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Buck converter state space model

03/10/2021 Client: muhammad11 Deadline: 2 Day

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.

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