Problem 1 (25 points): The dc-dc converter shown below inter…
Problem 1 (25 points): The dc-dc converter shown below interfaces a PV array (modeled as an ideal voltage source) to a resistive load of 50 ohms. The turns-ratio of the transformer is 1:1.2. The transformer primary voltage waveform is given below, using which all the operating conditions can be determined. (a) Calculate the power drawn from the PV array (b) Calculate the input voltage, Vin (c) Calculate the peak-peak ripple in the inductor current (d) Draw the following four waveforms in steady state over 10 us where is the voltage across the input inductor.
Read DetailsProblem 3 (25 points): The dc link voltage of a two-pole dc-…
Problem 3 (25 points): The dc link voltage of a two-pole dc-ac, 4 kW single phase PV inverter is 400 V. The inverter with a single L filter with L = 2 mH is connected to a single-phase grid at 240 V RMS and 60 Hz. The switching frequency is 20 kHz. The resistance of the filter inductor may be neglected. (a) Corresponding to the above value of L and the given dc link and grid voltages, design a proportional-resonant (PR) controller with a bandwidth of 1 kHz. Show the block diagram of the current loop and all the steps. (b) Calculate the THD in the line current corresponding to the given parameters. You may assume the modulation index ma to be the ratio of the peak grid voltage to the dc link voltage.
Read DetailsSuppose there are two rectangular pools: one is 30 feet wide…
Suppose there are two rectangular pools: one is 30 feet wide, 40 feet long, and 3 feet deep throughout, the other is 20 feet wide, 40 feet long, and 5 feet deep throughout. Compare the sizes of the pools in two meaningful ways other than by comparing one-dimensional aspects.
Read DetailsAnswer both of the following parts: a) You asked your studen…
Answer both of the following parts: a) You asked your students to solve the equation 7 x + 5 – 2 x = 2 + 4 x + x using the standard algebraic process. After working for a while the students said your problem was wrong. What is the solution to this equation and why might students say that something is wrong with the problem? b) You also asked your students to solve the equation 5 x + 6 + 4 x + 4 = 2 + 9 x + 8 using the standard algebraic process. After working for a while they were confused about how to answer. What is the solution to this equation and why might students be confused about how to answer?
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