Fairchild AN-4140 Transformer design consideration Datasheet

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AN-4140
Transformer Design Consideration for Offline Flyback
Converters Using Fairchild Power Switch (FPS™)
1. Introduction
For flyback coverters, the transformer is the most important factor
that determines the performance such as the efficiency, output
regulation and EMI. Contrary to the normal transformer, the
flyback transformer is inherently an inductor that provides energy
storage, coupling and isolation for the flyback converter. In the
general transformer, the current flows in both the primary and
secondary winding at the same time. However, in the flyback
transformer, the current flows only in the primary winding while
the energy in the core is charged and in the secondary winding
while the energy in the core is discharged. Usually gap is
introduced between the core to increase the energy storage
capacity.
This paper presents practical design considerations of transformers
for off-line flyback converters employing Fairchild Power Switch
(FPS). In order to give insight to the reader, practical design
examples are also provided.
2. General Transformer design procedure (1)
Choose the proper core
Core type : Ferrite is the most widely used core material for
commercial SMPS (Switchied mode power supply) applications.
Various ferrite cores and bobbins are shown in Figure 1. The type
of the core should be chosen with regard to system requirements
including number of outputs, physical height, cost and so on. Table
1 shows features and typical application of various cores.
Core Features
EE EI -Low cost
EFD
EPC
EER
PQ
Typical Applications
Aux. power
Battery charger
LCD Monitor
-Low profile
-Large winding window area
-Various bobbins for multiple
output
-Large cross sectional area
-Relatively expensive
CRT monitor, C-TV
DVDP, STB
Table 1. Features and typical applications of various cores
Core size: Actually, the initial selection of the core is bound to be
crude since there are too many variables. One way to select the
proper core is to refer to the manufacture's core selection guide. If
there is no proper reference, use the table 2 as a starting point. The
core recommended in table 1 is typical for the universal input
range, 67kHz switching frequency and 12V single output
application. When the input voltage range is 195-265 Vac
(European input range) or the switching frequency is higher than
67kHz, a smaller core can be used. For an application with low
voltage and/or multiple outputs, usually a larger core should be
used than recommended in the table.
Output
Power
0-10W
EI core
EE core
EPC core
EER core
EI12.5
EI16
EI19
EPC10
EPC13
EPC17
10-20W
EI22
EE8
EE10
EE13
EE16
EE19
20-30W
30-50W
50-70W
EI25
EI28 EI30
EI35
EE22
EE25
EE30
EPC25
EPC30
70-100W
EI40
EE35
EER35
100-150W
EI50
EE40
150-200W
EI60
EE50
EE60
EER40
EER42
EER49
EPC19
EER25.5
EER28
EER28L
Table 2. Core quick selection table (For universal input range,
fs=67kHz and 12V single output)
Figure 1. Ferrite core (TDK)
©2003 Fairchild Semiconductor Corporation
AN4140
Rev. 1.0.0
APPLICATION NOTE
Once the core type and size are determined, the following variables
are obtained from the core data sheet.
- Ae : The cross-sectional area of the core (mm2)
- Aw : Winding window area (mm2)
- Bsat : Core saturation flux density (tesla)
Figure 2 shows the Ae and Aw of a core. The typical B-H
characteristics of ferrite core from TDK (PC40) are shown in
Figure 3. Since the saturation flux density (Bsat) decreases as the
temperature increases, the high temperature character-istics should
be considered. If there is no reference data, use BSat =0.3~0.35 T.
(2) Determine the primary side inductance ( L m ) of the
transformer
In order to determine the primary side inductance, the following
variables should be determined first. (For a detailed design
procedure, please refer to the application note AN4137.)
- Pin : Maximum input power
- fs : Switching frequency of FPS device
- VDCmin : Minimum DC link voltage
- Dmax : Maximum duty cycle
- KRF : Ripple factor, which is defined at the minimum input
voltage and full load condition, as shown in Figure 4. For DCM
operation, KRF = 1 and for CCM operation KRF < 1. The ripple
factor is closely related with the transformer size and the RMS
value of the MOSFET current. Even though the conduction loss in
the MOSFET can be reduced through reducing the ripple factor,
too small a ripple factor forces an increase in transformer size.
Considering both efficiency and core size, it is reasonable to set
KRF = 0.3-0.5 for the universal input range and KRF = 0.4-0.8 for
the European input range. Meanwhile, in the case of low power
applications below 5W where size is most critical, a relatively
large ripple factor is used in order to minimize the transformer size.
In that case, it is typical to set KRF = 0.5-0.7 for the universal input
range and KRF = 1.0 for the European input range.
Figure 2. Window Area and Cross Sectional Area
peak-peak
DCM operation-DCM operation
EDC-EDC
Figure 4. MOSFET Drain Current and Ripple Factor (KRF)
Magnetization Curves (typical)-Magnetization Curves (typical)
Material :PC40100-Material :PC40100
Flux density B (mT)-Flux density B (mT)
With the given variables, the primary side inductance, Lm is
obtained as
Magnetic field H (A/m)-Magnetic field H (A/m)
Figure 3. Typical B-H characteristics of ferrite core
(TDK/PC40)
min-min
max-max
where VDCmin is the minimum DC input voltage, Dmax is the
maximum duty cycle, Pin is the maximum input power fs is the
switching frequency of the FPS device and KRF is the ripple factor.
Once Lm is determined, the maximum peak current and RMS
current of the MOSFET in normal operation are obtained as
(3) Determine the number of turns for each output
Figure 6 shows the simplified diagram of the transformer, whrere
Vo1 stands for the reference output that is regulated by the feedback
control while Vo(n) stands for the n-th output.
First, determine the turns ratio (n) between the primary side and the
feedback controlled secondary side as a reference.
where Np and Ns1 are the number of turns for primary side and
reference output, respectively, Vo1 is the output voltage and VF1 is
the diode (DR1) forward voltage drop of the reference output that is
regulated by the feedback control.
Then, determine the proper integer for Ns1 so that the resulting Np is
larger than Npmin obtained from equation (6).
rms-rms
where-where
and-and
in-in
With the chosen core, the minimum number of turns for the
transformer primary side to avoid the core saturation is given
by
The number of turns for the other output (n-th output) is determined
as
turns-turns
The number of turns for Vcc winding is determined as
tums-tums
over-over
sat-sat
where Lm is the primary side inductance, Iover is the FPS
pulse-by-pulse current limit level, Ae is the cross-sectional area of
the core and Bsat is the saturation flux density in tesla.
If the pulse-by-pulse current limit level of FPS is larger than the
peak drain current of the power supply design, it may result in
excessive transformer size since Iover is used in determining the
minimum primary side turns as shown in equation (6). Therefore, it
is required to choose a FPS with proper current limit specifications
or to adjust the peak drain current close to Iover by increasing the
ripple factor as shown in Figure 5. It is reasonable to design Idspeak to
be 70-80% of Iover considering the transient response and tolerance
of Iover.
where Vcc* is the nominal value of the supply voltage of the FPS
device, and VFa is the forward voltage drop of Da as defined in
Figure 6. Since Vcc increases as the output load increases, it is
proper to set Vcc* as Vcc start voltage (refer to the data sheet) to
avoid triggering the over voltage protection during normal
operation.
Pulse-by-pulse current limit of FPS (Iover)
Increasing ripple factor (KRF)
Decreasing pirmary side Inductance (Lm)
Figure 5. Adjustment peak drain current
Figure 6. Simplified diagram of the transformer
Once the number of turns on the primary side have been determined,
the gap length of the core is obtained through approximation as
where AL is the AL-value with no gap in nH/turns2, Ae is the cross
sectional area of the core as shown in Figure 2, Lm is specified in
equation (1) and Np is the number of turns for the primary side of the
transformer
(4) Determine the wire diameter for each winding
The wire diameter is determined based on the rms current through
the wire. The current density is typically 5A/mm2 when the wire is
long (>1m). When the wire is short with a small number of turns, a
current density of 6-10 A/mm2 is also acceptable. Avoid using wire
with a diameter larger than 1 mm to avoid severe eddy current losses
as well as to make winding easier. For high current output, it is
better to use parallel windings with multiple strands of thinner wire
to minimize skin effect.
3. Transformer Construction Method.
(1) Winding Sequence (a)
When the primary side winding has more than two layers, the
innermost layer winding should start from the drain pin of FPS as
shown in Figure 7. This allows the winding driven by the highest
voltage to be shielded by other windings, thereby maximizing the
shielding effect.
(b) Vcc winding
In general, the voltage of each winding is influenced by the voltage
of the adjacent winding. The optimum placement of the Vcc
winding is determined by the over voltage protection (OVP)
sensitivity, the Vcc operating range and control scheme.
-Over voltage protection (OVP) sensitivity : When the output
voltage goes above its normal operation value due to some
abnormal situation, Vcc voltage also increases. FPS uses Vcc
voltage to indirectly monitor the over voltage situation in the
secondary side. However, a RCD snubber network acts as an
another output as shown in Figure 8 and Vcc voltage is also
influenced by the snubber capacitor voltage. Because the snubber
voltage increases as the drain current increases, OVP of FPS can
be triggered not only by the output over voltage condition, but also
by the over load condition.
The sensitivity of over voltage protection is closely related to the
physical distance between windings. If the Vcc winding is close to
the secondary side output winding, Vcc voltage will change
sensitively to the variation of the output voltage. Meanwhile, if the
Vcc winding is placed close to the primary side winding, Vcc
voltage will vary sensitively as the snubber capacitor voltage
changes.
Primary winding
Bobbin-Bobbin
Barrier tape-Barrier tape
Insulation tape-Insulation tape
To FPS Drain pin-To FPS Drain pin
Figure 7. Primary side winding
It is typical to place all the primary winding or a portion of the
primary winding innermost on the bobbin. This minimizes the length
of wire, reducing the conduction loss in the wire. The EMI noise
radiation can be reduced, since the other windings can act as
Faraday shields.
Figure 8. Primary side winding
- Vcc operating range : As mentioned above, Vcc voltage is
influenced by the snubber capacitor voltage. Since the snubber
capacitor voltage changes according to drain current, Vcc voltage
can go above its operating range triggering OVP in normal
operation. In that case, Vcc winding should be placed closest to the
reference output winding that is regulated by feedback control and
far from the primary side winding as shown in Figure 9.
Secondary winding (4 turns)
Secondary winding (3 strands, 4 turns)
Na (Vcc winding)-Na (Vcc winding)
Ns1 (Reference output)-Ns1 (Reference output)
Figure 9. Winding sequence to reduce Vcc variation
- Control scheme : In the case of primary side regulation, the
output voltages should follow the Vcc voltage tightly for a good
output regulation. Therefore, Vcc winding should be placed close
to the secondary windings to maximize the coupling of the Vcc
winding with the secondary windings. Meanwhile, Vcc winding
should be placed far from primary winding to minimize coupling to
the primary. In the case of secondary side regulation, the Vcc
winding can be placed between the primary and secondary or on
the outermost position.
(c) Secondary side winding
When it comes to a transformer with multiple outputs, the highest
output power winding should be placed closest to the primary side
winding, to reduce leakage inductance and to maximize energy
transfer efficiency. If a secondary side winding has relatively few
turns, the winding should be spaced to traverse the entire width of
the winding area for improved coupling. Using multiple parallel
strands of wire will also help to increase the fill factor and coupling
for the secondary windings with few turns as shown in Figure 10.
To maximize the load regulation, the winding of the output with
tight regulation requirement should be placed closest to the
winding of the reference output that is regulated by the feedback
control.
Figure 10. Multiple parallel strands winding
(2) Winding method
-Stacked winding on other winding: A common technique for
winding multiple outputs with the same polarity sharing a common
ground is to stack the secondary windings instead of winding each
output winding separately, as shown in Figure 11. This approach
will improve the load regulation of the stacked outputs and reduce
the total number of secondary turns. The windings for the lowest
voltage output provide the return and part of the winding turns for
the next higher voltage output. The turns of both the lowest output
and the next higher output provide turns for succeeding outputs.
The wire for each output must be sized to accommodate its output
current plus the sum of the output currents of all the output stacked
on top of it.
-Stacked winding on other output: If a transformer has a very
high voltage and low current output, the winding can be stacked on
the lower voltage output as shown in Figure 12. This approach
provides better regulation and reduced diode voltage stress for the
stacked output. The wire and rectifier diode for each output must
be sized to accommodate its output current plus the sum of the
output currents of all the output stacked on top of it.
Secondary windings with only a few turns should be spaced across
the width of the bobbin window instead of being bunched together,
in order to maximize coupling to the primary. Using multiple
parallel strands of wire is an additional technique of increasing the
fill factor and coupling of a winding with few turns as shown in
Figure 10.
Figure 11. Stacked winding on other winding
Figure 13. Sandwich winding
(4) Transformer shielding
Figure 12. Stacked winding on other output
(3) Minimization of Leakage Inductance
The winding order in a transformer has a large effect on the
leakage inductance. In a multiple output transformer, the secondary
with the highest output power should be placed closest to the
primary for the best coupling and lowest leakage. The most
common and effective way to minimize the leakage inductance is a
sandwich winding as shown in Figure 13.
A major source of common mode EMI in Switched Mode Power
Supply (SMPS) is the parasitic capacitances coupled to the
switching devices. The MOSFET drain voltage drives capacitive
current through various parasitic capacitances. Some portion of
these capacitive currents flow into the neutral line that is connected
to the earth ground and observed as common mode noise. By using
an electrostatic separation shield between the windings (at primary
winding side, or at secondary winding side, or both), the common
mode signal is effectively "shorted" to the ground and the
capacitive current is reduced. When properly designed, such
shielding can dramatically reduce the conducted and radiated
emissions and susceptibility. By using this technique, the size of
EMI filter can be reduced. The shield can be easily implemented
using copper foil or tightly wound wire. The shield should be
virtually grounded to a quiescent point such as primary side DC
link, primary ground or secondary ground.
Figure 14 shows a shielding example, which allows the removal of
the Y-capacitor that is commonly used to reduce common mode
EMI. As can be seen, shields are used not only on the bottom but
also on the top of the primary winding in order to cancel the
coupling of parasitic capaci-tances. Figure 15 also shows the
detailed shielding construction.
DC link-DC link
Shielding A–Shielding A
Drain-Drain
Shield B
Figure 14. Shielding example to remove Y-capacitor
TOP-TOP Insulation Tape-Insulation Tape Copper Foil-Copper Foil
BOTTOM-BOTTOM Primary Winding-Primary Winding
Winding Direction-Winding Direction Copper Foil-Copper Foil
Insulation Tape- Insulation Tape
Figure 15. Shielding method to remove Y-Capacitor
a) LCD monitor SMPS example
(5) Practical
construction
examples
of
transformer
As described in the above sections, there many factors that should
be considered in determining the winding sequence and winding
method. In this section some practical examples of transformer
construction are presented to give a compre-hensive understanding
of practical transformer construction.
Figure 16 shows a simplified transformer schematic for typical LCD
monitor SMPS. The 5V output is for the Micro-processor and 13V
output is for the inverter input of LCD back light. While 5V output is
regulated with the feedback control, 13V output is determined by the
transformer turns ratio and a stacked winding is usually used to
maximize the regulation.
Transformer construction Example A (Figure 17) : In this
example, the leakage inductance is minimized by employing a
sandwich winding. The Vcc winding is placed outside to provide
shielding effect. Since the Vcc winding is placed on the top half of
primary winding, the coupling between the Vcc winding and 5V
output winding is poor, which may require a small dummy load on
the 5V output to prevent UVLO (Under Voltage Lock Out) in the
no load condition.
Transformer construction Example B (Figure 18) : In this
example, the leakage inductance is larger than example A, since a
sandwich winding is not used. However, the Vcc winding is tightly
coupled with the 5V output winding and Vcc remains its normal
operation range in the no load condition. Even though this
approach can prevent UVLO in no load conditions without dummy
load, the power conversion efficiency might be relatively poor
compared to example A due to the large leakage inductance.
Figure 18. LCD monitor SMPS transformer construction
example (B)
(b) CRT monitor SMPS example - PSR (Primary side regulation)
Figure 19 shows a simplified transformer schematic for a typical
CRT monitor SMPS employing PSR (Primary side regulation).
80V and 50V outputs are the main output having high output
power. Meanwhile, 5V and 6.5V outputs are auxiliary output
having small output power. The 80V output winding is stacked on
the 50V output to reduce the voltage stress of the rectifier diode
(DR1).
Figure 16. LCD monitor SMPS transformer example
Figure 17. LCD monitor SMPS transformer construction
example (A)
Main output with large power
Aux output with small power
Figure 19. CRT monitor SMPS transformer example-PSR
Figure 20 shows the detailed transformer construction. In order to
minimize the leakage inductance, sandwich winding is employed
and the main output windings are placed closest to the primary
winding. The Vcc winding is placed closest to the main output
windings to provide tight regulations of the main output. The
auxiliary output windings are placed outside of the primary
winding to provide a shielding effect.
Figure 20. CRT monitor SMPS transformer construction
example (PSR)
Figure 21. CRT monitor SMPS transformer example-SSR
(c) CRT monitor SMPS example - SSR (Secondary side
regulation)
Figure 21 shows a simplified transformer schematic for typical
CRT monitor SMPS employing SSR (Secondary side regulation).
80V and 50V outputs are the main output having high output
power. Meanwhile, 5V and 6.5V outputs are auxiliary output
having small output power. The 80V output winding is stacked on
50V output to reduce the voltage stress of the rectifier diode (DR1).
Figure 22 shows the detailed transformer construction. In order to
minimize the leakage inductance, a sandwich winding is employed
and the main output windings are placed closest to the primary
winding. The Vcc winding is placed outermost to provide a
shielding effect. The auxiliary output windings are placed between
windings of the main output winding to obtain better regulation.
Figure 22. CRT monitor SMPS transformer construction
example (SSR)
References
Colonel Wm. T. McLyman, Transformer and Inductor design Handbook, 2nd ed. Marcel Dekker, 1988.
Anatoly Tsaliovich, Electromagnetic shielding handbook for wired and wireless EMC application, 1998
Bruce C. Gabrielson and Mark J. Reimold, "Suppression of Powerline noise with isolation transformers", EMC expo87 San Diego,
1987.
D.Cochrane, D.Y.Chen, D. Boroyevich, "Passive cancel-lation of common mode noise in power electronics circuits," PESC 2001,
pp.1025-1029
Otakar A. Horna, "HF Transformer with triaxial cable shielding against capacitive current", IEEE Transactions on parts, hybrids, and
packaging, vol.php-7, N0.3 , Sep. 1971.
Author
by Hang-Seok Choi / Ph. D
Power Supply Group / Fairchild Semiconductor
Phone : +82-32-680-1383 Facsimile : +82-32-680-1317
E-mail : [email protected]
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