No Input Electrolytic Capacitor Required, IEC61000-3-2 Class-C
Isolated LED Driver IC
LC5540LD Series
Data Sheet
Description
Package
The LC5540LD series are isolated LED drivers in
which a power MOSFET and a control IC are highly
integrated.
The IC provides the systems that can comply with the
harmonics standard (IEC61000-3-2 Class C) in all
conditions, including a light load condition. These
systems, moreover, can be achieved without an input
electrolytic capacitor.
The IC employs the average current and quasi-resonant
controls: the average current control realizes high power
factors, whereas the quasi-resonant control contributes to
high efficiency and low noise.
Having a rich set of protection features, the IC can
provide and more cost-effective power supply systems
with fewer external components.
DIP8
Not to scale
Selection Guide
● Electrical Characteristics
Part Number
VDSS (min.)
LC5545LD
fOSC (typ.)
tON(MAX)
(typ.)
72 kHz
9.3 µs
60 kHz
11.2 µs
650 V
Features
● Built-in On-time Control Circuit
(High Power Factor Achieved by Average Current
Control)
● Built-in Startup Circuit
(Reduced Numnber of External Components)
● Soft Start Function
(Startup Stress Reduction for Power MOSFET and
Secondary Rectifier Diode)
● Bias Assist Function
(Improved Startup Performance, VCC Voltage Drop
Suppresion in Operation, Reduced Capacitance of
VCC Pin Capacitor)
● Leading Edge Blanking Function
● Built-in Maximum On-time Limitation Function
● Protections Include:
Overcurrent Protection (OCP): Pulse-by-Pulse
Overvoltage Protection (OVP): Latched Shutdown
Overload Protection (OLP): Latched Shutdown
Thermal Shutdown (TSD): Latched Shutdown
LC5546LD
● Power MOSFET On-resistance and Output Power
POUT*
RDS(ON)
(max.)
230 VAC
85 VAC to
265 VAC
LC5545LD
3.95 Ω
13 W
10 W
LC5546LD
1.9 Ω
20 W
16 W
Part Number
* Based on the thermal ratings; the allowable maximum output
powers can be up to 120% to 140% of the rated values.
However, the maximum output powers may be limited in an
application with a low output voltage or according to a
maximum duty cycle for designing a transformer.
Applications
● LED Lighting Equipment
● LED Bulbs
LC5540LD-DSE Rev.2.0
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Mar. 05, 2020
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© SANKEN ELECTRIC CO., LTD. 2011
1
LC5540LD Series
Contents
Description ------------------------------------------------------------------------------------------------------ 1
Contents --------------------------------------------------------------------------------------------------------- 2
1. Absolute Maximum Ratings----------------------------------------------------------------------------- 3
2. Electrical Characteristics -------------------------------------------------------------------------------- 4
2.1. Electrical Characteristics of Control Parts----------------------------------------------------- 4
2.2. Electrical Characteristics of Power MOSFET------------------------------------------------- 5
3. Block Diagram --------------------------------------------------------------------------------------------- 6
4. Pin Configuration Definitions--------------------------------------------------------------------------- 6
5. Typical Application --------------------------------------------------------------------------------------- 7
6. Physical Dimensions -------------------------------------------------------------------------------------- 8
7. Marking Diagram ----------------------------------------------------------------------------------------- 8
8. Operational Description --------------------------------------------------------------------------------- 9
8.1. Startup Operation ----------------------------------------------------------------------------------- 9
8.1.1. Startup Time ----------------------------------------------------------------------------------- 9
8.1.2. Undervoltage Lockout (UVLO) ------------------------------------------------------------ 9
8.1.3. Bias Assist Function--------------------------------------------------------------------------- 9
8.1.4. Auxiliary Winding -------------------------------------------------------------------------- 10
8.1.5. Soft Start Function -------------------------------------------------------------------------- 11
8.1.6. Operation Mode at Startup---------------------------------------------------------------- 11
8.2. On-time Control Operation --------------------------------------------------------------------- 12
8.3. Quasi-resonant Operation and Bottom-on Timing ----------------------------------------- 13
8.3.1. Quasi-resonant Operation ----------------------------------------------------------------- 13
8.3.2. Bottom-on Timing Setup ------------------------------------------------------------------- 13
8.3.3. BD Blanking Time--------------------------------------------------------------------------- 16
8.4. Overvoltage Protection (OVP) ------------------------------------------------------------------ 16
8.4.1. VCC Pin Overvoltage Protection (VCC_OVP) ---------------------------------------- 16
8.4.2. OCP Pin Overvoltage Protection (OCP_OVP) ---------------------------------------- 17
8.4.3. OVP Pin Overvoltage Protection (OVP_OVP) ---------------------------------------- 17
8.5. Overload Protection (OLP)---------------------------------------------------------------------- 17
8.6. Overcurrent Protection (OCP) ----------------------------------------------------------------- 18
8.6.1. OCP Detection Method and Leading Edge Blanking Function -------------------- 18
8.6.2. Input Compensation Function ------------------------------------------------------------ 19
8.6.3. OCP Threshold Voltage with or without Compensation Circuit ------------------ 20
8.6.4. Determining OCP Input Compensation Circuit Component Values ------------- 21
8.6.5. Reference Design for OCP Input Compensation Circuit with Universal Input - 21
8.7. Thermal Shutdown (TSD) ----------------------------------------------------------------------- 22
8.8. Maximum On-time Limitation Function ----------------------------------------------------- 23
9. Design Notes ---------------------------------------------------------------------------------------------- 24
9.1. External Components ---------------------------------------------------------------------------- 24
9.2. Transformer Design ------------------------------------------------------------------------------ 24
9.3. Trace and Component Layout Design -------------------------------------------------------- 26
Important Notes ---------------------------------------------------------------------------------------------- 28
LC5540LD-DSE Rev.2.0
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LC5540LD Series
1.
Absolute Maximum Ratings
Current polarities are defined as follows: current going into the IC (sinking) is positive current (+); current coming out
of the IC (sourcing) is negative current (−).
Unless otherwise specified, TA = 25 °C.
Parameter
Pin
Symbol
Conditions
Rating
Unit
Remarks
Drain Current
Avalanche Energy
8–1
8–1
IDPEAK
EAS
Single pulse
Single pulse,
VDD = 99 V,
L = 20 mH,
ILPEAK = 2.0 A
Single pulse,
VDD = 99 V,
L = 20 mH,
ILPEAK = 2.7 A
2.5
4.0
A
47
LC5546LD
LC5545LD
mJ
86
LC5546LD
VCC Pin Voltage
2–1
VCC
35
V
OCP Pin Voltage
3–1
VOCP
−2.0 to 5.0
V
FB Pin Voltage
4–1
VFB
−0.3 to 7.0
V
OVP Pin Voltage
6–1
VOVP
−0.3 to 5.0
V
Power MOSFET Power
Dissipation
8–1
PD1
0.97
W
Operating Ambient
Temperature
Storage Temperature
―
TOP
−55 to 125
°C
―
Tstg
−55 to 125
°C
Channel Temperature
―
Tch
150
°C
LC5540LD-DSE Rev.2.0
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LC5545LD
When mounted on
a board with a size
of 15 mm × 15 mm
3
LC5540LD Series
2.
Electrical Characteristics
Current polarities are defined as follows: current going into the IC (sinking) is positive current (+); current coming out
of the IC (sourcing) is negative current (−).
2.1.
Electrical Characteristics of Control Parts
Unless specifically noted, TA = 25 °C, VCC = 20 V.
Parameter
Pin
Symbol
Min.
Typ.
Max.
Unit
Remarks
Power Supply Startup Operation
Operation Start Voltage
2–1
VCC(ON)
13.8
15.1
17.3
V
Operation Stop Voltage(1)
2–1
VCC(OFF)
8.4
9.4
10.7
V
Circuit Current in Operation
Startup Circuit Operation
Voltage
Startup Current
Startup Current Biasing
Threshold Voltage(1)
Normal Operation
2–1
ICC(ON)
―
―
4.7
mA
8–1
VSTARTUP
18
21
24
V
2–1
ICC(STARTUP)
−8.5
−4.0
−1.5
mA
2–1
VCC(BIAS)
9.5
11.0
12.5
V
PWM Operation Frequency
8–1
fOSC
60
72
84
50
60
70
Maximum On-time
8–1
tON(MAX)
8.0
9.3
11.2
9.0
11.2
13.4
4–1
VFB(MIN)
0.50
0.85
1.20
V
4–1
IFB(MAX)
−40
−25
−10
µA
3–1
tON(LEB)
―
600
―
ns
3–1
VBD(TH1)
0.14
0.24
0.34
V
3–1
VBD(TH2)
0.11
0.16
0.21
V
3–1
VOCP
−0.66
−0.60
−0.54
V
3–1
IOCP
−120
−40
−10
µA
3–1
VBD(OVP)
2.2
2.6
3.0
V
4–1
VFB(OLP)
4.1
4.5
4.9
V
6–1
VOVP(OVP)
1.6
2.0
2.4
V
2–1
VCC(OVP)
28.5
31.5
34.0
V
―
TJ(TSD)
135
―
―
°C
FB Pin Control Minimum
Voltage
Maximum Feedback Current
Leading Edge Blanking Time
Quasi-resonant Operation
Threshold Voltage 1
Quasi-resonant Operation
Threshold Voltage 2
Protection Function
Overcurrent Detection
Threshold Voltage
OCP Pin Source Current
OCP Pin OVP Threshold
Voltage
OLP Threshold Voltage
OVP Pin OVP Threshold
Voltage
VCC Pin OVP Threshold
Voltage
Thermal Shutdown Operating
Temperature
(1)
kHz
µs
VCC = 13 V
LC5545LD
LC5546LD
LC5545LD
LC5546LD
Always in the condition of VCC(BIAS) > VCC(OFF).
LC5540LD-DSE Rev.2.0
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4
LC5540LD Series
2.2.
Electrical Characteristics of Power MOSFET
Unless otherwise specified, TA = 25 °C.
Parameter
Pin
Drain-to-Source Breakdown
8–1
Voltage
Drain Leakage Current
8–1
Symbol
Min.
Typ.
Max.
Unit
VDSS
650
―
―
V
IDSS
―
―
300
µA
―
―
3.95
―
―
1.9
―
―
250
―
―
400
―
―
42
―
―
35.5
On-resistance
8–1
RDS(ON)
Switching Time
8–1
tf
―
θch-c
Thermal Resistance(1)
(1)
Ω
ns
°C/W
Remarks
LC5545LD
LC5546LD
LC5545LD
LC5546LD
LC5545LD
LC5546LD
LC5545LD
LC5546LD
Refers to the thermal resistance between the channel of the power MOSFET and the case. The case temperature, TC,
is measured at the center of the branding side on the case.
LC5540LD-DSE Rev.2.0
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5
LC5540LD Series
3.
Block Diagram
VCC
②
⑧ D/ST
STARTUP
TSD
UVLO
Reg
DRV
Bias
OVP ⑥
OVP
① S/GND
S
R Q
OCP ③
Bottom
Detection
NF ⑤
OCP
OLP
OSC
LEB
Feedback
Control
④ FB
Reg
4.
(1)
Pin Configuration Definitions
S/GND
1
8
VCC
2
7
OCP
3
6
OVP
FB
4
5
NF
D/ST
Pin
Number
1
Pin
Name
S/GND
2
VCC
3
OCP
4
FB
5
NF
6
OVP
7
―
8
D/ST
Description
Power MOSFET source and control ground
Power supply voltage input for control part and
OCP pin overvoltage protection signal input
Overcurrent protection signal input, quasiresonant signal input, and overvoltage protection
signal input
Feedback signal input and overload protection
signal input
(No function assigned)(1)
OVP pin overvoltage protection signal input
(Pin removed)
Power MOSFET drain and startup current input
Should be connected to the S/GND pin (pin 1) with a minimum-length trace for stable operations.
LC5540LD-DSE Rev.2.0
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6
C1
ROCP
1
8
S/GND
D/ST
LC5540LD-DSE Rev.2.0
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Mar. 05, 2020
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VCC
R3
C5
2
LC554xLD
U1
L1
OVP
5
3
C6
OCP
FB
R7
L2
PC1
S/GND
D4
D2
NF
D7
4
Control
Block
6
D3
D1
C4
C7
R21 C18 DZ3
R6
PC2
C2
D5
C8
R4
D6
D9
R1
R5
C17
T1
C9
D8
C11
C10
PC2
DZ2
R9
R8
DZ1
R10
C12
R12
PC1
Q1
U2
C14
+
-
C13 R17
R11
R13
R16
R15
R14
C15
R19 R20 C16
R18
LED
5.
C3
VAC
F1
LC5540LD Series
Typical Application
Figure 5-1. Typical Application
7
LC5540LD Series
6.
Physical Dimensions
● DIP8
9.4±0.3
8
6.5 ±0.2
5
1.0
+0.3
-0.05
4
+0.3
1.52 -0.05
1
3.3 ±0.2
4.2 ±0.3
3.4 ±0.1
7.5 ±0.5
(7.6 typ.)
0.2 +0.
5
1
-0.
05
2.54 typ.
0 to 15°
0 to 15°
0.89 typ.
0.5±0.1
NOTES:
- Dimensions in millimeters
- Pb-free (RoHS compliant)
7.
Marking Diagram
8
LC5 54x
Part Number
S KY MD L
Lot Number:
Y is the last digit of the year of manufacture (0 to 9)
1
M is the month of the year (1 to 9, O, N, or D)
D is the period of days represented by:
1: the first 10 days of the month (1st to 10th)
2: the second 10 days of the month (11th to 20th)
3: the last 1 –11 days of the month (21st to 31st)
Control Number
LC5540LD-DSE Rev.2.0
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LC5540LD Series
Current polarities are defined as follows: current going
into the IC (sinking) is positive current (+); current coming
out of the IC (sourcing) is negative current (−). All the
characteristic values given in this section are typical
values, unless they are specified as minimum or maximum.
8.1.
Startup Operation
8.1.1. Startup Time
Figure 8-1 shows the VCC pin peripheral circuit. The
IC has the startup circuit connected to the D/ST pin. When
the D/ST pin voltage reaches the Startup Circuit Operation
Voltage, VSTARTUP = 21 V, the startup circuit starts to
operate. During the startup process, the constant current,
ICC(STARTUP) = −4.0 mA, charges C4 connected to the VCC
pin. When the VCC pin voltage increases to VCC(ON) = 15.1
V, the IC starts to operate. After that, the startup circuit is
automatically cut off to eliminate power dissipation by the
startup circuit.
The startup time is determined by the capacitor C4. Use
a ceramic or film capacitor for C4, and set its value to 0.22
μF to 22 μF when a general power supply specification is
to be applied. The approximate value of the startup time
can be calculated by the following equation:
t START ≒ C4 ×
VCC(ON) − VCC(INT)
|ICC(STARTUP) |
.
voltage and the circuit current, ICC. When the VCC pin
voltage reaches the Operation Start Voltage,
VCC(ON) = 15.1 V, the control circuit starts to operate, then
the circuit current increases. When the VCC pin voltage
decreases to VCC(OFF) = 9.4 V, the control circuit operation
is stopped by the undervoltage lockout (UVLO) circuit,
and is put back to the state before startup. After the IC
starts switching operation, the rectified auxiliary winding
voltage is supplied to the VCC pin. The auxiliary winding
voltage, VD, is presented in Figure 8-1. In the variation
range of the input and output specifications, the winding
turns of the auxiliary winding, D, should be adjusted so
that the VCC pin voltage falls within the range defined by
Equation (2). The reference voltage across an auxiliary
winding is about 20 V.
VCC(BIAS)MAX < VCC < VCC(OVP)MIN ,
that is, 12.5 V < VCC < 28.5 V .
(2)
Circuit Current, ICC
ICC(ON) = 4.7 mA
(max.)
Start
Operational Description
Stop
8.
(1)
9.4 V
VCC(OFF)
Where:
tSTART is the startup time (s), and
VCC(INT) is the initial VCC pin voltage (V).
VCC Pin
15.1 V Voltage
VCC(ON)
Figure 8-2. VCC Pin Voltage vs. Circuit Current, ICC
L2
T1
VAC
C2
8
D/ST
VCC
S/GND
2
1
P
D5
R1
C4
VD
D
LC554xLD
Figure 8-1. VCC Pin Peripheral Circuit
8.1.2. Undervoltage Lockout (UVLO)
Figure 8-2 shows the relationship of the VCC pin
8.1.3. Bias Assist Function
Figure 8-3 shows a VCC pin voltage behavior during
the startup period. When the VCC pin voltage decreases
to the Startup Current Biasing Threshold Voltage,
VCC(BIAS) = 11.0 V, the bias assist function is activated.
While the bias assist function is operating, the VCC pin
voltage is kept almost constant because a decrease in the
VCC pin voltage is regulated by a startup current from the
startup circuit. While the output voltage rises, the VCC pin
voltage increases to the target voltage with the slope
determined by the voltage drop caused by increasing IC
current and the voltage rise across the auxiliary winding,
VD, which is proportional to the output voltage.
The bias assist function reduces C4 capacitance. In
addition, the response time of the OVP function can be
shortened because the VCC pin voltage rise along with the
output voltage rise also becomes faster. To avoid a startup
failure, be sure to check the startup operation based on
operations in an actual application, and to adjust a circuit
LC5540LD-DSE Rev.2.0
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LC5540LD Series
constant including C4.
VCC Pin Voltage
IC startup
Startup succeeded
Target voltage
VCC(ON)
VCC(BIAS)
Output voltage rising
Bias assist period
VCC(OFF)
Startup failure
Time
Figure 8-3. VCC Pin Voltage at Startup
8.1.4. Auxiliary Winding
In actual operation of power supply circuits, the
transient surge voltage that occurs at power MOSFET
turn-off induces a voltage across the auxiliary winding, D.
C4 is charged at the peak of the induced voltage. The surge
voltage increases as the output current, IOUT increases.
Thus, the VCC pin voltage increases as IOUT increases, as
shown in Figure 8-4. When the VCC pin voltage increases
to VCC(OVP) = 31.5 V or more, the VCC pin overvoltage
protection (VCC_OVP) is activated. To prevent the C4
peak charging, add R1 with a value ranging from several
ohms to several ten ohms, in series with D5 (see Figure
8-5). The optimal value of R1 should be determined with
a transformer set for an actual application, because the
variation of the VCC pin voltage depends on the
transformer’s structural design.
VCC Pin Voltage
In the following cases, the VCC pin voltage is more
susceptible to the effect of IOUT. Care must be taken in the
placement of the auxiliary winding, D, when designing
your transformer.
● When poor coupling between the primary and
secondary windings causes high surge voltage in the
conditions such as low output voltage and high output
current.
● When poor coupling between the auxiliary winding, D,
and the secondary winding causes the auxiliary
winding voltage to be susceptible to the effect of surge
voltage variation.
Figure 8-6 shows two transformer design examples for
minimizing the impact of VCC surge voltage, with
consideration given to the placement of the auxiliary
winding, D (in which triple insulation wires are used for
the primary or secondary winding, but no margin tapes
used).
● Winding Structural Example (a):
Separate the auxiliary winding, D, from the primary
windings, P1 and P2 (P1 and P2 are two separated primary
windings).
● Winding Structural Example (b):
Improve the coupling between the secondary winding,
S1, and the auxiliary winding, D.
P1 S1 P2 S1
D
Without R1
Winding Structural Example (a)
With R1
Output Current, IOUT
Figure 8-4. IOUT vs. VCC with or without R1
P1 S1
D5
2
VCC
S1 P2
With R1
C4
LC554xLD
D
R1
D
S/GND
1
Figure 8-5. VCC Pin Peripheral Circuit to Reduce
Effect of Output Current
Winding Structural Example (b)
Where:
P1 and P2 are the primary windings,
S1 is the secondary winding, and
D is the auxiliary winding.
Figure 8-6. Winding Structural Examples
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LC5540LD Series
8.1.5. Soft Start Function
8.1.6. Operation Mode at Startup
Figure 8-7 shows the operation waveforms during the
startup. The soft start function reduces the voltage and
current stress of the power MOSFET and the secondary
rectifier diode during the startup period. When the FB pin
voltage reaches VFB(MIN) = 0.85 V, the IC shifts into the
soft start operation. The soft start operation continues until
the output current becomes constant, as shown in Figure
8-7. During the soft start operation, the output power
gradually increases. To avoid a startup failure, be sure to
check waveforms during the soft start operation and to
adjust the power supply circuit so that the IC starts with
the following conditions.
Figure 8-7 shows the operation mode during the startup.
After the startup, when the FB pin voltage reaches
VFB(MIN) = 0.85 V, the IC starts a PWM switching
operation. The LC5540LD series requires different PWM
operation frequencies, fOSC, as follows: 72 kHz for the
LC5545LD, and 60 kHz for the LC5546LD.
● The VCC pin voltage maintains over the Operation
Stop Voltage, VCC (OFF).
● The output current reaches the target value before the
overload protection (OLP) is activated (i.e., the FB pin
voltage is less than VFB(OLP) = 4.5 V).
When the auxiliary winding voltage rises along with the
output voltage, the positive voltage on the OCP pin also
rises. When the OCP pin voltage reaches VBD(TH1) = 0.24 V
or more, the IC shifts into the quasi-resonant operation.
Figure 8-8 shows the OCP pin voltage waveforms on an
expanded time scale when the IC shifts into quasi-resonant
operation mode from PWM operation (point A in Figure
8-7).
Soft start period
FB Pin Voltage
IC startup
VFB(MIN)
S/GND
VCC Pin Voltage
VCC(BIAS)
S/GND
Constant output current control
Output Current, IOUT
(Output Load
Current)
Target value
GND(I OUT)
PWM operation
Quasi-resonant (QR) operation
Drain Current, ID
S/GND
Time
A
Figure 8-7. Soft Start Operation Waveforms at Startup
Quasi-resonant Signal,
VBD
VBD(TH1)
PWM operation
Quasi-resonant (QR) operation
S/GND
Drain Current, I D
GND(ID)
Time
Figure 8-8. OCP Pin Voltage Waveforms on Expanded Time Scale (Point A)
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LC5540LD Series
8.2.
On-time Control Operation
Figure 8-9 shows the peripheral circuit of the FB pin,
whereas Figure 8-10 shows the on-time control. The IC
controls an output current with the voltage mode, which
controls an on-time depending on an output load, and the
average current control. In the average current control
shown in Figure 8-10, the IC compares the voltage drop
of the secondary-side constant current detection resistor
with the reference voltage by the secondary operational
amplifier. Then, the output of the secondary operational
amplifier is run through the optocoupler PC1 to the FB
pin, and its output is averaged at the FB pin. The IC
compares the averaged voltage at the FB pin with the
internal oscillator (OSC) output by the internal FB
comparator to control the on-time. The OSC indicates the
oscillator circuit to control operations such as the PWM
operation frequency, the quasi-resonant oscillation, and
the maximum on-time limit.
The recommended value of capacitor, C6, connected to
the FB pin is approximately 2.2 μF.
The IC controls the constant output current according
to loads as follows:
● When the output current becomes less than the
target value
When the output current decreases to less than the
target value, the power supply circuit operates as follows:
The voltage drop across the resistor that is for constant
current detection in the secondary side becomes low.
Therefore, the current through the optocoupler decreases.
This leads to a decrease in the primary-side feedback
current. Thus, the averaged FB pin voltage and on-time
increase, and the output current increases.
● When the output current becomes greater than the
target value
When the output current increases to greater than the
target value, the power supply circuit operates opposite to
the above as follows: The voltage drop across the resistor
that is for constant current detection in the secondary side
becomes high. Therefore, the current through the
optocoupler increases. This leads to an increase in the
primary-side feedback current. Thus, the averaged FB pin
voltage and on-time decrease, and the output current
decreases.
LC554xLD
FB pin voltage
-
OSC
+
4
FB
S/GND
C6
PC1
LED
1
+
Constant current
detection resistor
OSC
-
FB
+
FB pin
voltage
Gate on-time
Drain current
Figure 8-10. On-time Control
Figure 8-11 shows the average input current waveform.
The averaged FB pin voltage becomes constant. Since
duty cycle is controlled according to the VIN voltage (C2
voltage in Figure 5-1), an averaged input current becomes
a sine waveform. This yields a high power factor.
FB Pin Voltage
VIN
S/GND
Drain current
Averaged input
current
LC554xLD
Figure 8-11. Averaged Input Current Waveform
S/GND
FB
OCP
4
3
1
D7
R7
R3
ROCP
PC1
C6
Figure 8-9. FB Pin Peripheral Circuit
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LC5540LD Series
8.3.
Quasi-resonant Operation and Bottomon Timing
Half cycle of the free oscillation tONDLY
t ONDLY ≒ L P C V
8.3.1. Quasi-resonant Operation
VFLY
Figure 8-12 shows the circuit of a flyback converter.
The flyback converter is a system which transfers the
energy stored in the transformer to the secondary side
when the primary-side power MOSFET is turned off. The
MOSFET stays in the off state even after the energy is
completely transferred to the secondary side. During the
off state, the voltage between the drain and source, VDS,
begins free oscillation based on the primary inductance,
LP, and the capacitance between the drain and source, CV.
The quasi-resonant operation provides VDS bottom-on
operation that the power MOSFET turns on at the lowest
voltage point of VDS free oscillation. Figure 8-13 shows
an ideal VDS waveform during the bottom-on operation.
The bottom-on operation reduces switching loss and
switching noise. This results in a power supply with high
efficiency and low noise.
VIN
VDS 0
Bottom point
IOFF 0
ID 0
tON
Figure 8-13. Ideal Bottom-on Operation Waveforms
(Power MOSFET Turns On at the Lowest Voltage of
VDS Waveform)
VF
NP T1
VFLY
ID
VIN
NS
D8
LP
P
S
IOFF
VOUT
C9
C2
CV
Figure 8-12. Basic Flyback Converter Circuit
The symbols in Figure 8-12 represent as follows:
VIN is the input voltage,
VFLY is the flyback voltage calculated by
VFLY =
NP
× (VOUT + VF ) ,
NS
NP is the number of turns in the primary winding,
NS is the number of turns in the secondary winding,
VOUT is the output voltage,
VF is the forward voltage drop of the secondary
rectifier diode,
ID is the drain current of the power MOSFET,
IOFF is the current running through the secondary
rectifier diode during the power MOSFET offperiod,
CV is the voltage resonant capacitor, and
LP is the primary inductance.
8.3.2. Bottom-on Timing Setup
Figure 8-14 shows an OCP pin peripheral circuit,
Figure 8-15 shows the waveform of an auxiliary winding
voltage. The OCP pin detects the auxiliary winding
voltage, which is synchronized with the VDS waveform,
through a delay circuit (D6, R4, C7, and D7 in Figure
8-14). The bottom-on operation is controlled by the
delayed signal. The delay time, tONDLY, is the period from
when VDS free oscillation starts to when the power
MOSFET turns on. The delay time is then adjusted by the
delay circuit. During the power MOSFET turn-off, the
positive voltage is supplied through the delay circuit to
the OCP pin from auxiliary winding. This input signal to
the OCP pin is defined as a quasi-resonant signal, VBD.
When the VBD increases to the Quasi-resonant
Operation Threshold Voltage 1 (VBD(TH1) = 0.24 V) or
more after the power MOSFET turns off, the IC maintains
the power MOSFET in an off state. After that, when the
VBD decreases to the Quasi-resonant Operation Threshold
Voltage 2 (VBD(TH2) = 0.16 V) or less, the IC turns on the
power MOSFET and automatically raise the threshold
voltage to VBD(TH1) to prevent malfunctions caused by the
noise added to the OCP pin.
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LC5540LD Series
T1
VIN
P
VBD(PK) = 1.5 V to 2.0 V, and tQR ≥ 1.2 μs. These
conditions must be fulfilled within the power supply input
and output ranges (see Figure 8-16).
C2
R1
D5
Vrev1
C4
C3
8
D/ST
Quasi-resonant
Signal
VBD
VIN VFLY
Clamping
snubber circuit
D
Vfw1
VBD(TH2)
tQR 1.2 µs
R4
Forward
voltage
Flyback voltage
D7
Figure 8-16. The Effective Pulse Width of QuasiResonant Signal
3
LC554xLD
S/GND
1
VBD(TH1)
D6
2
VCC
OCP
Recommended V BD(PK) value
= 1.5 V to 2.0 V ( 2.6 V)
C5
C7
R3
R3, R4, C5, and C7 should be set as follows:
VBD
ROCP
Figure 8-14. OCP Pin Peripheral Circuit
● R3
100 Ω to 330 Ω (reference value)
● R4
R4 should be adjusted so that VBD(PK) meets the
following conditions:
- VBD(PK) ≥ VBD(TH1) under the lowest VCC pin voltage
condition in the ranges of the input and output
specifications.
- VBD(PK) < 2.6 V under the highest VCC pin voltage
condition in normal operation. 2.6 V is the OCP Pin
OVP Threshold Voltage, VBD(OVP).
Auxiliary Winding Voltage
VD
Vrev1
Because ROCP is much less than R3, R4 is calculated as
follows:
0
Vfw1
R4 =
Quasi-resonant Signal
VBD
tON
VBD(TH1)
VBD(TH2)
(VCC − VBD(PK) − 2 × VF ) × R3
.
VBD(PK)
(3)
For example, if the VCC = 16 V, R3 = 22 Ω,
VBD(PK) = 1.5 V, and the forward voltage drop (VF) of D6
and D7 = 0.8 V, R4 is approximately 1.89 kΩ. Hence, R4
is 1.8 kΩ in the E12 series.
If tQR < 1.2 µs, tQR should be set to 1.2 µs or more
through the following adjustments:
0
Figure 8-15. Auxiliary Winding Voltage
The delay time, tONDLY is determined by the constant
values of the delay circuit. The values should be adjusted
so that the power MOSFET turns on at the bottom of the
VDS waveform. The peak voltage of the quasi-resonant
signal, VBD(PK), and the effective pulse width of the quasiresonant signal, tQR, should be adjusted as follows with
the variations of R3 and R4 taken into account:
- To raise VBD(PK), increase the R3value.
- To raise VBD(PK), reduce the R4 value.
- To increase the free oscillation period, increase the
capacitance of the voltage resonant capacitor, C3.
(The greater the C3 value, the higher the switching
loss; therefore, be sure to check that the IC
temperature ranges within the absolute maximum
rating when increasing the C3 value.)
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● C5
100 pF to 470 pF (reference value)
- When the power MOSFET turn-on is earlier than the
VDS bottom point at the VDS(PEAK) as Figure 8-17 (A):
Confirm the VDS bottom point at the initial constant,
and then increase the value of C7 gradually until the
power MOSFET turn-on point matches the VDS
bottom point.
- When the power MOSFET turn-on is later than the
VDS bottom point at the VDS(PEAK) as Figure 8-17 (B):
Confirm the VDS bottom point at the initial constant,
and then increase the value of C7 gradually until the
power MOSFET turn-on point matches the VDS
bottom point.
● C7
The delay time, tONDLY, is adjusted by the value of C7.
To set the ideal bottom-on of VDS (see Figure 8-13), adjust
C7 value with measuring actual waveforms under the
maximum AC input voltage and the maximum output
power. Measurement waveforms are the power MOSFET
drain voltage, VDS, the quasi-resonant signal, VBD, and the
drain current, ID. A measurement point is the maximum
amplitude of VDS waveform, VDS(PEAK). An initial constant
for C7 is about 1000 pF.
Commercial frequency (50Hz/60Hz)
2 × Commercial frequency
VDS(PEAK)
VIN
(B) When the power MOSFET turn-on is later than
the VDS bottom point
Free oscillation
frequency, fR
(A) When the power MOSFET turn-on is earlier
than the VDS bottom point
Free oscillation frequency, fR
Advanced turn-on point
fR ≒
Delayed turn-on point
1
Bottom
point
IOFF 0
Auxiliary
Winding Voltage
VD
2 L P CV
VDS 0
Bottom
point
VBD(TH1)
OCP Pin 0
Voltage
1
2 L P CV
VDS 0
ID 0
fR ≒
IOFF 0
ID 0
tON
VBD(TH2)
VBD(TH1)
OCP Pin 0
Voltage
tON
VBD(TH2)
Auxiliary
Winding Voltage
VD
Figure 8-17. VDS Waveforms at the VDS(PEAK)
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LC5540LD Series
8.4.
8.3.3. BD Blanking Time
Figure 8-18 shows the normal and inappropriate
waveforms of the OCP pin voltage. An inappropriate
operation is caused by poor coupling between the primary
winding and the secondary winding of the transformer. A
transformer with NP >> NS (e.g., low output power
design) has poor coupling and large leakage inductance.
NP and NS indicate the number of turns of the primary
winding and secondary winding, respectively. The poor
coupling causes high surge voltage ringing at the OCP pin
through the auxiliary winding when the power MOSFET
turns off. The OCP pin has a blanking period of 250 ns
(max.). In this period, the IC does not detect the OCP pin
input signal (i.e., quasi-resonant signal). If the period
when a surge voltage is being added to the OCP pin
becomes longer than the blanking period, the power
MOSFET can start switching at a high frequency because
the IC responds to the surge. As a result, power
dissipation in the internal power MOSFET increases.
When the junction temperature reaches its absolute
maximum rating, the power MOSFET can be damaged.
When such high frequency operation occurs, the
following adjustments are required:
● Add C5 of Figure 8-14 near the IC with minimizing a
trace length between the OCP and S/GND pins.
● Redesign the PCB so that the trace of the OCP pin to
the S/GND pin is separated from large current traces.
● Redesign the transform so that the coupling of the
primary winding and the auxiliary winding is poor.
● Adjust the value of a clamping snubber circuit.
To measure any surge voltage waveform on the OCP
pin correctly, connect a test probe as short as possible to
the OCP pin and the S/GND pin.
Normal waveform
(well coupled)
Overvoltage Protection (OVP)
The IC has the overvoltage protection (OVP) for the
VCC, OCP, and OVP pins. When these OVPs are
activated, the IC stops switching operation in a latched
state and the VCC pin voltage decreases. When it
decreases to VCC(BIAS) = 11.0 V, the bias assist function is
activated, and the startup current is supplied to the VCC
pin. The VCC pin voltage then maintains at
VCC(OFF) = 9.4 V or more, thus allowing the latched state
to maintain.
To release the latched state, turn off the input voltage
and decrease the VCC pin voltage below VCC(OFF).
8.4.1. VCC Pin Overvoltage Protection
(VCC_OVP)
Figure 8-19 shows operational waveforms of the VCC
pin overvoltage protection (VCC_OVP). When the
voltage across the VCC and S/GND pins reaches
VCC(OVP) = 31.5 V or more, the VCC_OVP is activated,
and then the IC stops switching operation in a latched
state. Because the VCC pin voltage is proportional to the
output voltage, it can be used to detect an output
overvoltage event such as an open load condition. The
approximate secondary output voltage at VCC_OVP
activation, VOUT(OVP), can be calculated by Equation (4)
below:
VOUT(OVP) =
VOUT
× 31.5 .
VCC
(4)
Where VOUT is the secondary output voltage in normal
operation, and VCC is the VCC pin voltage in normal
operation.
VCC Pin Voltage
Latched shutdown
VCC(OVP)
Input voltage off
Latch
release
VBD(TH1)
VBD(TH2)
0
VCC(BIAS)
VCC(OFF)
FB Pin Voltage
Inappropriate waveform
(poorly coupled)
VFB(MIN)
VBD(TH1)
VBD(TH2)
0
Drain Current
ID
BD blanking time 250 ns(max.)
Figure 8-18. OCP Pin Voltage Waveforms Differed by
Coupling Conditions of Transformer
Figure 8-19. VCC_OVP Operational Waveforms
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LC5540LD Series
8.4.2. OCP Pin Overvoltage Protection
(OCP_OVP)
Figure 8-20 shows operational waveforms of the OCP
pin overvoltage protection (OCP_OVP). When the
voltage across the OCP and S/GND pins reaches
VBD(OVP) = 2.6 V or more, the OCP_OVP is activated.
Then, the IC stops switching operation in a latched state.
The OCP pin input voltage must be less than its rated
maximum voltage of 5 V. The OCP pin overvoltage will
occur due to improper settings, such as an improper
setting of a quasi-resonant signal (VBD), or a poor
coupling of the transformer between the primary and
secondary winding.
VCC Pin Voltage
VCC(BIAS)
Input voltage off
Latch
release
VCC(OFF)
0
OCP Pin Voltage
Latched shutdown
Input voltage off
Latch
release
VCC Pin Voltage
t
VCC(BIAS)
OVP Pin Voltage
VCC(OFF)
Latched shutdown
VOVP(OVP)
Drain Current
ID
Figure 8-21. OVP_OVP Operational Waveforms
8.5.
Overload Protection (OLP)
In the overload protection (OLP), the peak drain
current is limited by the OCP operation. Figure 8-22
shows the FB pin peripheral circuit, whereas Figure 8-23
shows the OLP operational waveforms.
VBD(OVP)
0
Drain Current
ID
0
t
LC554xLD
7 V Reg.
R7
FB 4
t
Figure 8-20. OCP_OVP Operational Waveforms
8.4.3. OVP Pin Overvoltage Protection
(OVP_OVP)
Figure 8-21 shows operational waveforms of the OVP
pin overvoltage protection (OVP_OVP). When the
voltage across the OVP and S/GND pins reaches
VOVP(OVP) = 2.0 V or more, the OVP_OVP is activated.
Then, the IC stops switching operation in a latched state.
The OVP pin input voltage must be less than its rated
maximum voltage of 5 V. The OVP_OVP operates as the
protection against abnormal conditions, such as a shortcircuit load of serially connected LEDs. The IC detects
the secondary output voltage through an optocoupler
(PC2, as in Figure 5-1) and activates the OVP_OVP.
S/GND
1
C6
PC1
Figure 8-22. FB Pin Peripheral Circuit
VCC Pin
Voltage
VCC(BIAS)
FB Pin Voltage
Input voltage off
Latch
release
VCC(OFF)
Latched
shutdown
VFB(OLP)
Drain Current
ID
Figure 8-23. OLP Operational Waveforms
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In the overload condition, the VCC pin voltage drops
along with the output voltage drop. When the VCC pin
voltage reaches the Startup Current Biasing Threshold
Voltage, VCC(BIAS) = 11.0 V, the bias assist function is
activated to suppress a reduction in the VCC pin voltage.
Simultaneously, the output of the secondary-side error
amplifier turns off as the output voltage decreases, then
the optocoupler, PC1, is cut off. Since C6 connected to
the FB pin is charged with the feedback current after the
PC1 cutoff, the FB pin voltage increases. When the FB
pin voltage reaches the OLP Threshold Voltage,
VFB(OLP) = 4.5 V, the IC stops switching operation in a
latched state (see Section 8.4).
To release the latched state, turn off the input voltage
and decrease the VCC pin voltage below VCC(OFF).
The reference capacitance of C6 is about 1 μF to 4.7 μF.
If the capacitance is too small, the OLP function may be
activated when the IC restarts. C6 should be adjusted
based on actual operations in your application.
P
D/ST 8
LC554xLD
LOGIC
C3
DRIVE
1
S/GND
OCP Comp.
+
−0.6 V
3
OCP
Reg
C5
VROCP
R3
ROCP
Filter
Figure 8-24. OCP Circuit for Negative Side Detect
To prevent malfunctions, connect a filter to the OCP
pin. Set the constants of the filter (R3, C5) as follows:
8.6.
Overcurrent Protection (OCP)
The overcurrent protection (OCP) detects the peak
drain current of the power MOSFET on a pulse-by-pulse
basis, and limits the output power.
8.6.1. OCP Detection Method and Leading
Edge Blanking Function
The drain current of the power MOSFET is detected by
the current detection resistor, ROCP, placed between the
OCP and S/GND pins, as shown in Figure 8-24. The
detection signals, VROCP, are fed through R3 to the OCP
pin.
The power MOSFET turns off when VROCP reaches the
value obtained by Equation (5), below:
VROCP = −(|VOCP | + R3 × |IOCP |) .
(5)
Where VOCP is the overcurrent detection threshold
voltage of −0.6 V, R3 is the value of R3, and IOCP is the
OCP pin source current of −40 μA.
● R3
To minimize the effects of a variation in the internal
resistor, set R3 value to about 100 Ω to 33 Ω.
● C5
C5 value is about 100 pF to 470 pF. C5 must be a
capacitor with good temperature characteristics. If the C5
value is too large, a response time of the OCP function
may become slow. This causes the peak of drain current
to be increased in transient conditions such as a startup.
The OCP function employs a peak current detection
method. If the OCP pin detects a surge voltage at the
power MOSFET turn-on edge, the power MOSFET may
turn off. As a prevention against such operation, the IC
has the Leading Edge Blanking Time (tON(LEB) = 600 ns),
which starts immediately after the power MOSFET turnon.
When the power MOSFET turns on, the surge voltage
width of the OCP pin voltage should be less than tON(LEB),
as shown in Figure 8-25. If the surge voltage width
becomes tON (LEB) or more, be sure to regulate the surge
voltage value and surge voltage width by implementing
the following settings:
- Adjust the timing of power MOSFET turn-on to the
bottom point of VDS waveform.
- Reduce the capacitance of the voltage resonant
capacitor, CV (i.e., C3).
- Reduce the capacitance of the secondary rectifier
snubber capacitor.
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LC5540LD Series
The Overcurrent Detection Threshold Voltage, VROCP'
applied with OCP input compensation is calculated by the
following equation:
OCP detection period
S/GND
′
VROCP
= −(|VOCP | + |R3 × IOCP | − R3 × I) .
VROCP
Surge voltage pulse width at
turning on
Figure 8-25. OCP Pin Voltage (Converted from Power
MOSFET Drain Current by ROCP)
8.6.2. Input Compensation Function
The IC has the input compensation function that
compensates the Overcurrent Detection Threshold
Voltage, VOCP, according to AC input voltages. In an
application using a quasi-resonant converter with
universal input (85 VAC to 265 VAC), the peak drain
current of the power MOSFET decreases due to a higher
operation frequency caused by an increased input voltage
under a condition of constant output power.
Figure 8-26 shows the relationship between AC input
voltage and the output current at OCP activation, IOUT(OCP),
with the OCP input compensation function being
activated or deactivated. When the IC without the input
compensation, IOUT(OCP) increases as the AC input voltage
increases (see “IOUT without input compensation” in
Figure 8-26). To regulate IOUT(OCP) at the maximum AC
input voltage, add the OCP input compensation circuit
(DX1, DZX1, RX1) as shown in Figure 8-27. The values of
these components should be adjusted so that IOUT(OCP) at
the maximum AC input voltage exceeds the target output
current, IOUT (see “IOUT with appropriate input
compensation” in Figure 8-26).
Figure 8-27 shows the OCP input compensation circuit,
and Figure 8-28 shows the Vfw1 and Vfw2 voltages
according to the AC input voltage. The compensation
amount of VOCP depends on values of the input
compensation current, I, RX1, R3, and ROCP. The input
compensation current, I, is calculated by the following
equation:
I=
Vfw1 − VZX1 − VFX1
.
R X1 + R3 + R OCP
(7)
Where:
I is the input compensation current,
R3 is the value of R3,
VOCP is the overcurrent detection threshold voltage
(−0.6 V), and
IOCP is is OCP pin source current (−40 μA).
As the input voltage, VIN, increases, the voltage drop
across R3 by the input compensation current, I (i.e., R3 ×
I) increases. Then, the input compensation amount also
increases, and the absolute value of VROCP' decreases.
The compensation start voltage of the OCP input
voltage is determined by the Zener voltage (VZX1) of the
Zener diode (DZX1). Set VZX1 to the same voltage as Vfw1
at the OCP input compensation starting point. The OCP
pin voltage, including surge voltage, must be regulated
within the rated voltages (−2. V to 5. V) under a
condition of the maximum AC input voltage.
Output Current at OCP, IOUT(OCP) (A)
tON(LEB)
IOUT with appropriate input compensation
IOUT without input compensation
IOUT
IOUT (target output current)
IOUT with excessive input
compensation
IOUT cannot be acquired
85 V
265 V
AC Input Voltage (V)
Figure 8-26. AC Input Voltage vs. Output Current at
OCP (with or without OCP Input Compensation
Function)
(6)
Where:
I is the input compensation current,
Vfw1 is the forward voltage of the auxiliary winding, D
proportional to input voltage,
VFX1 is the forward voltage of the rectifier diode DX1,
and
VZX1 is the Zener voltage of the Zener diode DZX1.
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LC5540LD Series
Forward voltage, Vfw1
Flyback voltage, Vrev1
T1
P
VIN
C2
R1
D
D5
Where:
VROCP is the overcurrent detection threshold voltage
without an OCP input compensation circuit,
IDP(OCP) is the peak drain current during OCP operation,
VOCP is the overcurrent detection threshold voltage
(−0.6 V), and
IOCP is the OCP pin source current (−40 μA).
C4
Input compensation
current, I
C3
8
D/ST
2
VCC
D6
DX1
R4
DZX1
C7
S/GND
1
VROCP ′ = −|R OCP × IDP(OCP) ′|
RX1
D7
LC554xLD I
OCP
(9)
OCP 3
= −(|VOCP | + |R3 × IOCP | − R3 × I) .
R3
IDP(OCP) C5
ROCP
OCP input voltage, Vfw2
Figure 8-27. OCP Input Compensation Circuit
100 V
0
The overcurrent detection threshold voltage with an
OCP input compensation circuit, VROCP', is calculated by
Equation (9).
When VROCP' with reference to the S/GND pin becomes
equal to the sum of VOCP, the voltage across R3 (i.e., R3
× IOCP), and R3 × I, OCP is activated (see Figure 8-30).
230 V
VZX1
Where:
VROCP' is the overcurrent detection threshold voltage
with an OCP input compensation circuit,
IDP(OCP)' is the peak drain current during OCP operation
with OCP input compensation circuit,
VOCP is the overcurrent detection threshold voltage
(−0.6 V),
IOCP is the OCP pin source current (−40 μA), and
I is the input compensation current.
Thus, the overcurrent detection threshold voltage will
be changed by adding the OCP input compensation circuit
for limiting the output power.
AC
Vfw1
0
Vfw2
OCP 3
AC
VOCP
S/GND
1
ROCP
IDP
R3
OCP input compensation starting point
Vfw1 ≒ VZX1
Figure 8-28. Vfw1 and Vfw2 vs. AC Input Voltages
VOCP
ROCP
ROCP × IDP
R3
R3 × IOCP
IOCP
R3 × IOCP
8.6.3. OCP Threshold Voltage with or
without Compensation Circuit
ROCP × IDP
The overcurrent detection threshold voltage without an
OCP input compensation circuit, VROCP, is calculated by
Equation (8). When VROCP with reference to the S/GND
pin becomes equal to the sum of VOCP and the voltage
across R3 (i.e., R3 × IOCP), OCP is activated (see Figure
8-29).
VOCP
IDP
Drain current
Increased
Figure 8-29. Without OCP Input Compensation
Function
VROCP = −|R OCP × IDP(OCP) |
(8)
= −(|VOCP | + R3 × |IOCP |) .
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LC5540LD Series
R OCP × |IDP(OCP) ′| = |VOCP |
+ R3 × |IOCP |– R3 × I
OCP 3
VOCP
VOCP
S/GND
IDP'
1
ROCP
ROCP × IDP'
RX1
R3
ROCP
(11)
R3 × IOCP
R3
R3 × I
IDP(OCP)' in the maximum AC input voltage should be
set to the peak drain current where the output current is
equal to “IOUT with appropriate input compensation” in
Figure 8-26.
The input compensation current, I, can be expressed by
the following equation obtained from Equations (10) and
(11):
IOCP
I
R3 × IOCP
R3 × I
ROCP × IDP'
|VOCP | + R3 × (|IOCP | − I)
∴ |IDP(OCP) ′| =
.
R OCP
VOCP
I = (|IDP(OCP) | − |IDP(OCP) ′|) ×
Drain current
IDP'
Decreased
(12)
The forward voltage, Vfw1, at C2 peak voltage
VIN(PK)MAX in the maximum AC input voltage is expressed
as follows:
Figure 8-30. With OCP Input Compensation Function
Vfw1 =
8.6.4. Determining OCP Input
Compensation Circuit Component
Values
The component symbols used in this section are
represented as follows:
IDP is the peak drain current of the power MOSFET,
VFX1 is the forward voltage of the rectifier diode DX1,
VZX1 is the Zener voltage of the Zener diode DZX1,
VOCP is the overcurrent detection threshold voltage
(−0.6 V),
IOCP is the OCP pin source current (−40 µA), and
I is the input compensation current.
For other component numbers, such as resistors, see
Figure 8-27.
The peak drain current during OCP operation without
OCP input compensation circuit, IDP(OCP), is expressed by
Equation (10) obtained from Figure 8-29. IDP(OCP) is equal
to the drain current limited by overcurrent detection
threshold voltage without OCP input compensation in the
minimum AC input voltage condition.
R OCP × |IDP(OCP) | = |VOCP | + R3 × |IOCP |
|VOCP | + R3 × |IOCP |
∴ |IDP(OCP) | =
.
R OCP
R OCP
.
R3
(10)
The peak drain current during OCP operation with
OCP input compensation circuit, IDP(OCP)', is expressed by
Equation (11) obtained from Figure 8-30:
ND × VIN(PK)MAX
.
Np
(13)
To supply input compensation current, I, in the
maximum AC input voltage, calculate RX1 value as the
following steps:
The input compensation current, I, can be expressed by
the following equation:
I=
Vfw1 − VZX1 − VFX1
.
R X1 + R3 + R OCP
(14)
Assuming R3