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Prоblem 1. (25 pts) (а) Fоr the H-bridge cоnverter presented below, аnd аssuming the desired waveforms for load voltage () and current (), also shown below, determine the gating signals , , , and and their respective PWM waveforms (i.e,. reference signals) such that the conduction losses are evenly distributed among the power switches. Justify your answer. (b) For the converter shown above and considering that the waveforms below correspond to the load voltage (Channel B) and load current (Channel A), determine the waveform associated with Channel A on the oscilloscope displayed on the right. Justify your answer. (c) Consider a single-phase diode rectifier with a DC-link capacitor supplying an H-bridge inverter that feeds a purely resistive AC load. Due to repeated thermal cycling, the electrolytic DC-link capacitor has failed, and the capacitor acts as an open circuit. The load voltage (Channel B) and load current (Channel B) waveforms are shown below. Draw the corresponding single-phase grid voltage waveform and the switching signals. Explain your answer. Problem 2. (25 pts) (a) Considering the gate-driver with the pulse transformer presented below, determine the voltage of the capacitor connected to the primary of the pulse transformer if the microcontroller has a constant duty cycle of 1/3. Assuming the following: . (b) You are designing a single-phase half-bridge 3-level NPC topology, and you are planning to connect the gate-driver with the pulse transformer as presented in Problem 2(a) for each switch of the converter. If the total dc-link voltage is 400 V, determine the maximum voltage for the capacitor connected to the primary of the driver knowing that the peak of the AC load current is equal to 25 A. The load current operates at 50 Hz. This converter is feeding an load with and . Problem 3. (25 pts) Consider the FC converter presented below feeding an RL load such that the AC current fundamental frequency is 60 Hz, the converter operates with switching frequency of 10 kHz. (a) Use the concept of Table of Variables and equivalent circuits to obtain an equation for the flying capacitor current (). (b) Determine the average value of . Problem 4. (25 pts) Write equations for the load phase voltages for the converters below, all the voltages should be written exclusively as a function of the state of the switches and dc-link voltages. Congratulations, you are almost done with Exam 1. DO NOT end the Honorlock session until you have submitted your work to Brightspace. When you have answered all questions: Use your smartphone or scanner to scan your answer sheet, and save the scan as a PDF. Make sure your scan is clear and legible. Submit your PDF as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.). Submit your exam to this assignment: Exam 1 Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam. End the Honorlock session.