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need simulation in Matlab/simulink


https://learn-us-east-1-prod-fleet01-xythos.content.blackboardcdn.com/blackboard.learn.xythos.prod/5849b9bae4172/25392691?X-Blackboard-Expiration=1648501200000&X-Blackboard-Signature=iMuDOqkq38AKneJIOzvklSHFfpT6pCWqZRVJeSGgQwM%3D&X-Blackboard-Client-Id=301824&response-cache-control=private%2C%20max-age%3D21600&response-content-disposition=inline%3B%20filename%2A%3DUTF-8%27%27ECE3211_S22_Simulation_Assignment.pdf&response-content-type=application%2Fpdf&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEDkaCXVzLWVhc3QtMSJHMEUCIQC3p7MXow5O1pP5femMZsi4lMzSifaN9NPpD7B0bAP6RgIgL2WC0esKRfufFjYZXQLkQdsAFhmx3FyQwUYOOh4%2BJA8qgwQIwv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAAGgw1NTY5MDM4NjEzNjEiDJxPed1C9vzCWcOV4irXAzEMwq%2Bok1mWvi3wZSATu7k5auo59tkwDqxQNRry7EZ8RQmSMAeYch%2BdVOE7NyvKC0ynK2Vi3QNCEQ8iRfEdz3FZBv3%2FCJEze3mrqRZF%2FUAexBmiNesqn9thmRSjG6L0%2Fha3Tcqsw1GBB6Hd8jyWf1E8MqkP4xo%2BragLFVDR1PSUDNA4F8OdgLdKb9fMNPcqkfUCRIXurJNcYPDhl0Dw%2B%2F2TNdrtfsewnXsEe2Z4nidxKgsUsB28M3xi%2B6tcmWP%2FIY9W3%2BdU1Br3PuXRswS9c0%2BGhN7Z0GsvWrQKKn7Hw8PI7YmoQwCJwL89u2RITPEcChwkKUtEWo5LfIJAA0D25TcZVrGkHB64H31b4gQaCm6a3PlE3X1B9wlxrGETcfGiJ7rwkX1pdk3Re7jBb0%2BkJZrnpQ79LpmtdHrVRPk%2FKGSFhSNk44%2BlDYceexIaBEE%2FNy%2F9m5W42xNBcWPwpwOGv84hJS1iDCGwCO24Y0bw2OyKvx11vb2wYhmeohbyV8WHZNLkgO4TnPzqVVkXhW5r7ks4R3E3X8AmGvU0h%2FRPU%2B6DFkfrulOpIGFbqvPt2m7rffWASE68gGgyO6p0JVhlm9HQYZeGlBhDFXfl%2BXT5TV%2Fs791EgrP41DDHz4eSBjqlAY2XCyKCwrqNWuBkEcvYR8mBM8hJU5RmkoYQtpIqLSoIX2Pv%2Byxb2TmZNL9zK2nVC97LBPNH7kytiGMlbrHewtIU5WSUuVv7cdaR9VBwHiVBWwym9zsclwRx%2FXzKSdezDD82ME0TYTzixtVFyiBtaUF0P%2FK2ZStJvhjUY479vX1ZLfWrtgvB3x11tMx%2BPvWh%2FH%2FZ0ljIMgNu1BRv2B%2B2th0V7Pl%2F%2FA%3D%3D&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Date=20220328T150000Z&X-Amz-SignedHeaders=host&X-Amz-Expires=21600&X-Amz-Credential=ASIAYDKQORRYQNXMMVNZ%2F20220328%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Signature=bb711ffbb9f1aa1ca0990ea8836af4424bf880aabc3ef2b6a4afeff6f85c72b0 ECE3211 Power Electronics TAKE HOME EXAM: BUCK CONVERTER DESIGN Due date: 11:59 p.m. on March 27, 2022 Design the feedback circuit for a buck converter with the following component values: , , , , , , , , RL=5 , where, rL is the series resistance of the inductor, rC is an equivalent series resistance of the capacitor. The design specifications are: - Loop-gain cross-over frequency: , - Phase margin: , - Gain margin: Design the feedback circuit by finding the values of poles, zeros, and the gain of the compensator Gc, and the gain of the sensor, H. Verify your results through simulations using state space average models of the buck converter for small signal analysis. The report should contain the following: a) Derive the mathematical model of the control-to-output voltage transfer function b) Outline of your analog controller design and all calculated component values. c) Show a circuit diagram using Matlab/Simulink d) Design a compensator and plot three transfer functions using Matlab/Simulink ac sweep, with X-axis from 10Hz to 100kHz: o Duty-cycle to output voltage transfer function: o Loop gain transfer function with Gc(s)=1: o Loop gain transfer function with your designed Gc(s): (Mark the crossover frequency, gain margin and phase margin) e) Closed-loop transient plots of io(t) and vo(t) when RL steps from 10 to 5 and back. f) Calculate Rs and Cs for implementing analog controller g) Discuss about control design and its performance All plots must have sufficient X- and Y-axis resolutions and white color background to clearly see necessary details.