PROBLEMS 5.1 The elements of the buck-boost converter of Fig. 5.21 are ideal: all losses may be ignored. Your results for parts (a) and (b) should agree with Table 5.2. D, C R V Fig. 5.21 Buck-boost vonverter of Problems 5.1 and 5.13. Show that the converter operates in discontinuous conduction mode when K < K.v and derive expressions for K and K Derive an expression for the de conversion ratio V/V, of the buck-boost converter operating in discontinuous conduction mode. (a) (b) (c) For K = 0.1, plot V/v, over the entire range 0 sDS I.

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PROBLEMS
5.1
The elements of the buck-boost converter of Fig. 5.21 are ideal: all losses may be ignored. Your results
for parts (a) and (b) should agree with Table 5.2.
D,
C
R V
Fig. 5.21 Buck-boost converter of Problems 5.1 and 5.13.
Show that the converter operates in discontinuous conduction mode when K < Ka and derive
expressions for K and K
Derive an expression for the de conversion ratio ViV, of the buck-boost converter operating in
(a)
(b)
discontinuous conduction mode.
(c)
For K = 0.1, plot V/v, over the entire range 0 SDSI.
(d)
Sketch the inductor voltage and current waveforms for K = 0.1 and D = 0.3. Label salient fea-
tures.
(e)
What happens to V at no load (R » )? Explain why, physically.
Transcribed Image Text:PROBLEMS 5.1 The elements of the buck-boost converter of Fig. 5.21 are ideal: all losses may be ignored. Your results for parts (a) and (b) should agree with Table 5.2. D, C R V Fig. 5.21 Buck-boost converter of Problems 5.1 and 5.13. Show that the converter operates in discontinuous conduction mode when K < Ka and derive expressions for K and K Derive an expression for the de conversion ratio ViV, of the buck-boost converter operating in (a) (b) discontinuous conduction mode. (c) For K = 0.1, plot V/v, over the entire range 0 SDSI. (d) Sketch the inductor voltage and current waveforms for K = 0.1 and D = 0.3. Label salient fea- tures. (e) What happens to V at no load (R » )? Explain why, physically.
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