Rev 1.0
September 2005 1/26
26
Introduction
This application note is a Ringing Choke Converter (RCC)-based, step-by-step cell phone battery charger
design procedure.
The RCC is essential to the self-oscillating fly-back converter, and operates within the Discontinuous
Conduction Mode (DCM) and Continuous Conduction Mode (CCM) boundaries without noticeable
reverse recovery of the output rectifying diodes. RCC control is achieved by using discrete components to
control the peak current mode, so the overall RCC cost is relatively low compared to the conventional
Pulse Width Modulation (PWM) IC fly-back converter. As a result, RCC is widely used for low power
applications in industry and home appliances as a simple and cost-effective solution.
Figure 1. STD1LNK60Z-based RCC Printed Circuit Board
Bottom ViewTop View
AN2228
APPLICATION NOTE
STD1LNK60Z-based Cell Phone Battery Charger Design
http:/www.st.com
AN2228 - APPLICATION NOTE
2/26
Table of Contents
1 Power Transformer Design Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.1 Switching Frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.2 STD1LNK60Z MOSFET Turn Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.3 Primary Current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.4 Primary Inductance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.5 Magnetic Core Size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.6 Primary Winding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.7 Secondary Winding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.8 Auxiliary Winding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.9 Gap Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2 STD1LNK60Z-based RCC Control Circuit Components . . . . . . . . . . . . . 12
2.1 MOSFET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.2 R3 Startup Resistor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.3 Optocoupler Power Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.4 R7 Sense Resistor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.5 Constant Power Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.6 Zero Current Sense . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.7 Constant Voltage And Constant Current . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
3 Test Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Appendix A: STD1LNK60Z-based RCC Circuit Schematics . . . . . . . . . . 22
Appendix B: STD1LNK60Z-based RCC Circuit Bill of Materials . . . . . . . 23
4 Revision History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
AN2228 - APPLICATION NOTE
3/26
Figures
Figure 1. STD1LNK60Z-based RCC Printed Circuit Board . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Figure 2. Optocoupler Fly-back Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Figure 3. Optocoupler Forward Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Figure 4. Current Sense Circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Figure 5. CV and CC Curve at 110VAC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Figure 6. CV and CC Curve at 220VAC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Figure 7. Drain To Source Voltage Operation Waveform, 85VAC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Figure 8. Drain To Source Voltage Operation Waveform, 110VAC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Figure 9. Drain To Source Voltage Operation Waveform, 220VAC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Figure 10. Drain To Source Voltage Operation Waveform, 265VAC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Figure 11. RCC Control Circuit Components Schematic (see Section on page 1) . . . . . . . . . . . . . . . 22
Figure 12. STD1LNK60Z-based RCC Schematic (full view) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
AN2228 - APPLICATION NOTE
4/26
Tables
Table 1. Line and Load Regulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Table 2. Efficiency Ratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Table 3. Standby Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Table 4. BOM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
AN2228 - APPLICATION NOTE 1 Power Transformer Design Calculations
5/26
1 Power Transformer Design Calculations
● The specifications:
– VAC = 85~265V
● Line frequency: 50~65Hz
– VO = 5V
– IO = 0.4A
Taking transient load into account, the maximum output current is set as
1.1 Switching Frequency
The system is a variable switching frequency system (the RCC switching frequency varies with
the input voltage and output load), so there is some degree of freedom in switching frequency
selection. However, the frequency must be at least 25kHz to minimize audible noise.
Higher switching frequencies will decrease the transformer noise, but will also increase the
level of switching power dissipated by the power devices.
The minimum switching frequency and maximum duty cycle at full load is expressed as
where the minimum input voltage is 50kHz and 0.5, respectively.
IO max( ) 1.2IO 4.8A= =
fS min( ) 50kHz=
Dmax 0.5=
1 Power Transformer Design Calculations AN2228 - APPLICATION NOTE
6/26
1.2 STD1LNK60Z MOSFET Turn Ratio
The maximum MOSFET drain voltage must be below its breakdown voltage. The maximum
drain voltage is the sum of:
● input bus voltage,
● secondary reflected voltage, and
● voltage spike (caused by the primary parasitic inductance at maximum input voltage).
The maximum input bus voltage is 375V and the STD1LNK60Z MOSFET breakdown voltage is
600V. Assuming that the voltage drop of output diode is 0.7V, the voltage spike is 95V, and the
margin is at least 50V, the reflected voltage is given as:
The Turn Ratio is given as
where,
Vfl = Secondary reflected voltage
V(BR)DSS = MOSFET breakdown voltage
Vmargin = Voltage margin
VDC(max) = Maximum input bus voltage
Vspk = Voltage spike
Vf = Voltage drop
N = Turn Ratio
Np = Primary Winding Turns
Ns = Secondary Winding Turns
Vfl V BR( )DSS Vm inarg VDC max( ) Vspk––– 600 50– 375– 95 80V=–= =
N
Np
Ns
-------
Vfl
VOUT VF+
----------------------------
80
5 0.7+
------------------ 14= = = =
AN2228 - APPLICATION NOTE 1 Power Transformer Design Calculations
7/26
1.3 Primary Current
● Primary Peak Current is expressed as:
● Primary Root Mean Square (RMS) Current is expressed as
where,
Ippk = Primary peak current
VO = Voltage output
IO(max) = Maximum current output
η = Efficiency, equal to 0.7
Dmax = Maximum duty cycle
VDC(min) = Minimum input bus voltage
Iprms = Primary RMS current
1.4 Primary Inductance
Primary Inductance is expressed as
where,
VDC (min) = Minimum Input DC voltage
fs (min) = Minimum switching frequency
Dmax = Maximum duty cycle
fs(min) = Minimum switching frequency
Ippk = Primary peak current
For example, if Primary Inductance is set to 5.2mH, the minimum switching frequency is:
Ippk
2VOIO max( )
ηDmaxVDC min( )
------------------------------------------
2 5× 0.48×
0.7 0.5× 90×
----------------------------------- 0.152A= = =
Iprms Ippk
Dmax
3
-------------- 0.152 0.5
3
-------- 0.062A=×= =
Lp
VDC min( )Dmax
fs min( )Ippk
---------------------------------------
90 0.5×
0.152 50×
---------------------------- 5.92mH= = =
fs min( )
VIN DC min( )Dmax
LpIppk
--------------------------------------------
90 0.5×
0.152 5.2×
----------------------------- 57kHz= = =
1 Power Transformer Design Calculations AN2228 - APPLICATION NOTE
8/26
1.5 Magnetic Core Size
One of the most common ways to choose a core size is based on Area Product (AP), which is
the product of the effective core (magnetic) cross-section area times the window area available
for the windings.
Using a EE16/8 core and standard horizontal bobbin for this particular application, the equation
used to estimate the minimum AP (in cm4) is shown as
where,
Lp = Primary Inductance
Iprms = Primary RMS current
ku = Window utilization factor, equal to:
– 0.4 for margin wound construction, and
– 0.7 for triple insulated wire construction
Bmax = Saturation magnetic flux density
ΔT = Temperature rise in the core
1.6 Primary Winding
1.6.1 Winding Turns
The effective area of an EE16 core is 20.1mm2 (in the core’s datasheet). The number of turns
of primary winding is calculated as
where,
Np = Primary Winding Turns
VDC (min) = Minimum Input DC voltage
Dmax = Maximum duty cycle
fs(min) = Minimum switching frequency
ΔB = Flux density swing
Ae = Effective area of the core
AP
LpIprms
kuBmaxΔT
0.5-----------------------------------
1.316
103×=
Np
VDC min( )Dmax
fs min( )ΔBAe
---------------------------------------
90 0.5×
0.22 20.1× 10 6–× 57× 103×
---------------------------------------------------------------------------- 179= = =
AN2228 - APPLICATION NOTE 1 Power Transformer Design Calculations
9/26
1.6.2 Wire Diameter
The current density (AJ) allowed to flow through the chosen wire is 4A/mm2. The Copper
diameter of primary wire is expressed as
where,
dp = Diameter of primary winding wire
Iprms = Primary RMS current
AJ = Current density
1.6.3 Number of Primary Winding Turns per Layer
The EE16 bobbin window is about 9mm, so if the enamel wiring chosen has a 0.21mm outer
diameter and a 0.17mm Copper diameter, the number of turns per layer is expressed as
where,
Np1 = Layer 1 Primary Winding Turns
Np1 = 42 turns per layer, 4 layers needed
Np = 168 (total turns for all 4 layers)
1.6.4 Practical Flux Swing
Using the Np = 168 value, the practical flux swing is expressed as
where,
ΔB = Flux density swing
VDC(min) = Minimum input bus voltage
Dmax = Maximum duty cycle
fs(min) = Minimum switching frequency
Ae = Effective area of the core
Np = Primary Winding Turns
dp
4Iprms
AJπ
-----------------
4 0.062×
4 π×
----------------------- 0.142mm= = =
Np1
90
0.21
----------- 43= =
ΔB
VDC min( )Dmax
fs min( )AeNp
---------------------------------------
90 0.5×
168 20.1 10 6– 57 103××××
--------------------------------------------------------------------------- 0.234T= = =
1 Power Transformer Design Calculations AN2228 - APPLICATION NOTE
10/26
1.7 Secondary Winding
Using triple insulation wire with a 0.21mm Copper diameter, the number of turns of secondary
winding is expressed as
where,
Ns = Secondary Winding Turns
Np = 168 (total turns for all 4 primary winding layers)
Np = Primary Winding Turns
N = Number of turns per primary winding layer
1.8 Auxiliary Winding
1.8.1 Winding Turns
The MOSFET gate voltage at minimum input voltage should be 10V to conduct the MOSFET
completely. For this application, the optocoupler is powered by the fly-back method, so the
number of auxiliary winding turns of auxiliary winding is calculated as
where,
Vg = Gate voltage
VDC(min) = Minimum input bus voltage
Na = Auxiliary Winding Turns
Np = Primary Winding Turns
Vo = Optocoupler voltage
VF = Fly-back voltage
Ns = Secondary Winding Turns
Ns
Np
N-------
168
14
---------- 12= = =
Vg
VDC min( )Na
Np
-----------------------------------
Vo VF+( )Na
Ns
----------------------------------- 10>+=
AN2228 - APPLICATION NOTE 1 Power Transformer Design Calculations
11/26
1.8.2 Wire Diameter
With the auxiliary winding turns set to 11 (Na =11), the enamel wire chosen has a 0.21mm
outer diameter and a 0.17mm Copper diameter. The Copper diameter of primary wire is
expressed as
1.9 Gap Length
The gap length setting is based on the number of primary winding turns and primary
inductance during the manufacturing process.
Note: In practice, the saturation current value must be ensured. If it is not, then the design
activity should be restarted.
Na
10
VDC min( )
Np
--------------------------
Vo VF+
Ns
----------------------+
-------------------------------------------------------
10
95
168----------
5.7
12
--------+
--------------------------- 10= =>
2 STD1LNK60Z-based RCC Control Circuit Components AN2228 - APPLICATION NOTE
12/26
2 STD1LNK60Z-based RCC Control Circuit
Components
2.1 MOSFET
The STD1LNK60Z (see Appendix A: STD1LNK60Z-based RCC Circuit Schematics on
page 22) has built-in, back-to-back Zener diodes specifically designed to enhance not only the
Electrostatic Discharge (ESD) protection capability, but also to allow for possible voltage
transients (that may occasionally be applied from gate to source) to be safely absorbed.
2.2 R3 Startup Resistor
2.2.1 Minimum Power Dissipation
The startup resistor R3 is limited by its power dissipation because of the high input bus voltage
that moves across it at all times. However, the lower the R3 value is, the faster the startup
speed is. Its power dissipation should be less than 1% of the converter’s maximum output
power. The minimum power dissipation value is expressed as
2.2.2 Maximum Power Dissipation
If R3 is set to 4.2MΩ, its max power dissipation is expressed as
2.2.3 Startup Resistors and the Power Margin
The power rating for an SMD resistor with a footprint of 0805 is 0.125W. Three resistors
(1.2MΩ, 1.2MΩ, and 1.8MΩ, respectively) are placed in series to produce the required startup
resistor value and still have enough power margin.
VDC max( )
2
R3
------------------------------- 1percent
VoIo max( )
η
----------------------------×<
R3
ηVDC max( )
2
0.01 VoIo max( )×
------------------------------------------------
0.7 3752×
0.01 5× 0.48×
------------------------------------------- 4.1 106Ω×= =>
PR3 max( )
VDC max( )
R3
----------------------------
3752
4.2 106×
-------------------------- 0.0335W= = =
AN2228 - APPLICATION NOTE 2 STD1LNK60Z-based RCC Control Circuit Components
13/26
2.3 Optocoupler Power Methods
There are two methods for powering the optocoupler:
● fly-back (see Figure 2), and
● forward (see Figure 3).
The fly-back method was chosen for the RCC application because it provides more stable
power for the optocoupler.
Figure 2. Optocoupler Fly-back Power
Figure 3. Optocoupler Forward Power
C6
C5
+
C7
Q2
3904 U1B
Q1
STD1LNK60Z R3
R7
R9
R10
R11
R11a
R12
AI11829
C6
C5
+
C4C7
Q2
3904 U1B
Q1
STD1LNK60Z R3
R7
R9
R10
R11
R11a
R12
AI11830
2 STD1LNK60Z-based RCC Control Circuit Components AN2228 - APPLICATION NOTE
14/26
2.4 R7 Sense Resistor
2.4.1 Minimum Power Dissipation
Sense resistor R7 is used to detect primary peak current. It is limited by its maximum power
dissipation, which is set to 0.1% of the maximum power. The minimum power dissipation is
expressed as
2.4.2 Maximum Power Dissipation
If R7 is set to 3.4Ω, its maximum power dissipation is expressed as
2.4.3 Sense Resistors and the Power Margin
Two resistors (6.8Ω, and 6.8Ω, respectively) are placed in parallel to produce the required
sense resistor value and still have enough power margin.
Ramp-up voltage (via R7 x Ippk), when added to the DC voltage [(I1+Ie)(R7+R9)] achieves good
output voltage and current regulation (see Figure 4).
Note: The R9 value should be much greater than the R7 value. The minimum primary current,
Ippk, and the maximum current, I2, are in a stead state at the minimum load, while the maximum
Ippk and the minimum I2 are in a stead state at the maximum load.
The cathode current, Ik, of TL431 is limited to 1mA< Ik <100mA, and the maximum diode
current of optocoupler PC817 is 50mA. In order to decrease quiescent power dissipation, the
maximum operation diode current, IF, of PC817 can be set to 10mA.
The Current Transfer Ratio (CTR) of PC817 is about 1:0 at the stead state. As a result, the
maximum operation transistor current Ie of PC817 is also set to 10mA. Initially the effect of I1 is
neglected.
At minimum load,
At maximum load,
where,
VQbe = Cut off voltage; when the voltage between the base and the emitter of transistor Q2
reaches this value, MOSFET Q1 is turned off.
For the purposes of this application design:
R9 = 360Ω, and
C6 = 2.2nF; the role of C6 is to accelerate the MOSFET’s turning OFF.
R7
0.01 VoIo max( )×
ηIprms
2
------------------------------------------------
0.01 5× 0.48×
0.7 0.0622×
--------------------------------------- 8.9Ω= =<
PR7 max( ) Iprms
2R7 0.062
2 3.4× 0.013W= = =
R7IF min( ) R7 R9+( )Ie max( )+ R7 R9+( )Ie max( ) R9Ie max( ) VQbe<≈ ≈
R7Ippk R7 R9+( )Ie min( )+ R7Ippk R9Ie min( ) VQbe>+≈
AN2228 - APPLICATION NOTE 2 STD1LNK60Z-based RCC Control Circuit Components
15/26
Figure 4. Current Sense Circuit
2.5 Constant Power Control
The pole of capacitor C7 can filter the leading edge current spike and avoid a Q2 switch
malfunction. However, it will also lead to delays in primary peak transfer as well as the turning
on of Q2. As a result, different power inputs are produced at different input voltages.
Z1, R11, and R11a provide constant current, which is proportional to the input voltage. This
way, power inputs are basically the same at different input voltages.
Note: They must be carefully selected and adjusted to achieve basically constant power input
at different input voltages. The basic selection process is expressed as
where,
ΔI = Current change
VDC = Input bus voltage
Lp = Primary Inductance
Td = Transfer delay
In relation to the present RCC application,
where,
Na = Auxiliary Winding Turns
Np = Primary Winding Turns
Vo = Optocoupler voltage
VF = Fly-back voltage
Ns = Secondary Winding Turns
Vz1 = Zener diode 1 voltage
C6
C7
Q2
3904 U1B
Z1
R7
R9 R11
R11a
R12
Ippk
I1
Ie
AI11831
ΔI
VDC
Lp
-----------Td=
ΔIR7 R7
VDC
Lp
--------------Td
NaVDC
Np
-----------------------
Na Vo VF+( )
Ns
-------------------------------------- Vz1–+
R7 R9 R11+ +
--------------------------------------------------------------------------------------- R9 R7+( )= =
2 STD1LNK60Z-based RCC Control Circuit Components AN2228 - APPLICATION NOTE
16/26
Note: R11>> R9 >> R7, so in this case, only R11 is used:
Note: Constant control accuracy is not as good if Z1 is not used, and applying it is very simple.
For the purposes of this application design:
C7 = 4.7nF, and
R11 = 36KΩ.
2.6 Zero Current Sense
C5 blocks DC current during starting up and allow charge to be delivered from the input voltage
through starting up resistor until MOSFET turns on for the first time. The MOSFET C5 and input
capacitor Ciss form a voltage divider at the MOSFET gate, so C5 value should be ten times
more than that of Ciss. This decreases the MOSFET (full) turn-on delay. In this case, C5 =
6.8nF.
R10 limits power dissipation of zener diode inside the MOSFET. The selection process is
expressed as
where,
VDC(max) = Maximum input bus voltage
Na = Auxiliary Winding Tur
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