Q1.3
.docx
School
University of Colorado, Boulder**We aren't endorsed by this school
Course
ECEN 5807
Subject
Electrical Engineering
Date
Dec 19, 2024
Pages
2
Uploaded by ConstableRamMaster5771
1.Question 1For an ideal Buck converter write an expression for the slope M2of the inductor current during the time when the rectifier switch is on. The expression for M2should be in terms of the input voltage Vg, the output voltage Vout, and inductance L, not necessarily including all of these quantities. Note that by convention the reference polarity is chosen so that M2>0. Enter your expression for M2in terms of V_g, V_out, L, not necessarily including all of these quantities. V_out/LCorrectWhen the rectifier is on, the voltage across the inductor equals −Vout, assuming reference + for vLis at the switched node voltage. By convention, however, the reference polarity of the voltage producing the inductor current slope M2is selected so that M2>0. 2.Question 2For an ideal Boost converter, write an expression for the slope M2of the inductor current during the time when the rectifier switch is on. The expression for M2should be in terms of the input voltage Vg, the output voltage Vout, and inductance L, not necessarily including all of these quantities. Note that by convention the reference polarity is chosen so that M2>0. Enter your expression for M2in terms of V_g, V_out, L, not necessarily including all of these quantities. (V_out-V_g)/LCorrectVout−Vgis the positive voltage applied across the inductor during the time when the rectifier switch is on in the Boost converter.3.Question 3For an ideal Buck-Boost converter, write an expression for the slope M2of the inductorcurrent during the time when the rectifier switch is on. The expression for M2should bein terms of the input voltage Vg, the output voltage Vout, and inductance L, not necessarily including all of these quantities. Note that by convention the reference polarity is chosen so that M2>0. In the Buck-Boost converter, the output voltage reference polarity is chosen so that Vout<0. Enter your expression for �2M2in terms of V_g, V_out, L, not necessarily including all of these quantities. -V_out/L
CorrectIn the Buck-Boost converter, the output voltage reference polarity is chosen so that Vout<0. The positive voltage applied across the inductor during the time when the rectifier switch is on is −Vout4.Question 4A peak current-mode controlled dc-dc converter operates in continuous conduction mode atduty ratio D=0.75.. The inductor slope during the 1−Dinterval is M2>0. The controller includes slope compensation with the slope of the artificial ramp equal to Ma. Calculate theminimumvalue of the \ratio (M_a/M_2\) necessary to avoid period-doubling instability.0.33CorrectAt the stability bouldary: