ST AN2439 Application note

AN2439
Application note
27 W Output power ultra wide range input
flyback converter
Introduction
As the telecommunications market grows, the need for suitable PSUs (Power Supply Unit) for equipment grows as well. For products used in telecommunications, the available voltage is either the mains voltage (from 88 V V
). Power supplies that are able to manage input AC voltage in the full range of 88Vrms
DC
to 265Vrms are quite common while ultra wide range (from 36 V supplies are not as common. The main advantage in using a UWR PSU is the savings in design and qualification. Instead of designing and qualifying two PSUs, the work is done once. Cost advantages come from bigger volume production as there is just one product that meets a larger range of electrical specifications.
Disadvantages are the difficulties in having a high performance system in working condition. This application note describes a UWR flayback converter that can be used to supply a DSLM (DSL Multiplexer).
The advantage in using a flyback converter in this application is the moderate variation of the duty cycle with the input voltage. The main drawback is the high value of the rms current in the secondary winding, in the output diode and in the output capacitor.
to 265 VAC) or 48 VDC (from 36 VDC to 72
AC
to 264 VAC) power
DC
June 2007 Rev 1 1/20
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Contents AN2439
Contents
1 Board description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.1 Active start-up with external high voltage current source [2.] . . . . . . . . . . . 4
1.2 Slope compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.3 Input section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.4 Buck DC-DC converter post regulator [3.] . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.5 Flyback converter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.6 Transformer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.7 Board tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.8 Start-up tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.9 Dynamic load regulation tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
1.10 Steady state tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
1.11 Static load and line regulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
3 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4 Revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
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AN2439 Board description

1 Board description

The electrical specifications for this converter are listed in the table below:
Table 1. Electrical specifications
Item Value
Isolated Yes
Input AC and DC voltage
Minimum DC input voltage 36 V
Maximum DC input voltage 72 V
Minimum AC input voltage 88 V
Maximum AC input voltage 265 V
Number of outputs 2
Output voltage 1 5 V
Output voltage 2 3.3 V
Maximum output current 1 2 A
Maximum output current 1 5 A
Maximum precision error on output 1 3%
Maximum precision error on output 2 3%
Total output power 27 W
As already specified, the selected topology is a flyback converter. In continuous mode the relation between output and input voltage of the converter is:
Equation 1
nV
V
OUT
-------------- n V
IN
Where n is the turn ratio and V
D
-------------
D
1D
the reflected voltage. It is easy to verify that for an input
R
voltage that changes between 36 V and 375 V and 70 V as reflected
nV
IN
(
375V 2 265=
OUT
+
OUT
--------------------------------------- -
V
V
---------------------- -===
VINVR+
)V
R
voltage, the duty cycle changes from about 70% (at minimum input voltage) to about 16%.
Buck type topologies are not suitable because the duty cycle varies widely (from 9%- to 90% for a forward converter in the same condition for example), worsening the efficiency and making the design very complex.
A second design choice was to use a switching post regulator that has, as input voltage, the output voltage of the flyback and the output as 3.3 V. The purpose of this is to meet the requested precision in both outputs and to avoid using another secondary winding where the root mean square current would be very high. Assuming a 90% of efficiency for this step down converter, the total current sunk from the output of the flyback is 5.7 A. The buck converter for the post regulation is described in Section 1.4 on page 7.
In order to limit the high root mean square current at the secondary side, another design choice was to have a flyback converter that works, most of the time, in continuous conduction mode. The controller used in this application is the L5991 [1.] which is a current
3/20
Board description AN2439
mode controller. In continuous conduction mode for the lower input voltages, the duty cycle is greater than 50% which requires a slope compensation to ensure stable operation of the current loop. The slope compensation is implemented through a circuit described in
Section 1.2 on page 5.
The switching frequency was selected to be equal to 70 kHz and the reflected voltage to be equal to 70 V.
In order to have the same wake-up time for the different input voltages, an active start-up was implemented instead of the most commonly used passive circuits. The active start-up circuit is described in Section 1.1.
In order to improve efficiency, the converter has two different inputs, one for the AC voltage (88 V
ACrms
to 265 V
) and one for the DC voltage (36 VDC to 72 VDC). The input stage
ACrms
of the converter is described in Section 1.3 on page 7.

1.1 Active start-up with external high voltage current source [2.]

The circuit of the active start-up is shown in Figure 1. Through R1 and R2 the 600 V MOSFET M diode and D the resistor R current provided to the capacitor connected to V constant current generator and its current can be calculated according to the following equation:
(STQ1NK60ZR) is switched on. The back-to-back diodes (D1 is a 15 V zener
1
is a standard diode 1N4148) are used to set the voltage between the gate and
2
pin not connected with the source of M1. The resistor R3 is used to limit the
3
of the L5991. The circuit behaves as a
CC
Equation 2
V
VTH–
ZVd
I
------------------------------------=
R
3
Where V biased and V
is the D1 zener break-down voltage, Vd the diode D2 voltage drop when forward
Z
is the gate to source on threshold voltage of the MOSFET M1.
TH
Figure 1. Active start up circuit
To Bulk Capacitor +
R
1
R
2
M
1
D
To V
REF
Pin of the L5991
T1
1
R
D
2
3
To V
Pin of the
CC
L5991
I
When we connect the converter to the mains, the controller (L5991) is initially off, and the small signal bipolar transistor T R
and R2 and the current generator starts to work charging the VCC capacitor. As the VCC
1
voltage exceeds its On Threshold, the L5991 starts to operate and sets the V to 5 V. This voltage turns on the small bipolar transistor T
is also off. The gate of the MOSFET M1 is biased through
1
pin (pin 4)
that pulls down the gate of M1
1
REF
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AN2439 Board description
⎝⎠
switching it off. As a result, as the controller is on, the current generator stops working, and the controller is supplied by the auxiliary winding of the flyback converter.

1.2 Slope compensation

The circuit for slope compensation is shown in Figure 2. When the main MOSFET (STP10NK70Z) is switched on, the GD pin (Gate Driver) of the L5991 goes high up to a voltage of about 14 V. Capacitor C large enough, compared to the switching period, we can assume that the voltage across capacitor C the partition divider R the MOSFET M diode D
is a linear ramp. This voltage is added to the CS pin (Current Sense) through
2
. Capacitor C2 is then fast discharged and ready for the next cycle.
1
1
, R1+R
3
is switched off, the gate driver pin of the L5991 pulls down the anode of
Figure 2. Slope compensation circuit
is charged through resistor R2. If the time constant RC is
2
and provides the needed slope compensation. When
SENSE
STP10NK70 M1
RSENSE
. In this
2
CS Pin of L5991
R2 22k
C2
1.8 nF
R3 15k
Bat49
RGATEGD Pin of L5991
D1
R1 1.5k
C1 100 pF
Equation 3 gives the waveform expression of the voltage across the capacitor C
formula V
is the forward voltage drop on diode D1 and VGD is the voltage on gate driver pin
D
of the L5991 (Pin 10), when it is high. As a rule of thumb, in order to have approximately a linear ramp across C
, the time constant C2RT is selected in the range of ten times the
2
switching period.
Equation 3
Neglecting R
VCt() V
SENSE
GD
it can be simplified as:
R1R3R
++
------------------------------------------------------------- -
R
+++
1R2R3RSENSE
SENSE
t–
--------------------
⎛⎞
C
2RT
1e
⎜⎟
+ e
V
D
=
t
--------------------
C
2RT
Equation 4
R1R3+
t() V
V
C
R
is the equivalent resistance across capacitor C2:
T
--------------------------------- -
GD
R
++
1R2R3
Equation 5
R2R1R3– R
----------------------------------------------------------------- -
R
τ
R
+++
1R2R3RSENSE
()
⎛⎞ ⎜⎟ ⎝⎠
SENSE
C
1e
2RT
=
VD+ e
R
2R1R3
--------------------------------------
R
++
1R2R3
()
t
--------------------
t
--------------------
C
2RT
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Board description AN2439
The slope compensation voltage added on CS Pin of the L5991 is:
Equation 6
Vst()
R
1RSENSE
------------------------------------------------
R
++
2R3RSENSE
VCt()
R
1
--------------------
R2R3+
VCt()=
We know that if we add a ramp whose slope is one half of the primary side equivalent demagnetizing current slope (m
), the current loop is stable for any duty cycle lower than
a
one. As consequence the requested amount of slope compensation needed to guarantee stable operation is:
Equation 7
V
1
R
-------
-- -
=
S
R
L
2
SENSE
m
m
In the last equation V primary side. The value of R compensation we add and of course the maximum peak current at the primary side (I
is the reflected voltage and Lm the magnetizing inductance at
R
has to be calculated taking into account the slope
SENSE
PKP
Equation 8
R
SENSE
--------------------------------------------------------- -=
I
PKP
1V
V
-------
L
D
R
MAX
-------------- -
+
f
m
sw
1
-- -
2
The maximum value of the voltage we add at the current sense pin is:
Equation 9
V
SMAX
D
MAX
-------------- -
m
s
f
sw
R
1
--------------------
R2R3+
D
⎛⎞
-------------- -
V
==
C
⎝⎠
MAX
f
sw
Figure 3 shows the gate driver signal and the slope compensation signal measured at the
CS pin.
Figure 3. Slope compensation signal
).
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Ch1 (yellow): gate driver signal Ch4 (green): slope compensation ramp on current sense pin
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