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1. Buck Converter The averaged circuit model of an ideal buck converter is shown in Figure Q1. The buck converter has L = 75 μH, C = 330 μF, rc = 30 m2, input voltage, vg = 12 V, output voltage, V = 18 V, load resistance, R = 6, and switching frequency fs = 100 kHz. The circuit operates in continuous conduction mode. (i) (ii) (iii) -(s). + + ao t Vo Vd + śc du sc U₂ 62 dl2 SL mo R Figure Q1 By doing perturbation and linearization on the averaged circuit model, obtain AC small-signal model and DC steady-state model. Analyze DC steady-state model to determine all bias point constants. Analyze AC small signal model to obtain control to output transfer function, d (iv) Using LTSPICE to verify the small-signal model. You can do it by comparing the bode plot of control-to-output transfer function based on the small-signal model vs the small-signal PWM switch model. Obtain the gain and phase of (s) at the frequency of 16 kHz using manual 위 calculation and compare with the simulation.