Consider the following pulse width modulation RC circuit. The circuit consists o
ID: 1854033 • Letter: C
Question
Consider the following pulse width modulation RC circuit. The circuit consists of a switch, two resistors and a capacitor. The resistances of these two resistors are 100Ohm. The capacitance of the capacitor is 50 mu F. The corresponding circuit scheme for each topology is shown below: Derive the first order ordinary differential matrix equation for each topology. (Hint: Refer to the figures and show your derivation systematically) Set the switching frequency at 200Hz and the duty cycle at 50%. What are the output ripple voltage and the output ripple current? (Hint: Write the matlab code to simulate the state space equations in part (A). Plot x. Measure the ripple voltage. This is on the output side. So, divide by the output resistance to obtain the ripple current at the output. ) What is the input current and the voltage across the output load and current across the output load? (Hint: input current is the mean of the vector I, while output voltage is the mean of the vector y. Use this value to calculate the output current. ) What is the efficiency of the converter? (Use the values above to calculate the input and output powers to obtain the efficiency)Explanation / Answer
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