
AN372
26 AN372REV1
For practical winding reasons an integer turns ratio is preferred giving the option of multifilar winding taking
advantage of tight coupling. The maximum FET voltage V
DS
is calculated using Equation 44.
Step 5) Select the Full Brightness Switching Frequency
Minimum and maximum duty cycles, for the tapped buck, are calculated using Equation 9:
expecting a slightly better efficiency
Step 6) Determine the Buck Nominal Timing T1 and T2
At maximum boost voltage V
BST
time T1 is calculated:
and time T2 is calculated:
At minimum boost voltage V
BST
time T1 is calculated:
and time T2 is calculated:
Step 7) Calculate Peak Current on the Buck Primary-side
Calculate average current I
AV
Calculate the peak current I
PK(FB)
at minimum boost voltage V
BST
:
Step 8) Calculate R
Sense
(R21)
The CS1613 current sense threshold is set to 1.4V. The voltage drop across the sense resistor R
Sense
must
equal 1.4V when a maximum current of 0.15A flows through resistor R
Sense
. Use Equation 14 to solve for
R
Sense
(R23).
V
DS
V
BST max
NV
OUT max
+ 445V 4 25.2 V+ 546V===
[Eq. 44]
Cmin/max
V
OUT min
N1+
NV
OUT min
V
BST max
+
----------------------------------------------------------------------------
23.8V 5
4 23.8V 445.5V+
-------------------------------------------------------- -
= 22%==
[Eq. 45]
Cmax/min
V
OUT min
N1+
NV
OUT min
V
BST max
+
----------------------------------------------------------------------------
=
25.2V 5
4 25.2V 365V+
--------------------------------------------------- -
27%==
[Eq. 46]
P
IN
P
OUT
-----------------
=
9.6W
0.95
--------------
10.1W==
[Eq. 47]
T1
Cmin/max
TT 0.22 8s 1.76s===
[Eq. 48]
T2 TT T1– 8s1.76s– 6.24s== =
[Eq. 49]
T1
Cmax/min
TT 0.27 8s 2.16s===
[Eq. 50]
T2 TT T1– 8s2.16s– 5.84s== =
[Eq. 51]
I
AV
P
IN
V
BST min
--------------------------
10.1W
405V 40.5V–
---------------------------------------- -
== 28mA=
[Eq. 52]
I
PK FB
2I
AV
C
----------------- -
=
228mA
0.27
------------------------- -
207mA==
[Eq. 53]
R
Sense
1.4V
I
PK FB
------------------
1.4V
0.207A
-------------------
6.76===
[Eq. 54]
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