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ECE XXXXXXXXXXPower Electronics
TAKE HOME EXAM: BUCK CONVERTER DESIGN
Due date: 11:59 p.m. on March 27, 2022
Design the feedback circuit for a buck converter with the following component values:
, , , , ,
, , , RL=5 ,
where, rL is the series resistance of the inductor, rC is an equivalent series resistance of the
capacitor.
The design specifications are:
- Loop-gain cross-over frequency: ,
- Phase margin: ,
- Gain margin:
Design the feedback circuit by finding the values of poles, zeros, and the gain of the
compensator Gc, and the gain of the sensor, H. Verify your results through simulations
using state space average models of the buck converter for small signal analysis.
The report should contain the following:
a) Derive the mathematical model of the control-to-output voltage transfer function
) Outline of your analog controller design and all calculated component values.
c) Show a circuit diagram using Matla
Simulink
d) Design a compensator and plot three transfer functions using Matla
Simulink ac
sweep, with X-axis from 10Hz to 100kHz:
o Duty-cycle to output voltage transfer function:
o Loop gain transfer function with Gc(s)=1:
o Loop gain transfer function with your designed Gc(s):
(Mark the crossover frequency, gain margin and phase margin)
e) Closed-loop transient plots of io(t) and vo(t) when RL steps from 10 to 5 and
ack.
f) Calculate Rs and Cs for implementing analog controller
g) Discuss about control design and its performance
All plots must have sufficient X- and Y-axis resolutions and white color background to
clearly see necessary details.