computations 2
DESCRIPTION
computationsTRANSCRIPT
STEP 1: Define the system specifications Vline
min = 100 V Vline
max = 240 V fL = 60 Hz Po = 7 W Eff = 75%
P¿=Po
E ff
= 70.75
=9.33W
K L(5 )=Po(5)
Po
=5.67
×100=80%
K L(12)=Po (12)
Po
=1.47
×100=20%
STEP 2: Determine DC link capacitor and DC link voltage range Dch = 0.2
CDC=(3×10−6 ) (7W )=21μF
V DCmin=√2 ∙(V line
min)2−P¿ ∙ (1−D ch )
CDC ∙ f L
=√2 (100 )2−(9.33 ) (1−0.2 )(21×10−6 ) (60 )
V DCmin=118.643V
V DCmax=√2V line
max=(√2 ) (240 )
V DCmax=339.411V
STEP 3: Determine maximum duty ratio (Dmax)
V DSnom=(600 ) (0.7 )=420V
V RO=V DSnom−V dc
max=420−339.411=80.859V
V RO=Dmax
1−Dmax
∙V DCmin
80.859=Dmax
1−Dmax
(118.643 )
Dmax=0.4045
STEP 4: Determine transformer primary inductance (Lm) KRF = 0.5 fS = 67 KHz
Lm=(V dc
min ∙ Dmax)2
2 ∙P ¿∙ f S ∙K RF
=[ (118.643) (0.4045 ) ]2
(2 ) (9.33 ) (67×103 ) (0.5 )=3.684×10−3H
IEDC=P¿
(V DCmin) ( Dmax )
= 9.33(118.543 ) (0.4045 )
=194.411×10−3 A
∆ I=(V DC¿¿min) (Dmax )
(l¿¿m)(f s)¿¿
∆ I=(118.643 )(0.4045)
(3.684×10−3 )(67×103)∆ I=0.1944313136I dc
peak=I EDC+( ∆I /2 )2
I dcpeak=194.411×10−3+( 0.19443131362 )
2
I dcpeak=0.2916267327
I dsrms=√3 ( IEDC)
2+( ∆I2 )
2 Dmax
3
I dsrms=0.1296459243
V dcCCM=( I
√2lmfsPin− 1
V RC )−1
V dcCCM=424.8762256V
STEP 5: Choose the proper FPS considering the input power and current limit
I ¿=I dspeak+ I ds
peak (0.12)I ¿>326.621mA
STEP 6: Determine the proper core and the minimum primary turnsk
N pmin=
Lm I ¿
B sa+Ae
×106
N pmin=
(3.684×10−3 )(326.621×10−3)(0.35 )(20.1)
×106
N pmin=171 turns
STEP 7: Determine the number of turns for each output
STEP 8: Determine the wire diameter for each windingK
STEP 9: Choose the rectifier diode in the secondary sideK
STEP 10: Determine the output capacitorK
STEP 11: Design RCD snubberK
STEP 12: Design feedback control loopK