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# homework_3 - Problem_3 A buck-boost chopper like that in...

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Tsogbayar Onh Problem_1 A buck chopper like that in Figure 7.1 has the following data: E=40 V, T=50 μs, L=250μH, D=0.4, C=60 μF, and R=10 Ω. Find: (a) the value of L necessary for the continuous current mode (b) V C (c) I max and I min (d) V C a) ( 29 ( 29 150 00015 . 0 4 . 0 1 2 10 * 00005 . 0 1 2 = = - = - = D TR L μ H b) 16 40 * 4 . 0 = = = DE V c c) ( 29 ( 29 2 . 3 00015 . 0 * 2 00005 . 0 * 4 . 0 1 10 1 * 40 * 4 . 0 2 1 1 max = - + = - + = L T D R DE I A ( 29 ( 29 0 00015 . 0 * 2 00005 . 0 * 4 . 0 1 10 1 * 40 * 4 . 0 2 1 1 min = - - = - - = L T D R DE I A d) 20 2 00005 . 0 2 0 2 . 3 * 2 1 2 2 2 1 min max = - = - = T I I Q μ C 333 . 0 60 20 = = = F C C Q V c μ μ V

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Problem_2 A boost chopper like that in Figure 7.5 supplies a load of 40 V and 100 W from a 30 V source. The switching frequency is 25 kHz. Design values for L and C such that peak switch current does not exceed 5 A and V C is 1.0 V. = = = 16 100 40 _ 2 2 power output V R c D E V c - = 1 25 . 0 40 30 1 1 = - = - = c V E D ( 29 ( 29 ( 29 H f R D D D D RT L μ 45 25000 * 2 16 * 25 . 0 1 * 25 . 0 2 1 1 2 2 2 2 = - = - = - = C f D R V DT R V Q c c μ 25 25000 1 * 25 . 0 * 16 40 1 = = = = F C V Q C c
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Unformatted text preview: Problem_3 A buck-boost chopper like that in Figure 7.9 supplies a load of 25 Ω with 35 V from a 25V source. The switching frequency is 40 kHz. Find: (a) the value of L for just continuous inductor current (b) the value of C for ∆ V C of 0.25 V (for this part use a value of L that is twice that found in part (a)). a) E D D V c -= 1 ⇒ 25 1 35 -= D D ⇒ 583 . = D ( 29 ( 29 ( 29 H D f R D RT L μ 54 583 . 1 * 40000 * 2 25 1 2 1 2 2 2 2 =-=-=- = b) C Rf D V Q c 405 . 20 40000 * 25 583 . * 35 = = = ∆ F C V Q C c 62 . 81 25 . 405 . 20 = = ∆ ∆ =...
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homework_3 - Problem_3 A buck-boost chopper like that in...

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