objective for this project a buck converter is to be designed that wil

Question

Objective:
For this project, a buck converter is to be designed that will convert 42 V input to an
output voltage based on your group number:
Output voltage: (N+5) volts dc where N is the last digit of your ZID.
The following steps should be accomplished in the design:
A) For this project the controller shown in fig. 3 can be approximated by the equivalent
circuit of fig. 4. Calculate the gain Kp required so that the steady state error of
the system for a step input is less than 1%. Although the system is a nonlinear system
its average behavior for a given operating point can be approximated with a linear
transfer function. See Appendix A for the development of this transfer function.
Assume the triangle wave peak, Vp, has a value of 5 V for your calculations.
V
ref.
V
Vp
Ov
out
Kp
M
Page 3 of 6
To Voltage-
Controlled
Voltage-Source/nB) Calculate values for Lf and Cf in fig. 1 to keep the capacitor voltage ripple less than
0.01v. Calculations should be based on a 50 kHz switching frequency. The rated
output current is to be 2 A. The linearization theory used for the control is based on
assuming the bandwidth of the closed loop system is considerably smaller than the
switching frequency, that is
@ << 2πfs.
The choice of Lf and Cf should therefore ensure the system bandwidth is small
enough. See Appendix A for information on the system bandwidth.
C) Simulate the buck converter using a SPICE based software at rated load current.
Show your design meets the design requirements.
For the report, follow the outline given in Appendix B. The report should just contain a
summary of the method and not a formal report.
References
[1] D. W. Hart, Power Electronics, McGraw Hill, 2010, pp. 302 - 325.
[2] N. Mohan, Power Electronics: A First Course, Wiley, 2023, pp. 99 - 105; Appendix
4B.