Download Dual Forward-Flyback Converter - Introduction to Power Electronics | ECEN 5797 and more Assignments Electrical and Electronics Engineering in PDF only on Docsity! SC , be, ECENSI97
Selihen { Problem 2 a oe ec ENt97
1 Dual forward/flyback converter |
The converter illustrated below has been proposed as an approach that allows one converter
to simultaneously regulate two independent outputs. In addition, it allows the transformer
of the forward converter to operate over a wider range of duty cycles than in the
conventional approach.
Lf
The main output (that produces voltage Vi) constitutes the secondary side of a forward
converter, and is designed to operate in continuous conduction mode (CCM) for all
expected values of load resistance Ry. A controller adjusts the transistor duty cycle D as
necessary to maintain V, at the desired value.
The auxiliary output (that produces voltage V;) constitutes the secondary side of a flyback
converter, and is designed to operate in discontinuous conduction mode (DCM) for ali
expected values of load resistance Rs. The controller adjusts the switching frequency £ as
necessary to maintain Vat the desired value.
‘The three-winding transformer has turns ratio 1:1:1, with magnetizing inductance L2.
(a) For the case when output 1 operates in CCM and output 2 operates in DCM, find
the expressions for the steady-state output voltage Vi and V2, as functions of the
transistor duty cycle D, the switching frequency , and circuit element values as
appropriate.
(b) Derive the conditions for which output 1 operates in CCM and output 2 operates in
DCM.
© Does the transformer reset correctly (ie, do the volt-seconds balance) when
D> 0.5?
(d)
Select values for £; and Lz so that the converter behaves as described above, and
meets the following requirements:
20V < V<30V
Ourpur t: Vj = 12 V, max current = 2 A, min current = 1 A
Ourput 2: V; = 36 V, max current = 0.2 A, min current = 0.1 A
Choose Ly such that the maximum switching frequency is 300 kHz. Choose , such
that its current ripple Ai is 0.4 A under worst case conditions, and is less than 0.4 A
under all other conditions.
For your design, compute the range of switching frequencies and duty cycles over
which the converter will operate.
v= DNs
Vi D No
zie FS
Ra
b> Mode beandowy
Oxtpst Li ecm
Ai, = VV OT = DD. VT:
Ly a aL,
- VN DN.
Tr ats = by charap kalance on Cc,
Ly CEM opershon | T, > Sh
> w
> Pe. Dp Ny Ts
Ry al,
> ab / 3 ’
a > Kk, > D
RTs 7?
wi K\= alu
RTs
Oatpst AY DCM
then ov [pat o2. operates w com, we ast
DY =O Vy by yolt- wecond balance on ban
ond D'Iy = = No by charge balances on Co.
ore
so Im = Se = DS
DtRe pie Re
ak Aims Ve DS
aby
tay
Aim > Tm
=> NobTs Dvs5
Alm DP? Re
2
) 1
Oyo Se s Or
with Kg = 2be
Re15
(2) Yes the voll- sec ands balance ow Lay
oe all Dade \ land less ef
as well) . The £4, back ondpict
ts obfeiy
COME M wode
voltage Ny adiushs as wecesSary
Lance ov" Lia .
pol} - second bo
(4) Chose valves of Lian Ll, ®
sahshy
opt 1 w= 2) mex D5 2 min b=
So 6G R412.
outpat Ri Va= 3G wax T= 0.2, wm D0.)
Se (tor 2Ry 4 Boo wr
way {= Zoo kha
At Zoth
“han conpak i of variahay ef D awd fs,
Dutpat 4 delonawes dahy cycle yariahan “Hersh
V= Dv; > d= ve
Vy
may Da H=ou Ath De Ss ot
Oubyit QA deler mes surehing Fepacner wandhing !
v= Diy 3 ~ /ye\® Re
> 2 Je =) {.= —) sre
z m
“S
bat dvs =\, Se
‘ . and hence fo Fe
fe a> MAK fe occurs at R= 30-2
ta ) = geo big: cheese
wn (F Ee = (BY 2S = tom
Nx 2 “2 wax fs,