Question

3. For the non-ideal buck converter in Fig. 3, 1) Derive the state space model with state variable vector X as (it, vc), input variable vector U as (vi, io), output variable vector Y as vo. Derive the coefficient matrices in the model below. Note that duty cycle should be considered and included. dt ) di di dt 2)Select the line of a L, ie., a L-4-i, +A2Mz + Bı'y4B12%.and use perturbation-and- dt linearization approach to derive its small-signal representation. Note that the derived matrix coefficie in 1) should be used here. rc Fig. 3. Non-ideal buck converter.

Answer 1

I-d o 0-0) clt

Page No!-4 dk ce 2