(b) Using (he averaged switch model derived in pari (a), find an expression for Ihe quiescent outpul voltage 1/as a function of V, Given = 10 V, find the numerical values for V, Ij, anJ Ihe July cycle D. For this quiescent operating point, sltelch the vjaveforras i(t). lj(f}, anJ vft) during one svfilching period.

(c) Perturb anJ linearise the averaged switch moJel from pari (a) lo derive a small-signal averaged switch model for Ihe buck switch network with one-cycle control. Find analytical expressions for all partimeter values in terms ofthe ct>nverter parameters and the quiescent operating ct>ndi-lions. Sketch the complele small-signal model of the buck converter with the one-cycle controller.

(d) Solve the miMlei obtained in part (c) lo finJ the conlrol-lo-outpul transfer function Gis) = vlv, and the line-to-output transfer function f f(i) = v/f. For the quiescent operaiing point founJ in part (b), slcelch the magnitude Bude plots of these transfer functions, and label all salient features.

(e) Comment on aJvantages one-cycle control may have compareJ lo Juty-cycle control.

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Part III

Magnetics