Q2.1

.docx

School

University of Colorado, Boulder**We aren't endorsed by this school

Course

ECEN 5807

Subject

Electrical Engineering

Date

Dec 19, 2024

Pages

Uploaded by ConstableRamMaster5771

1.Question 1The figure below shows the waveforms and the expression that summarizes the more accurate large-signal averaged model for the inductor current in a peak current-mode controlled converter. Note that �′=1−�d′=1−d.In this Practice Quiz, expressions should be entered in terms of the command current i_c, the slopes m_a, m_1, m_2, and duty ratio d, and period T_s, not necessarily including all ofthese quantities. Question 1: Based on the waveforms shown, enter the expression for the peak value ipof the inductor current in terms of ic, ma, dand Ts.Enter your expression for ipin terms of i_c, m_a, d, and T_si_c-m_a*d*T_s2.Question 2Based on the waveforms shown, enter the expression for the current i1in the middle of the dTsinterval in terms of ic, ma, 1m1, dand Ts. Enter your expression for i1in terms of i_c, m_a, m_1, d, and T_s.i_c-d*T_s*(m_a+m_1/2)

3.Question 3Based on the waveforms shown, enter the expression for the current i2in the middle of the d′Tsinterval in terms of ic, ma, m2, dand Ts. Enter your expression for i2in terms of i_c, m_a, m_2, d, and T_s.i_c-T_s*((1-d)*m_2/2+m_a*d)4.Question 4Suppose that the inductance is very large so that m1≈0, m2≈0. Enter the expression for the average inductor current ⟨iL⟩in terms of ic, ma, dand Ts. Enter your expression in terms of i_c, m_a, d, and T_s.i_c-m_a*d*T_sCorrectIf the slopes are very small, the peak and the average values of the inductor current are thesame. 5.Question 5Suppose that the inductance is very large so that 0m1≈0, m2≈0. and that no artificial ramp is added to the CPM modulator, ma=0. Enter the expression for the average inductorcurrent ⟨iL⟩in terms of ic.Enter the expression in terms of i_c. i_cCorrectNote that this expression is equivalent to the simple model discussed in Week 1 of the course.