10
FN6554.0
October 8, 2007
windings would also be acceptable, but the gate drive losses
would increase.
The next step is to determine the equivalent wire gauge for
the planar structure. Since each secondary winding
conducts for only 50% of the period, the RMS current is
where D is the duty cycle. Since an FR-4 PWB planar
winding structure was selected, the width of the copper
traces is limited by the window area width, and the number
of layers is limited by the window area height. The PQ core
selected has a usable window area width of 0.165 inches.
Allowing one turn per layer and 0.020 inches clearance at
the edges allows a maximum trace width of 0.125 inches.
Using 100 circular mils(c.m.)/A as a guideline for current
density, and from EQ. 10, 707c.m. are required for each of
the secondary windings (a circular mil is the area of a circle
0.001 inches in diameter). Converting c.m. to square mils
yields 555mils
2
(0.785 sq. mils/c.m.). Dividing by the trace
width results in a copper thickness of 4.44mils (0.112mm).
Using 1.3mils/oz. of copper requires a copper weight of
3.4oz. For reasons of cost, 3oz. copper was selected.
One layer of each secondary winding also contains the
synchronous rectifier winding. For this layer the secondary
trace width is reduced by 0.025 inches to 0.100 inches(0.015
inches for the SR winding trace width and 0.010 inches
spacing between the SR winding and the secondary
winding).
The choice of copper weight may be validated by calculating
the DC copper losses of the secondary winding. Ignoring the
terminal and lead-in resistance, the resistance of each layer
of the secondary may be approximated using EQ. 11.
where
R = Winding resistance
ρ = Resistivity of copper = 669e-9Ω-inches at 20°C
t = Thickness of the copper (3 oz.) = 3.9e-3 inches
r
2
= Outside radius of the copper trace = 0.324 or 0.299
inches
r
1
= Inside radius of the copper trace = 0.199 inches
The winding without the SR winding on the same layer has a
DC resistance of 2.21mΩ. The winding that shares the layer
with the SR winding has a DC resistance of 2.65mΩ. With
the secondary configured as a 4 turn center tapped winding
(2 turns each side of the tap), the total DC power loss for the
secondary at 20°C is 486mW.
The primary windings have an RMS current of approximately
5 A (I
OUT
x N
S
/N
P
at ~ 100% duty cycle). The primary is
configured as 2 layers, 2 turns per layer to minimize the
winding stack height. Allowing 0.020 inches edge clearance
and 0.010 inches between turns yields a trace width of
0.0575 inches. Ignoring the terminal and lead-in resistance,
and using EQ. 11, the inner trace has a resistance of
4.25mΩ, and the outer trace has a resistance of 5.52mΩ.
The resistance of the primary then is 19.5mΩ at 20°C. The
total DC power loss for the primary at 20°C is 489mW.
Improved efficiency and thermal performance could be
achieved by selecting heavier copper weight for the
windings. Evaluation in the application will determine its
need.
The order and geometry of the windings affects the AC
resistance, winding capacitance, and leakage inductance of
the finished transformer. To mitigate these effects,
interleaving the windings is necessary. The primary winding
is sandwiched between the two secondary windings. The
winding layout appears below.
I
RMS
I
OUT
D 10 0.5 7.07===A
(EQ. 10)
R
2πρ
t
r
2
r
1
---- -
⎝⎠
⎜⎟
⎛⎞
ln
------------------------
= Ω
(EQ. 11)
FIGURE 7A. TOP LAYER: 1 TURN SECONDARY AND SR
WINDINGS
FIGURE 7B. INT. LAYER 1: 1 TURN SECONDARY WINDING
ISL6744A
11
FN6554.0
October 8, 2007
MOSFET Selection
The criteria for selection of the primary side half-bridge FETs
and the secondary side synchronous rectifier FETs is largely
based on the current and voltage rating of the device.
However, the FET drain-source capacitance and gate
charge cannot be ignored.
The zero voltage switch (ZVS) transition timing is dependent
on the transformer’s leakage inductance and the
capacitance at the node between the upper FET source and
the lower FET drain. The node capacitance is comprised of
the drain-source capacitance of the FETs and the
transformer parasitic capacitance. The leakage inductance
and capacitance form an LC resonant tank circuit which
determines the duration of the transition. The amount of
energy stored in the LC tank circuit determines the transition
voltage amplitude. If the leakage inductance energy is too
low, ZVS operation is not possible and near or partial ZVS
operation occurs. As the leakage energy increases, the
voltage amplitude increases until it is clamped by the FET
body diode to ground or V
IN
, depending on which FET
conducts. When the leakage energy exceeds the minimum
required for ZVS operation, the voltage is clamped until the
energy is transferred. This behavior increases the time
window for ZVS operation. This behavior is not without
consequences, however. The transition time and the period
of time during which the voltage is clamped reduces the
effective duty cycle.
The gate charge affects the switching speed of the FETs.
Higher gate charge translates into higher drive requirements
and/or slower switching speeds. The energy required to
drive the gates is dissipated as heat.
The maximum input voltage, V
IN
, plus transient voltage,
determines the voltage rating required. With a maximum
input voltage of 53V for this application, and if we allow a
10% adder for transients, a voltage rating of 60V or higher
will suffice.
FIGURE 7C. INT. LAYER 2: 2 TURNS PRIMARY WINDING
FIGURE 7D. INT. LAYER 3: 2 TURNS PRIMARY WINDING
FIGURE 7E. INT. LAYER 4: 1 TURN SECONDARY WINDING
FIGURE 7F. BOTTOM LAYER: 1 TURN SECONDARY AND SR
WINDINGS
FIGURE 7G. PWB DIMENSIONS
0.689
0.807
0.639
0.403
0.169
0.000
1.0540.7740.4790.1840.000
0.358
ISL6744A
12
FN6554.0
October 8, 2007
The RMS current through each primary side FET can be
determined from EQ. 10, substituting 5A of primary current
for I
OUT
(assuming 100% duty cycle). The result is 3.5A
RMS. Fairchild FDS3672 FETs, rated at 100V and 7.5A
(r
DS(ON)
= 22mΩ), were selected for the half-bridge
switches.
The synchronous rectifier FETs must withstand
approximately one half of the input voltage assuming no
switching transients are present. This suggests that a device
capable of withstanding at least 30V is required. Empirical
testing in the circuit revealed switching transients of 20V
were present across the device indicating a rating of at least
60V is required.
The RMS current rating of 7.07A for each SR FET requires a
low r
DS(ON)
to minimize conduction losses, which is difficult to
find in a 60V device. It was decided to use two devices in
parallel to simplify the thermal design. Two Fairchild FDS5670
devices are used in parallel for a total of four SR FETs. The
FDS5670 is rated at 60V and 10A (r
DS(ON)
= 14mΩ).
Oscillator Component Selection
The desired operating frequency of 235kHz for the converter
was established in the Design Criteria section. The
oscillator frequency operates at twice the frequency of the
converter because two clock cycles are required for a
complete converter period.
During each oscillator cycle the timing capacitor, C
T
, must be
charged and discharged. Determining the required
discharge time to achieve zero voltage switching (ZVS) is
the critical design goal in selecting the timing components.
The discharge time sets the deadtime between the two
outputs, and is the same as ZVS transition time. Once the
discharge time is determined, the remainder of the period
becomes the charge time.
The ZVS transition duration is determined by the
transformer’s primary leakage inductance, L
lk
, by the FET
Coss, by the transformer’s parasitic winding capacitance,
and by any other parasitic elements on the node. The
parameters may be determined by measurement,
calculation, estimate, or by some combination of these
methods.
Device output capacitance, Coss, is non-linear with applied
voltage. To find the equivalent discrete capacitance, Cfet, a
charge model is used. Using a known current source, the
time required to charge the MOSFET drain to the desired
operating voltage is determined and the equivalent
capacitance is calculated.
Once the estimated transition time is determined, it must be
verified directly in the application. The transformer leakage
inductance was measured at 125nH and the combined
capacitance was estimated at 2000pF. Calculations indicate
a transition period of ~25ns. Verification of the performance
yielded a value of T
D
closer to 45ns.
The remainder of the switching half-period is the charge
time, T
C
, and can be found from
where F
Sw
is the converter switching frequency.
Using Figure 3, the capacitor value appropriate to the
desired oscillator operating frequency of 470kHz can be
selected. A C
T
value of 100pF, 150pF, or 220pF is
appropriate for this frequency. A value of 150pF was
selected.
To obtain the proper value for R
TD
, EQ. 3 is used. Since
there is a 10ns propagation delay in the oscillator circuit, it
must be included in the calculation. The value of R
TD
selected is 10kΩ.
Output Filter Design
The output filter inductor and capacitor selection is simple
and straightforward. Under steady state operating conditions
the voltage across the inductor is very small due to the large
duty cycle. Voltage is applied across the inductor only during
the switch transition time, about 45ns in this application.
Ignoring the voltage drop across the SR FETs, the voltage
across the inductor during the on time with V
IN
= 48V is
where
V
L
is the inductor voltage
V
S
is the voltage across the secondary winding
V
OUT
is the output voltage
If we allow a current ramp, ΔI, of 5% of the rated output
current, the minimum inductance required is
An inductor value of 1.5μH, rated for 18A was selected.
With a maximum input voltage of 53V, the maximum output
voltage is about 13V. The closest higher voltage rated
capacitor is 16V. Under steady state operating conditions the
ripple current in the capacitor is small, so it would seem
appropriate to have a low ripple current rated capacitor.
However, a high rated ripple current capacitor was selected
t
zvs
π L
lk
2C
oss
C
xfrmr
+()
2
--------------------------------------------------------------------
s
(EQ. 12)
Cfet
Ichg t
V
--------------------
= F
(EQ. 13)
T
C
1
2F
Sw
--------------------
T
D
1
2 235 10
3
----------------------------------
45 10
9
2.08== =μs
(EQ. 14)
V
L
V
S
V
OUT
V
IN
N
S
1D()
2N
P
----------------------------------------------- -
250== mV
(EQ. 15)
L
V
L
T
ON
ΔI
-------------------------
0.25 2.08
0.5
-----------------------------
1.04==μH
(EQ. 16)
ISL6744A

ISL6744AABZ

Mfr. #:
Manufacturer:
Renesas / Intersil
Description:
Switching Controllers HI SPD DOUBLE ENDED CONT 8LD
Lifecycle:
New from this manufacturer.
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