e(s) ? vc(s). Notice that the input is e(s). Calculate:
a. Gain at DC (in linear coordinates).
b. Approximate cutoff frequency ?c in [rad/s]. Hint: recall that the cutoff frequency occurs where the gain has dropped -3dB w.r.t. the DC gain
c. Attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates.
d. Approximate phase-angle introduced to the switching harmonics as observed in vc
e. Amplitude in [dB] of the average component of the pulsating injected voltage signal e(t) for a d = 0.5
f. If the switching frequency is reduced to fsw = 10 kHz, what would be now the attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates?
Bode Diagram
Magnitude (dB)
20
0
-20
-40
-60
-80
Phase (deg)
0
-45
-90
-135
-180
Frequency (kHz)
10^-1 10^0 10^1 10^2

1. A buck converter circuit with the following parameters L = 100 µH, C = 33 µF, R = 10 ?, Vin = "your age in years" V (example: 20 years ? Vin = 20 V), has the frequency response shown below for its transfer function G(s): e(s) ? vc(s). Notice that the input is e(s). Calculate:
a. Gain at DC (in linear coordinates).
b. Approximate cutoff frequency ?c in [rad/s]. Hint: recall that the cutoff frequency occurs where the gain has dropped -3dB w.r.t. the DC gain
c. Attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates.
d. Approximate phase-angle introduced to the switching harmonics as observed in vc
e. Amplitude in [dB] of the average component of the pulsating injected voltage signal e(t) for a d = 0.5
f. If the switching frequency is reduced to fsw = 10 kHz, what would be now the attenuation suffered by the 1st component of the switching harmonics in [dB], and in linear coordinates?
Bode Diagram
Magnitude (dB)
20
0
-20
-40
-60
-80
Phase (deg)
0
-45
-90
-135
-180
Frequency (kHz)
10^-1 10^0 10^1 10^2

Added by Noah A.

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