ECE6331- Assignment 1
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ECE6331- Assignment 1
Q1) In the following DC-DC converter (called interleaved boost or multi-phase boost converter), assume that all components of the same type are identical and ideal. Both MOSFETs are switched with a switching frequency of fs and duty cycle of D (the gating pulses are 180 degrees shifted, i.e., Ts/2 shifted).
(a) Analyze the circuit, calculate all DC and ripple components of the inductor currents, input current, output voltage and capacitor voltage and draw the current and voltage waveforms of all components in steady state.
(b) Extend the results for the case the converter topology is extended to N modules. The converter topology in the figure has two modules, each module is a boost converter. An N-module converter will have N identical boost stages connected together similar to the figure. The gating signals of the N modules will be phase shifted by Ts/N.
(c) What is the advantage of using this topology, compared to the standard boost converter?
Q2) Consider the dc-dc converter shown in the following figure. Assume that the MOSFET and diode are ideal.
Vg = 12 V, L1 = 15 μH, L2 = 10 μH, fs = 1⁄Ts = 500 kHz, R = 2 Ω
a) Using the standard method, find the steady-state dc converter ratio M(D) =
V2
b) Find the average value of iL1 and iL2 for V2 = 5 V, as well as the peak ripple current ΔiL1 and ΔiL2 . Sketch iL1 , iL2 and iD on the axis provided below.
c) Size C1 and C2 such that their voltage ripple components do not exceed 2%.
d) Find the maximum value of R to maintain continuous conduction mode (CCM).
e) Verify your findings in part (c) by simulation of the converter in the Matlab/Simulink software. Provide converter waveforms for 3 cycles in steady-state to support your findings in part (c).
2023-01-17