Answer the following questions regarding Power Electronics: 1. The converter of

Question

Answer the following questions regarding Power Electronics:

1. The converter of Fig.1 is constructed with the element values shown. The quiescent value of the input voltage is Vg 380 V. The transformer has turns ratio n1/n3 4.5, and V d(t) follows the control voltage vc(t) according to 1 ve(t) d(t) = With VM = 3 V 500 ?? f 150 kHz 7(s) 13 nF 5.6 k2 81.8 kQ Isolated transistor gate driver Pulse-widthV 18.2 k2 modulatoir 5.1 V Fig.1 (a) Determine the quiescent value of the duty cycle D, the output voltage V, and the control voltage Vc. (b) The small signal model of the converter is derived in Fig.2, please find out Gvd, Gvg and Zout Mi mi Fig.2

Explanation / Answer

Vref = V*(18.2/100), from the resistance divider

Vref = 5.1 V

V = 28.02V

D = V (n1/n3)/Vg = 0.3318.

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