LM3477AMMX/NOPB [TI]

用于开关稳压器的高效高侧 N 沟道控制器 | DGK | 8 | -40 to 125;
LM3477AMMX/NOPB
型号: LM3477AMMX/NOPB
厂家: TEXAS INSTRUMENTS    TEXAS INSTRUMENTS
描述:

用于开关稳压器的高效高侧 N 沟道控制器 | DGK | 8 | -40 to 125

开关 控制器 光电二极管 稳压器
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LM3477  
www.ti.com  
SNVS141K OCTOBER 2000REVISED MARCH 2013  
LM3477 High Efficiency High-Side N-Channel Controller for Switching Regulator  
Check for Samples: LM3477  
1
FEATURES  
DESCRIPTION  
The LM3477/A is a high-side N-channel MOSFET  
switching regulator controller. It can be used in  
topologies requiring a high side MOSFET such as  
buck, inverting (buck-boost) and zeta regulators. The  
LM3477/A's internal push pull driver allows  
compatibility with a wide range of MOSFETs. This,  
the wide input voltage range, use of discrete power  
components and adjustable current limit allows the  
LM3477/A to be optimized for a wide variety of  
applications.  
2
500kHz Switching Frequency  
Adjustable Current Limit  
1.5% Reference  
Thermal Shutdown  
Frequency Compensation Optimized with a  
Single Capacitor and Resistor  
Internal Softstart  
Current Mode Operation  
Undervoltage Lockout with Hysteresis  
8-lead (VSSOP-8) Package  
The LM3477/A uses a high switching frequency of  
500kHz to reduce the overall solution size. Current-  
mode control requires only a single resistor and  
capacitor for frequency compensation. The current  
mode architecture also yields superior line and load  
regulation and cycle-by-cycle current limiting. A 5µA  
shutdown state can be used for power savings and  
for power supply sequencing. Other features include  
internal soft-start and output over voltage protection.  
The internal soft-start reduces inrush current. Over  
voltage protection is a safety feature to ensure that  
the output voltage stays within regulation.  
APPLICATIONS  
Local Voltage Regulation  
Distributed Power  
Notebook and Palmtop Computers  
Internet Appliances  
Printers and Office Automation  
Battery operated Devices  
Cable Modems  
The LM3477A is similar to the LM3477. The primary  
difference between the two is the point at which the  
device transitions into hysteretic mode. The hysteretic  
threshold of the LM3477A is one-third of the LM3477.  
Battery Chargers  
Hysteretic Threshold(1)  
LM3477  
36% of programmed current limit  
12% of programmed current limit  
LM3477A  
(1) See Hysteretic Threshold and PROGRAMMING THE  
CURRENT LIMIT/HYSTERETIC THRESHOLD for more  
information.  
1
Please be aware that an important notice concerning availability, standard warranty, and use in critical applications of  
Texas Instruments semiconductor products and disclaimers thereto appears at the end of this data sheet.  
2
All trademarks are the property of their respective owners.  
PRODUCTION DATA information is current as of publication date.  
Products conform to specifications per the terms of the Texas  
Instruments standard warranty. Production processing does not  
necessarily include testing of all parameters.  
Copyright © 2000–2013, Texas Instruments Incorporated  
LM3477  
SNVS141K OCTOBER 2000REVISED MARCH 2013  
www.ti.com  
Typical Application Circuit  
L
RSN  
Q1  
VOUT  
FDC653N  
3.3mH  
0.02W  
2.5V, 3A  
RFB1  
20.5k  
COUT  
47mF  
ceramic  
CSN  
RFB2  
20.0k  
0.1mF  
D
30BG100  
3
6
FB  
DR  
1
8
4
7
VIN  
4.5V - 5.5V  
ISEN  
CB  
LM3477  
2
VIN  
COMP/SD  
CBOOT  
0.1mF  
CBYP  
0.1mF  
CIN  
120mF/20V  
5
GND  
SW  
RC  
510  
CC1  
47nF  
*RFB1 = RFB2* (Vout - 1.26)/1.26  
Figure 1. Typical High Efficiency Step-Down (Buck) Converter  
Connection Diagram  
ISEN  
VIN  
CB  
DR  
SW  
COMP/SD  
LM3477  
FB  
GND  
Figure 2. 8 Lead (VSSOP-8 Package)  
PIN DESCRIPTION  
Pin Name  
Pin Number  
Description  
ISEN  
1
2
3
Current sense input pin. Voltage generated across an external sense resistor is fed into this  
pin.  
COMP/SD  
FB  
Compensation pin. A resistor-capacitor combination connected to this pin provides  
compensation for the control loop. Pull this pin below 0.65V to shutdown.  
Feedback pin. The output voltage should be adjusted using a resistor divider to provide  
1.270V at this pin.  
GND  
SW  
DR  
4
5
6
7
Ground pin.  
Switch Node. Source of the external MOSFET is connected to this node.  
Drive pin. The gate of the external MOSFET should be connected to this pin.  
CB  
Boot-strap pin. A capacitor must be connected between this pin and SW pin (pin 5) for proper  
operation. The voltage developed across this capacitor provides the gate drive for the external  
MOSFET.  
VIN  
8
Power Supply Input pin.  
These devices have limited built-in ESD protection. The leads should be shorted together or the device placed in conductive foam  
during storage or handling to prevent electrostatic damage to the MOS gates.  
2
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SNVS141K OCTOBER 2000REVISED MARCH 2013  
(1)(2)  
Absolute Maximum Ratings  
Input Voltage  
36V  
1.0A  
Peak Driver Output Current (<10µs)  
(3)  
CB Pin Voltage  
43V  
ISEN Pin Voltage  
500mV  
Power Dissipation  
Internally Limited  
65°C to +150°C  
+150°C  
Storage Temperature Range  
Junction Temperature  
(4)  
ESD Susceptibilty  
Human Body Model  
Machine Model  
2kV  
200V  
Lead Temperature for VSSOP Package  
Vapor Phase (60 sec.)  
Infared (15 sec.)  
215°C  
220°C  
(1) Absolute Maximum Ratings are limits beyond which damage to the device may occur. Operating Ratings are conditions under which  
operation of the device is intended to be functional. For ensured specifications and test conditions, see the Electrical Characteristics.  
(2) If Military/Aerospace specified devices are required, please contact the TI Sales Office/Distributors for availability and specifications.  
(3) The CB pin must not be higher than 8V above the VSW  
.
(4) The human body model is a 100 pF capacitor discharged through a 1.5kΩ resistor into each pin. The machine model is 200 pF capacitor  
discharged directly into each pin.  
(1)  
Operating Ratings  
Supply Voltage  
2.97V VIN 35V  
Junction Temperature Range  
40°C TJ +125°C  
(1) Absolute Maximum Ratings are limits beyond which damage to the device may occur. Operating Ratings are conditions under which  
operation of the device is intended to be functional. For ensured specifications and test conditions, see the Electrical Characteristics.  
Electrical Characteristics(1)  
Specifications in Standard type face are for TJ = 25°C, and in bold type face apply over the full Operating Temperature  
Range. Unless otherwise specified, VIN = 12V.  
Symbol  
VFB  
Parameter  
Feedback Voltage  
Conditions  
Typical  
Limit  
Units  
VCOMP = 1.4V,  
1.270  
V
2.97V VIN 36V  
2.97V VIN 36V  
1.260/1.252  
1.288/1.290  
V(min)  
V(max)  
ΔVLINE  
ΔVLOAD  
VUVLO  
Feedback Voltage Line Regulation  
Output Voltage Load Regulation  
Input Undervoltage Lock-out  
0.001  
±0.5  
%/V  
%/V (max)  
2.87  
V
2.97  
V(max)  
VUV(HYS)  
Input Undervoltage Lock-out Hysteresis  
Switching Frequency  
180  
500  
mV  
mV (min)  
mV (max)  
130  
225  
FSW  
kHz  
435  
575  
kHz(min)  
kHz(max)  
RDS1 (ON)  
RDS2 (ON)  
Driver Switch On Resistance (top)  
Driver Switch On Resistance (bottom)  
Maximum Boot Voltage  
IDR = 0.2A, VIN= 5V  
IDR = 0.2A  
7
4
Ω
Ω
V
(VCBVSW max  
)
VIN < 7.2V  
VIN  
7.2  
93  
VIN 7.2V  
Dmax  
Maximum Duty Cycle  
Minimum On Time  
%
%(min)  
88  
Tmin (on)  
330  
nsec  
230  
495  
nsec(min)  
nsec(max)  
(1) All limits are ensured at room temperature (standard type face) and at temperature extremes (bold type face). All room temperature  
limits are 100% tested. All limits at temperature extremes are ensured via correlation using standard Statistical Quality Control (SQC)  
methods. All limits are used to calculate Average Outgoing Quality Level (AOQL).  
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Electrical Characteristics(1) (continued)  
Specifications in Standard type face are for TJ = 25°C, and in bold type face apply over the full Operating Temperature  
Range. Unless otherwise specified, VIN = 12V.  
Symbol  
ISUPPLY  
Parameter  
Conditions  
Typical  
Limit  
3.0  
8
Units  
(2)  
Supply Current (switching)  
2.0  
mA  
mA (max)  
IQ  
Quiescent Current in Shutdown Mode  
(3), VIN = 5V  
5
µA  
µA (max)  
VCL(O)  
Current Limit Voltage at 0% Duty Cycle LM3477  
LM3477A  
155  
mV  
mV (min)  
mV (max)  
130/125  
185/190  
165  
74  
mV  
mV (min)  
mV (max)  
140/135  
195/200  
VCL(100)  
Current Limit Voltage at 100% Duty  
Cycle  
LM3477  
mV  
mV (min)  
mV (max)  
50/43  
98/98  
LM3477A  
65  
mV  
41/25  
89/98  
mV (min)  
mV (max)  
VSC  
Short-Circuit Current Limit Sense  
Voltage  
VIN = 5V, LM3477  
VIN = 5V, LM3477A  
350  
310  
mV  
mV (min)  
mV (max)  
270  
420  
mV  
260  
380  
mV (min)  
mV (max)  
VSL  
Internal Compensation Ramp Voltage  
Height  
VIN = 5V, LM3477  
VIN = 5V, LM3477A  
VCOMP = 1.4V  
83  
103  
50  
mV  
VOVP  
Output Over-voltage Protection (with  
mV  
mV(min)  
mV(max)  
32/25  
78/85  
(4)  
respect to feedback voltage)  
VOVP(HYS)  
Output Over-Voltage Protection  
Hysteresis(4)  
VCOMP = 1.4V  
60  
750  
38  
mV  
mV(min)  
mV(max)  
20  
110  
Gm  
Error Amplifier Transconductance  
Error Amplifier Voltage Gain  
VCOMP = 1.4V  
IEAO = 100µA (Source/Sink)  
µmho  
µmho (min)  
µmho (max)  
600/365  
1000/1265  
AVOL  
VCOMP = 1.4V  
V/V  
IEAO = 100µA (Source/Sink)  
30  
42  
V/V (min)  
V/V (max)  
IEAO  
Error Amplifier Output Current (Source/ Source, VCOMP = 1.4V, VFB  
=
100  
140  
2.2  
µA  
µA (min)  
µA (max)  
Sink)  
0V  
75/50  
130/160  
Sink, VCOMP = 1.4V, VFB = 1.4V  
µA  
µA (min)  
µA (max)  
110/95  
170/180  
VEAO  
Error Amplifier Output Voltage Swing  
Upper Limit  
V
VFB = 0V  
COMP Pin = Floating  
2.0  
2.35  
V(min)  
V(max)  
Lower Limit  
VFB = 1.4V  
0.75  
V
0.5  
0.95  
V(min)  
V(max)  
TSS  
Tr  
Internal Soft-Start Delay  
Drive Pin Rise Time  
Drive Pin Fall Time  
VFB = 1.2V, VCOMP = Floating  
CGS = 3000pF, VDR = 0 to 3V  
CGS = 3000pF, VDR = 0 to 3V  
5
msec  
ns  
25  
25  
Tf  
ns  
(2) For this test, the COMP/SD pin must be left floating.  
(3) For this test, the COMP/SD pin must be pulled low.  
(4) The over-voltage protection is specified with respect to the feedback voltage. This is because the over-voltage protection tracks the  
feedback voltage. The overvoltage protection threshold is given by adding the feedback voltage, VFB to the over-voltage protection  
specification.  
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Electrical Characteristics(1) (continued)  
Specifications in Standard type face are for TJ = 25°C, and in bold type face apply over the full Operating Temperature  
Range. Unless otherwise specified, VIN = 12V.  
Symbol  
VSD  
Parameter  
Conditions  
Output = High  
Typical  
Limit  
1.35  
0.3  
Units  
(5)  
Shutdown Threshold  
1.15  
V
V (max)  
Output = Low  
0.65  
V
V (min)  
ISD  
Shutdown Pin Current  
VSD = 5V  
VSD = 0V  
1  
+1  
µA  
TSD  
TSH  
θJA  
Thermal Shutdown  
165  
10  
°C  
°C  
Thermal Shutdown Hysteresis  
Thermal Resistance  
MM Package  
200  
°C/W  
(5) The COMP/SD pin should be pulled to ground to turn the regulator off. The voltage on the COMP/SD pin must be below the limit for  
Output = Low to keep the regulator off.  
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Typical Performance Characteristics  
Unless otherwise specified, VIN = 12V, TJ = 25°C.  
IQ (Shutdown) vs Temperature & Supply Voltage  
ISupply vs Temperature & Supply Voltage (Non-Switching)  
11  
2.75  
-40oC  
10  
9
8
-40oC  
2.5  
25oC  
25oC  
85oC  
2.25  
125oC  
7
6
2
1.75  
1.5  
5
4
40  
0
5
10 15 20  
VIN (Volts)  
30 35  
40  
20  
35  
25  
10  
25 30  
0
5
15  
VIN (Volts)  
Figure 3.  
Figure 4.  
ISupply vs Temperature & Supply Voltage (Switching)  
Frequency vs Temperature  
3
600  
400  
-40oC  
25oC  
2.75  
125oC  
2.5  
2.25  
2
200  
0
1.75  
1.5  
0
40  
5
10  
30 35  
20 25  
VIN (Volts)  
Figure 5.  
15  
120  
-40  
0
80  
40  
TemperatureoC  
Figure 6.  
VCBVSW vs Supply Voltage  
COMP Pin Voltage vs Load Current  
8
7
6
5
4
3
2
1
0
25  
35  
10  
15  
30  
20  
0
5
VIN (Volts)  
Figure 7.  
Figure 8.  
6
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Typical Performance Characteristics (continued)  
Unless otherwise specified, VIN = 12V, TJ = 25°C.  
Efficiency vs Load Current (VIN = 24V, VOUT = 12V)  
Efficiency vs Load Current (VIN = 5V, OUT = 3.3V)  
100  
100  
LM3477A  
LM3477  
90  
80  
70  
60  
50  
40  
30  
20  
10  
0
90  
LM3477  
LM3477A  
80  
70  
60  
50  
40  
30  
20  
10  
0
0.01  
0.1  
1
10  
0.01  
0.1  
1
10  
LOAD (A)  
LOAD (A)  
Figure 9.  
Figure 10.  
Efficiency vs Load Current (VIN = 12V, VOUT = 3.3V)  
Error Amplifier Gain  
100  
90  
LM3477  
80  
70  
LM3477A  
60  
50  
40  
30  
20  
10  
0
0.01  
0.1  
1
10  
LOAD (A)  
Figure 11.  
Figure 12.  
Error Amplifier Phase Shift  
COMP Pin Source Current vs Temperature  
150  
140  
130  
120  
40  
80  
120  
-40  
0
Temperature (oC)  
Figure 13.  
Figure 14.  
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Typical Performance Characteristics (continued)  
Unless otherwise specified, VIN = 12V, TJ = 25°C.  
Slope Compensation Ramp vs Slope Compensation  
Resistor  
Short Circuit vs Temperature  
450  
250  
LM3477  
400  
350  
300  
250  
200  
LM3477A  
150  
200  
150  
100  
50  
100  
50  
0
0
-50  
0
50  
100  
150  
0
1k  
2k  
5k  
3k  
RSL (W)  
Figure 16.  
4k  
TEMPERATURE (°C)  
Figure 15.  
Shutdown Threshold Hysteresis vs Temperature  
Current Sense Voltage vs Duty Cycle  
400  
1.4  
Output = High  
LM3477  
1.2  
300  
1
LM3477A  
0.8  
200  
100  
0
0.6  
Output = Low  
0.4  
0.2  
0
120  
40  
80  
0
-40  
0
10 20 30 40 50 60 70 80 90 100  
TEMPERATURE (°C)  
DUTY CYCLE (%)  
Figure 17.  
Figure 18.  
8
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Functional Block Diagram  
Short-Circuit  
Detect  
PWM  
Comparator  
_
+
_
+
ISEN  
Under-  
Voltage  
Lockout  
One-Shot  
VIN  
500kHz  
Oscillator  
Slope  
Compensation  
7.2V  
Set / Blankout  
Shutdown  
Detect  
Bias Voltages  
1.26V  
Reference  
Soft-Start  
COMP  
FB  
CB  
DR  
_
+
R
S
Switch  
Driver  
Switch  
Logic  
Q
Error  
Amplifier  
SW  
Thermal  
Shutdown  
GND  
Cboot Voltage  
Detect  
_
+
Over-voltage  
Detect  
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FUNCTIONAL DESCRIPTION  
GENERAL DESCRIPTION  
The LM3477/A is a switching regulator controller for topologies incorporating a high side switch. The most  
common of these topologies is the step-down, or buck, converter. Other topologies such as the inverting (buck-  
boost) and inverse SEPIC (zeta) converters can be realized. This datasheet will focus on buck converter  
applications.  
The LM3477/A employs current mode control architecture. Among the many benefits of this architecture are  
superior line and load regulation, cycle-by-cycle current limiting, and simple loop compensation. The LM3477/A  
features a patented adjustable slope compensation scheme to enable flexible inductor selection. The LM3477/A  
has a combination of features that allow its use in a wide variety of applications. The input voltage can range  
from 2.97V to 35V, with the output voltage being positive or negative depending on the topology. The current  
limit can be scaled to safely drive a wide range of loads. An internal soft-start is provided to limit initial in-rush  
current. Output over voltage and input under voltage protection ensure safe operation of the LM3477/A.  
REGIONS OF OPERATION  
Pulse width modulation (PWM) is the normal mode of operation. In PWM, the output voltage is well regulated  
and has a ripple frequency equal to the switching frequency (500kHz). In low load conditions, the part operates in  
hysteretic mode. In this mode, the output voltage is regulated between a high and low value that results in a  
higher ripple magnitude and lower ripple frequency than in PWM mode (see OVER VOLTAGE PROTECTION).  
VSC  
LM3477  
VSC  
LM3477A  
VCL0  
Se  
VHYS  
PWM  
LM3477  
Hysteretic  
(32mV)  
VHYS  
PWM  
LM3477A  
Hysteretic  
(11mV)  
D(MIN)  
D(MAX)  
Figure 19. Operating Regions of the LM3477/A  
The important differences between the LM3477 and the LM3477A are summarized in Figure 19. The voltages in  
Figure 19 can be referred to the switch current by dividing through by RSN. The LM3477A has a lower hysteretic  
threshold voltage VHYS, and thus will operate in PWM mode for a larger load range than the LM3477. Typically,  
VHYS = 32mV for the LM3477, while VHYS = 11mV for the LM3477A. The difference in area between the shaded  
regions give a graphical representation of this. The lightly shaded region is the extra PWM operating area gained  
by using the LM3477A. Thus the benefits of operating in PWM mode such as a well regulated output voltage with  
low noise ripple are extended to a larger load range when the LM3477A is used. While less significant, the other  
noteworthy difference between the two parts is in the short circuit current limit VSC  
.
VSC is a ceiling limit for the peak sense voltage VSNpk (see SHORT CIRCUIT PROTECTION). VSC is lower in the  
LM3477A than in the LM3477 (see the Electrical Characteristics for limits).  
OVER VOLTAGE PROTECTION  
The LM3477/A has over voltage protection (OVP) for the output voltage. OVP is sensed at and is in respect to  
the feedback pin (pin 3). If at anytime the voltage at the feedback pin rises to VFB + VOVP, OVP is triggered. See  
Electrical Characteristics for limits on VFB and VOVP  
.
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OVP will cause the drive pin to go low, forcing the power MOSFET off. With the MOSFET off, the output voltage  
will drop. The LM3477/A will begin switching again when the feedback voltage reaches VFB + (VOVP - VOVP(HYS)).  
See Electrical Characteristics for limits on VOVP(HYS)  
.
OVP can be triggered by any event that causes the output voltage to rise out of regulation. There are several  
common circumstances in which this can happen, and it is beneficial for a designer to be aware of these for  
debugging purposes, since the mode of operation changes from the normal Pulse Width Modulation (PWM)  
mode to the hysteretic mode. In the hysteretic mode the output voltage is regulated between a high and low  
value that results in a higher ripple magnitude and lower ripple frequency than in the PWM mode, see Figure 20.  
Feedback Voltage  
VOVP (HIGH)  
VOVP(HYS)  
VFB  
t
VOVP (LOW)  
PWM Mode:  
Hysteretic Mode:  
- Normal  
operation  
- Light load current  
- D < DMIN  
- Transient response  
overshoot too high  
See different Ripple Components in PWM and Hysteretic Modes.  
Figure 20. The Feedback Voltage is related to the Output Voltage  
If the load current becomes too low, the LM3477/A will increase the duty cycle, causing the voltage to rise and  
trigger the OVP. The reasons for this involve the way the LM3477/A regulates the output voltage, using a control  
waveform at the pulse width modulator. This control waveform has upper and lower bounds.  
Another way OVP can be tripped is if the input voltage rises higher than the LM3477/A is able to regulate in  
pulse width modulation (PWM) mode. The output voltage is related to the input voltage by the duty cycle as:  
VOUT = VIN*D. The LM3477/A has a minimum duty cycle of 16.5% (typical), due to the blank-out timing, TMIN. If  
the input voltage increases such that the duty cycle wants to be less than DMIN, the duty cycle will hold at DMIN  
and the output voltage will increase with the input voltage until it trips OVP.  
It is useful to plot the operational boundaries in order to illustrate the point at which the device switches into  
hysteretic mode. In Figure 19, the limits shown are with respect to the peak voltage across the sense resistor  
RSN, (VSNpk); they can be referred to the peak inductor current by dividing through by RSN. VSNpk is bound to the  
shaded regions. In normal circumstances VSNpk is required to be in the shaded region, and the LM3477/A will  
operate in the PWM mode. If operating conditions are chosen such that VSNpk would not normally fall in the  
shaded regions, then the mode of operation is changed so that VSNpk will be in the shaded region, and the part  
will operate in the hysteretic mode. What actually happens is that the LM3477/A will not allow VSNpk to be outside  
of the shaded regions, so the duty cycle is adjusted.  
The output voltage transient response overshoot can also trigger OVP. As discussed in Output Capacitor  
Selection, if the capacitance is too low or ESR too high, the output voltage overshoot will rise high enough to  
trigger OVP. However, as long as there is room for the duty cycle to adjust (the converter is not near DMIN or  
DMAX), the LM3477/A will return to PWM mode after a few cycles of hysteretic mode operation.  
There is one last way that OVP can be triggered. If the unregulated input voltage crosses 7.2V, the output  
voltage will react as shown in Figure 21. The internal bias of the LM3477/A switches supplies at 7.2V. When this  
happens, a sudden small change in bias voltage is seen by all the internal blocks of the LM3477/A. The control  
voltage, VC, shifts because of the bias change, the PWM comparator tries to keep regulation. To the PWM  
comparator, the scenario is identical to step change in the load current, so the response at the output voltage is  
the same as would be observed in a step load change. Hence, the output voltage overshoot here can also trigger  
OVP. The LM3477/A will regulate in hysteretic mode for several cycles, or may not recover and simply stay in  
hysteretic mode until the load current drops. Note that the output voltage is still regulated in hysteric mode.  
Predicting whether or not the LM3477/A will come out of hysteretic mode in this scenario is a difficult task,  
however it is largely a function of the output current and the output capacitance. Triggering hysteretic mode in  
this way is only possible at higher load currents. The method to avoid this is to increase the output capacitance.  
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VIN (V)  
7.2V  
t
VFB (V)  
OVP  
(1.315V)  
1.265V  
t
The Feedback Voltage Experiences an Oscillation if the Input Voltage Crosses the 7.2V Internal Bias Threshold  
Figure 21.  
DEFAULT/ADJUSTABLE SLOPE COMPENSATION  
The LM3477/A uses a current mode control scheme. There are many advantages in a current mode architecture  
including inherent cycle-by-cycle current limiting and simple compensation of the control loop. However, there are  
consequences to using current mode control that one must be aware of while selecting circuit components. One  
of these consequences is the inherent possibility of subharmonic oscillations in the inductor current. This is a  
form of instability and should be avoided.  
RSL = 0 (nominal)  
VIN  
LM3477  
RSN  
PWM Comparator  
-
+
Q
L
R
S
Q
Q
VOUT  
COUT  
ISEN  
DR  
VC  
D
PWM Comparator  
Waveforms  
VC  
Se  
I0  
I2  
VSEN  
Sn  
Sf  
I1  
Time  
Figure 22. The Current Sensing Loop and Corresponding Waveforms  
As a brief explanation, consider Figure 22. A lot of information is shown here. The top portion shows a schematic  
of the current sensing loop. The bottom portion shows the pulse width modulation (PWM) comparator waveforms  
for two switching cycles. The two solid waveforms shown are the waveforms compared at the internal pulse width  
modulator, used to generate the MOSFET drive signal. The top waveform with the slope Se is the internally  
generated control waveform VC. The bottom waveform with slopes Sn and Sf is the sensed inductor current  
waveform VSEN. These signals are compared at the PWM comparator. There is a feedback loop involved here.  
The inductor current is sensed and fed back to the PWM comparator, where it is compared to VC. The output of  
the comparator in combination with the R/S latch determine if the MOSFET is on or off, which effectively controls  
the amount of current the inductor receives. While VC is higher than VSEN, the PWM comparator outputs a high  
signal, driving the external power MOSFET on. When MOSFET is on, the inductor current rises at a constant  
slope, generating the sensed voltage VSEN. When VSEN equals VC, the PWM comparator signals to drive the  
MOSFET off, and the sensed inductor current decreases with a slope Sf. The process begins again when RS  
latch is set by an internal oscillator.  
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The subharmonic oscillation phenomenon is realized when a load excursion is experienced. The way it is  
analyzed is to calculate how the inductor current settles after such an excursion. Take for example the case  
when the inductor current experiences a step increase in its average current, shown as the dotted line in  
Figure 22. In the switching period that the excursion occurs, the inductor current will change by ΔI0. In the  
following switching period, the inductor current will have a difference ΔI1 from its original starting value. The  
original excursion is being propagated each switching cycle. What is desired is to find out if this propagation is  
converging or diverging. It is apparent that the difference in the inductor current from one cycle to the next is a  
function of Sn, Sf, and Se, as follows:  
Sf - Se  
DIn-1  
DIn=  
Sn + Se  
(1)  
Hence, if the quantity (Sf - Se)/(Sn + Se)is greater than 1, the inductor current diverges and subharmonic  
oscillations result. Notice that as Se increases, the factor decreases. Also, when the duty cycle is greater than  
50%, as the inductance become less, the factor increases.  
The LM3477/A internally generates enough slope compensation Se to allow for the use of reasonable  
inductances. The height of the compensation slope ramp VSL can be found in the Electrical Characteristics. The  
LM3477/A incorporates a patented scheme to increase Se if there is need to use a smaller inductor. With the use  
of a single resistor RSL, Se can be increased indefinitely. RSL increases the compensation slope Se by the  
amount:  
DSe = 50 x 10-6 x fS x RSL  
V
(
)
ms  
(2)  
Therefore,  
Se = fS(VSL + 50 x 10-6 x RSL) (  
)
V
ms  
(3)  
When excursions of the inductor current are divergent, the current sensing control loop is unstable and produces  
a subharmonic oscillation in the inductor current. This oscillation is viewed as a resonance in the outer voltage  
control loop at half the switching frequency. In POWER INDUCTOR SECTION, calculations for minimum  
inductance and necessary slope resistance RSL are carried out based on this resonant peaking.  
START-UP/SOFT-START  
The LM3477/A incorporates an internal soft-start during start-up. The soft-start forces the inductor current to rise  
slowly and smoothly as it increases towards the steady-state current. This technique is used to reduce the input  
inrush current during soft-start. The soft-start functionality is effective for approximately the first 5ms of start-up.  
NOTE  
The LM3477/A will not start-up if the output voltage is biased by more than 200mV above  
ground.  
NOTE  
If the slope resistor RSL is used, the hysteretic threshold will be lowered. Therefore, the  
LM3477/A may require up to 100mA of pre-load to successfully start up.  
SHORT CIRCUIT PROTECTION  
When the voltage across the sense resistor (measured as the VIN ISEN differential voltage) exceeds VSC, short-  
circuit current limit gets activated. In the short-circuit protection mode, the external MOSFET is turned off. When  
the short is removed, the external MOSFET is turned on after five cycles. The short circuit protection voltage VSC  
is specified in the Electrical Characteristics. VSC is lower in the LM3477A than in the LM3477.  
SHUTDOWN  
The compensation pin (Pin 2) of LM3477/A also functions as a shutdown pin. If a low signal (refer to the  
Electrical Characteristics for definition of low signal) appears on the COMP/SD pin, the LM3477/A stops  
switching and goes into a low supply current mode. The total supply current of the IC reduces to less than 10µA  
under these conditions. Figure 23 shows different implementations of the shutdown function.  
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COMP/SD  
LM3477  
+5V  
SHUTDOWN  
INPUT  
OFF  
0
ON  
Figure 23. Implementing Shutdown in LM3477  
VCC  
+5V  
0
COMP/SD  
LM3477  
SHUTDOWN  
INPUT  
OFF  
ON  
Figure 24. Implementing Shutdown in LM3477  
Design Section  
GENERAL  
Power supply design involves making tradeoffs. To achieve performance specifications, limitations will be set on  
component selection. The LM3477/A provides many degrees of flexibility in choosing external components to  
accommodate various performance/component selection optimizations. For example, the internal slope  
compensation can be externally increased to allow smaller inductances to be used. The design procedures that  
follow provide instruction on how to select the external components in a typical LM3477/A buck circuit in  
continuous conduction mode, as well as aid in the optimization of performance and/or component selection. See  
Figure 25 for component reference and typical circuit. The LM3477/A may also be designed to operate in  
discontinuous conduction mode.  
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POWER STAGE  
Q1  
VIN  
RSN  
L
VOUT  
COUT  
D
R
CIN  
RESR  
RFB1  
RFB2  
RSL  
6
1
3
7
DR  
FB  
ISEN  
CB  
-
VSEN  
+
LM3477  
CBOOT RDR  
5
2
SW  
8
4
VIN  
GND  
COMP/SD  
CBYP  
RC  
CC1  
COMPENSATION NETWORK  
Figure 25. LM3477 Buck Converter Reference Schematic  
PROGRAMMING THE OUTPUT VOLTAGE  
The output voltage can be programmed using a resistor divider between the output and the feedback pins, as  
shown in Figure 25. The resistors are selected such that the voltage at the feedback pin is 1.27V. RFB1 and RFB2  
can be selected using the equation:  
VOUT = 1.27*(1+ RFB1/RFB2  
)
(4)  
CALCULATING THE DUTY CYCLE  
In buck converter applications, the duty cycle of the LM3477/A may be calculated as:  
VOUT + VD  
VOUT  
VIN  
ö
D =  
VIN + VD - VQ -VSEN  
(5)  
Where  
VD = forward drop of the power diode 0.5V  
VQ = VDS of the MOSFET when it is conducting IOUT*RDSON  
VSEN = Voltage across the sense resistor = IOUT x RSN  
This is the fraction of the switching period that the switch is on. The switch is off for the remainder of the period.  
This fraction is expressed as:  
D' = 1 D  
(6)  
The LM3477/A has limits for the maximum and minimum duty cycle (see Electrical Characteristics). The  
maximum duty cycle of 93% (typical) will limit how low the input voltage may drop while maintaining a regulated  
output voltage (the dropout voltage). In situations where a very low dropout voltage is required, it is necessary to  
include VD, VQ and VSN losses in the maximum duty cycle calculation. Voltage drops in the inductor will lower the  
dropout voltage as well.  
The LM3487 provides the FET drive voltage through the voltage developed across Cboot, which is charged when  
the SW pin goes low. If Cboot cannot fully recharge, the device will automatically restart when the Cboot voltage  
falls below approximately 2V. Therefore, a Cboot value of at least 0.1uF is recommended to ensure normal  
operation at high duty cycles.  
The minimum duty cycle of the LM3477/A corresponds to the minimum on time, or blank out time (see Electrical  
Characteristics).  
DMIN = TMIN* fs  
(7)  
This will not limit how high the input voltage can rise, however the LM3477/A will operate in hysteretic mode once  
the operating duty cycle decreases to the minimum duty cycle.  
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PROGRAMMING THE CURRENT LIMIT/HYSTERETIC THRESHOLD  
Definitions  
Current Limit: The current limit is the point at which the LM3477/A begins to limit the peak switch current. The  
current limit in the LM3477/A varies with duty cycle, which is a function of the VIN VOUT differential.  
Hysteric Threshold: Hysteretic threshold is the current at which the LM3477/A enters the hysteretic mode of  
operation (see OVER VOLTAGE PROTECTION). The hysteretic threshold is with respect to the peak switch  
current.  
SETTING CURRENT LIMIT AND HYSTERETIC THRESHOLD  
The adjustable current limit of the LM3477/A is set by the sense resistor RSN. The voltage across RSN is  
compared to an internal control voltage VC. The onset of current limiting is when VSEN(peak) equals VC(max), or VCL  
.
VSEN is defined here as the differential voltage from the VIN pin to the ISEN pin. VCL decreases as the duty cycle  
increases, as shown in Figure 26. Therefore, it is important to know both VSEN(peak) and VCL(min) at the maximum  
operating duty cycle, or lowest VIN condition.  
200  
VCL(D)  
VCL(0)  
100  
VCL(100)  
VSEN(PEAK)  
VSEN  
VHYS(LM3477)  
32  
VHYS(LM3477A)  
11  
0
0
20  
40  
60  
80  
100  
DUTY CYCLE (%)  
Figure 26. Current Limit and Hysteretic Threshold vs Duty Cycle  
VOUT(1-DMAX  
2 x L x fS  
)
) (V), RSL = 0  
VSEN(PEAK)  
=
RSN(IOUT(MAX)  
+
R
SN x IOUT(MAX)(1+ 0.15) (V)  
ö
(8)  
(9)  
VCL(MIN) = VCL(0)(MIN) D(MAX) (VCL(0)(MIN) VCL(100)(MIN)  
)
where DMAX is the duty cycle at the lowest VIN condition.  
To avoid current limit,  
VSEN(peak) < VCL(MIN)  
(10)  
Therefore,  
VCL(0)(MIN) - DMAX (VCL(0)(MIN) - VCL(100)(MIN)  
)
RSN(MAX)  
=
VOUT(1-DMAX  
)
IOUT(MAX)  
+
2 x L x fS  
VCL(0)(MIN) - DMAX (VCL(0)(MIN) - VCL(100)(MIN)  
)
ö
1.15 x IOUT(MAX)  
(11)  
(12)  
Example: VIN(MIN) = 4.5V, VOUT = 2.5V, IOUT(MAX) = 3A  
0.135 - 0.6 (0.135 - .025)  
RSN(MAX)  
=
= 0.02W  
1.15 (3)  
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The hysteretic threshold is derived in a similar manner, the only difference being that VSEN(peak) is compared  
VC(min) (VHYS). Notice that VHYS does not vary with the duty cycle. The hysteretic threshold is predetermined by  
the selection of RSN above. The hysteretic threshold is:  
VHYS  
0.032  
RSN  
(A), LM3477  
IHYS  
=
=
RSN  
0.011  
RSN  
(A), LM3477A  
=
(13)  
Continuing with the example above,  
0.032  
0.02  
IHYS  
=
= 1.6A, LM3477  
0.011  
0.02  
=
0.55A, LM3477A  
ö
(14)  
If the peak switch current decreases below this threshold, the LM3477/A will operate in hysteretic mode (see  
OVER VOLTAGE PROTECTION). In some designs, it will be desired to use RSL so that lower valued inductors  
can be used (see DEFAULT/ADJUSTABLE SLOPE COMPENSATION and POWER INDUCTOR SECTION).  
Using RSL will lower the current limit and the hysteretic threshold. See Figure 27. RSL effectively adds an  
additional slope to the existing slope of the VC waveform.  
200  
VCL(D)  
VCL(0)  
100  
VCL(100)  
D
VSL  
VSEN(PEAK)  
VSEN  
32  
D
VSL  
11  
0
0
20  
40  
60  
80  
100  
DUTY CYCLE (%)  
Figure 27. Current Limit and Hysteretic Threshold vs Duty Cycle with RSL  
When RSL is used, the following equations apply:  
VCL(0)(MIN) - DMAX (VCL(0)(MIN) - (VCL(100)(MIN) - 50 x 10-6 x RSL))  
RSN(MAX)  
=
VOUT(1-DMAX  
)
IOUT  
+
2 x L x fS  
VCL(0)(MIN) - DMAX (VCL(0)(MIN) - (VCL(100)(MIN) - 50 x 10-6 x RSL))  
ö
1.15 x IOUT  
(15)  
(16)  
MAX (VHYS - 50 x 10-6 x RSL x DMAX, 0)  
RSN  
(A)  
IHYS  
=
where MAX(VHYS 50x10-6 x RSL x DMAX, 0) is the smaller of the two values in the parenthesis and VHYS is  
0.032V and 0.011V for the LM3477 and LM3477A, respectively. RSL can be used creatively to intentionally lower  
the hysteretic threshold, allowing for better performance at lower loads. However, when RSL is used, there may  
be a minimum load requirement (see START-UP/SOFT-START).  
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POWER INDUCTOR SECTION  
The LM3477/A operates at a high switching frequency of 500kHz, which allows the use of small inductors. This is  
made apparent in the following set of equations used to calculate the output voltage ripple.  
ΔVOUT(Pk-Pk) ΔiL(Pk-Pk) x RESR (V)  
(17)  
VOUT (1-D)  
DiL(Pk-Pk)  
=
(A)  
L x fS  
(18)  
As the switching frequency fs increases, the inductance required for a given output voltage ripple decreases. The  
equations above for ΔVOUT and ΔiL provide criteria for choosing the inductance. The maximum voltage ripple in  
steady-state, PWM operation can be controlled by limiting ΔiL which in turn is set by the inductance value.  
Alternatively, one can simply choose ΔiL as a percentage of the maximum output current. Clearly, the size of the  
output capacitor ESR, RESR, will have an affect on which criteria is used to choose the inductance. When the  
ESR is relatively low (less than 100mΩ), such as in ceramic, OSCON, and some low ESR tantalum capacitors, it  
is convenient to choose the inductance based on setting ΔiL to 30% of Iout(max). If the ESR is high, then it may  
be necessary to restrict ΔiL to a lower value so that the output voltage ripple is not too high. Generally speaking,  
the former suggestion of setting ΔiL to 30% of IOUT(MAX) is recommended.  
The inductance also affects the stability of the converter. The slopes Sn and Sf in Figure 22 are functions of the  
inductance, while the compensation ramp, Se, is fixed by default. Therefore if the inductance is too small, the  
converter may experience sub-harmonic oscillations. The LM3477/A provides sufficient internal slope  
compensation to allow for inductances chosen according to the ΔiL = 0.3 x IOUT guideline in most cases. Still, one  
should check to make sure the inductance is not too low before continuing the design process. If it is found that  
the selected inductance is too low, a patented scheme to increase the compensation ramp, Se, is provided in the  
LM3477/A (see DEFAULT/ADJUSTABLE SLOPE COMPENSATION). In the calculations that follow, if it is found  
that the chosen inductance is too small, RSL can be used to increase Se so that the inductance can be used.  
In a current mode control architecture, there is an inherent resonance at half the switching frequency (see  
DEFAULT/ADJUSTABLE SLOPE COMPENSATION ). A convenient indicator of how much resonance exists is  
the quality factor Q. If Q is too high, subharmonic oscillations could occur, if Q is too low, the current mode  
architecture begins to act like a voltage mode architecture and the necessary compensation becomes more  
complex. This is discussed in more detail in Compensation, but here it is important to calculate Q to be sure the  
selected inductance will not cause problems to the stability of the converter. The calculations below call for an  
inductance that results in Q between 0.15 and 2. See Compensation if the chosen inductance enforces Q to be  
out of this range. By default, no extra slope compensation is needed, so RSL = 0. In general, a Q between 0.5  
and 1 is optimal.  
1
Q =  
p (mc x D' - 0.5)  
(19)  
Where,  
D' = 1D  
(20)  
(21)  
VOUT + VD  
VIN + VD - VQ -VSEN  
VOUT  
VIN  
ö
D =  
fSL(VSL+ 50 x 10-6 x RSL  
)
Se  
Sn  
1+  
1+  
1+  
=
mc =  
1.8RSNVIN D' - VQ -VSEN  
fSL(VSL+ 50 x 10-6 x RSL  
1.8RSNVIN D'  
)
ö
(22)  
VQ = VDS of the MOSFET when it is conducting IOUT*RDS(ON).  
1.8 = voltage gain of the current sense amp.  
VSEN = Voltage across the sense resistor IOUT x RSN  
Back solving for L gives a range for acceptable inductances based on a range for Q:  
1
1
VIN1.8RSN  
(
+ D-0.5)  
(
+ D-0.5)  
VIN1.8RSN  
pQMAX  
fS (VSL + 50 x 10-6 x RSL  
pQMIN  
L
Ç
Ç
fS (VSL + 50 x 10-6 x RSL  
)
)
(23)  
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It is recommended that:  
Q(max) = 2, and  
Q(min) = 0.15  
Values for VSL can be found in the Electrical Characteristics.  
Note: Adding slope compensation with RSL will decrease the current limit. An iterative process may be needed to  
meet current limit and stability requirements, see PROGRAMMING THE CURRENT LIMIT/HYSTERETIC  
THRESHOLD.  
Output Capacitor Selection  
A capacitance between 47µF - 100µF is typically used. Skip to CALCULATIONS FOR THE OUTPUT  
CAPACITOR for minimum capacitance calculations.  
TYPE OF OUTPUT CAPACITORS  
Different type of capacitors often have different combinations of capacitance, equivalent series resistance (ESR),  
and voltage ratings. High-capacitance multi-layer ceramic capacitors (MLCCs) have a very low ESR, typically  
12mΩ, but also relatively low capacitance and low voltage ratings. Tantalum capacitors can have fairly low ESR,  
such as 18mΩ, and high capacitance (up to 1mF) at higher voltage ratings than MLCCs. Aluminum capacitors  
offer high capacitance and relatively low ESR and are available in high voltage ratings. OSCON capacitors can  
achieve ESR values that are even lower than those of MLCCs and with higher capacitance, but the voltage  
ratings are low. Other tradeoffs in capacitor technology include temperature stability, surge current capability, and  
capacitance density (physical size vs. capacitance).  
OUTPUT CAPACITOR CONSIDERATIONS  
Skip to CALCULATIONS FOR THE OUTPUT CAPACITOR if a quick design is desired. While it is generally  
desired to use as little output capacitance as possible to keep costs down, the output capacitor should be chosen  
with care as it directly affects the ripple component of the output voltage as well as other components in the  
design. The output voltage ripple is directly proportional to the ESR of the output capacitor (see POWER  
INDUCTOR SECTION). Therefore, designs requiring low output voltage ripple should have an output capacitor  
with low ESR. Choosing a capacitor with low ESR has the additional benefit of requiring one less component in  
the compensation network, as discussed in Compensation.  
In addition to the output voltage ripple, the output capacitor directly affects the output voltage overshoot in a load  
transient. Two transients are possible: an unloading transient and a loading transient. An unloading transient  
occurs when the load current transitions to a higher current, and charge is unloaded from the output capacitor. A  
loading transient is when the load transitions to a lower current, and charge is loaded to the output capacitor.  
How the output voltage reacts during these transitions is known as the transient response. Both the capacitance  
and the ESR of the output capacitor will affect the transient response.  
Figure 28. A Loading Transient  
The control loop of the LM3477/A can be made fast enough to saturate the duty cycle when the worst case lode  
transient occurs. This means the duty cycle jumps to DMIN or DMAX, depending on the type of load transient. In a  
loading transient, as shown in Figure 28, the duty cycle drops to DMIN while the inductor current falls to match the  
load current. During this time, the regulator is heavily dependent on the output capacitors to handle the load  
transient. The initial overshoot is caused by the ESR of the output capacitors. How the output voltage recovers  
after that initial excursion depends on how fast the inductor current falls and how large the output capacitance is.  
See Figure 29.  
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DVc1  
Upper Voltage  
Limit  
DVc2  
VOS (MAX)  
ESR too large  
capacitance too small  
0
Time  
Figure 29. Output Voltage Overshoot Violation  
The ESR and the capacitance of the output capacitor must be carefully chosen so that the output voltage  
overshoot is within the design's specification VOS(MAX). If the total combined ESR of the output capacitors is not  
low enough, the initial output voltage excursion will violate the specification, see ΔVC1. If the ESR is low enough,  
but there is not enough output capacitance, the output voltage will travel outside the specification window due to  
the extra charge being dumped into the capacitor, see ΔVC2. The LM3477/A has output over voltage protection  
(OVP) which could trigger if the transient overshoot is high enough. If this happens, the controller will operate in  
hysteretic mode (see OVER VOLTAGE PROTECTION) for a few cycles before the output voltage settles to its  
steady state. If this behavior is not desired, substitute VOVP (referred to the output) for VOS(MAX) (VOVP is found in  
the Electrical Characteristics) to find the minimum capacitance and maximum ESR of the output capacitor.  
CALCULATIONS FOR THE OUTPUT CAPACITOR  
During a loading transient, the delta output voltage ΔVc has two changing components. One is the voltage  
difference across the ESR (ΔVr), the other is the voltage difference caused by the gained charge (ΔVq). This  
gives:  
ΔVc = ΔVr + ΔVq  
(24)  
The design objective is to keep ΔVc lower than some maximum overshoot (VOS(MAX)). VOS(MAX) is chosen based  
on the output load requirements.  
Both voltages ΔVr and ΔVqwill change with time. For ΔVr the equation is:  
VOUT - DMINVIN  
(V)  
t)  
DVr = RESR(DIOUT(MAX)  
-
L
(25)  
where,  
RESR = the output capacitor ESR  
ΔIOUT = the difference between the load current change IOUT(MAX) IOUT(MIN)  
DMIN = Minimum duty cycle of device (0.165 typical)  
Evaluating this equation at t = 0 gives ΔVr(max). Substituting VOS(MAX) for ΔVr(MAX) and solving for RESR gives:  
VOS(MAX)  
RESR(MAX)  
=
W
DIOUT(MAX)  
(26)  
(27)  
The expression for ΔVq is:  
DIOUT(MAX) VOUT - DMINVIN  
t2 (V)  
t -  
DVq =  
COUT  
2 X L X COUT  
From Figure 30 it can be told that ΔVC will reach its peak value at some point in time and then decrease. The  
larger the output capacitance is, the earlier the peak will occur. To find the peak position, let the derivative of ΔVC  
go to zero, and the result is:  
DIOUT(MAX) x L  
tpeak =  
- COUTRESR  
VOUT-DMINVIN  
(28)  
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DVc  
DVr  
DVq  
0
tpeak  
Time  
Figure 30. Output Voltage Overshoot Peak  
The intention is to find the capacitance value that will yield, at tpeak, a ΔVC that equals VOS(max). Substituting tpeak  
for t and equating ΔVC to VOS(max) gives the following solution for COUT(MIN)  
:
2
VOS(MAX)2 - (DIOUT(MAX) x RESR  
)
VOS(MAX)  
-
L
(F)  
COUT(MIN)  
=
2
(VOUT) RESR  
(29)  
The chosen output capacitance should not be less than 47µF, even if the solution for COUT(MIN) is less than 47µF.  
Notice it is already assumed that the total ESR is no greater than RESR(MAX), otherwise the term under the square  
root will be a negative number.  
Power Mosfet Selection  
The drive pin of LM3477/A must be connected to the gate of an external MOSFET. In a buck topology, the drain  
of the external N-Channel MOSFET is connected to the input and the source is connected to the inductor. The  
CB pin voltage provides the gate drive needed for an external N-Channel MOSFET. The gate drive voltage  
depends on the input voltage (see Typical Performance Characteristics). In most applications, a logic level  
MOSFET can be used. For very low input voltages, a sub-logic level MOSFET should be used.  
The selected MOSFET directly controls the efficiency. The critical parameters for selection of a MOSFET are:  
1. Minimum threshold voltage, VTH(MIN)  
2. On-resistance, RDS(ON)  
3. Total gate charge, Qg  
4. Reverse transfer capacitance, CRSS  
5. Maximum drain to source voltage, VDS(MAX)  
The off-state voltage of the MOSFET is approximately equal to the input voltage. VDS(MAX) of the MOSFET must  
be greater than the input voltage. The power losses in the MOSFET can be categorized into conduction losses  
and ac switching or transition losses. RDS(ON) is needed to estimate the conduction losses. The conduction loss,  
PCOND, is the I2R loss across the MOSFET. The maximum conduction loss is given by:  
2
Di(PK-PK)  
PCOND(MAX) = I2DMAX 1+  
1
12  
RDS(ON)  
[
]
I
(30)  
where DMAX is the maximum operating duty cycle:  
VOUT  
ö
Dmax  
VIN(MIN)  
(31)  
The turn-on and turn-off transition times of a MOSFET from the MOSFET specifications require tens of nano-  
seconds. CRSS and Qg are needed from the MOSFET specifications to estimate the large instantaneous power  
loss that occurs during these transitions.  
The average amount of gate current required to turn the MOSFET on can be calculated using the formula:  
IG = Qg.FS  
(32)  
The required gate drive power to turn the MOSFET on is equal to the switching frequency times the energy  
required to deliver the charge to bring the gate charge voltage to VDR (see Electrical Characteristics and Typical  
Performance Characteristics for the drive voltage specification).  
PDrive = FS.Qg.VDR  
(33)  
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It is sometimes helpful or necessary to slow down the turn on transition of the FET so that less switching noise  
appears at the ISEN pin. This can be done by inserting a drive resistor RDR in series with the boot-strap capacitor  
(see Figure 25). This can help reduce sensing noise that may be preventing designs from operating at or near  
the LM3477/A's minimum duty cycle limit. Gate drive resistors from 2.2Ω to 51Ω are recommended.  
Power Diode Selection  
The output current commutates through the diode when the external MOSFET turns off. The three most  
important parameters for the diode are the peak current, peak inverse voltage, and average power dissipation.  
Exceeding these ratings can cause damage to the diode. The average current through the diode is given by:  
ID(AVG) = IOUT x (1-D)  
(34)  
where D is the duty cycle and IOUT is the output current. The diode must be rated to handle this current.  
The off-state voltage across the diode in a buck converter is approximately equal to the input voltage. The peak  
inverse voltage rating of the diode must be greater than the off-state voltage of the diode. To improve efficiency,  
a low forward drop schottky diode is recommended.  
Input Capacitor Selection  
In a buck converter, the high side switch draws large ripple currents from the input capacitor. The input capacitor  
must be rated to handle this RMS current.  
VOUT(VIN-VOUT  
)
IRMS_CIN = IOUT  
VIN  
(35)  
The power dissipated in the input capacitor is given by:  
2
PD(CIN)=IRMS_CIN RESR_CIN  
,
where RESR_CIN is the ESR of the input capacitor. The input capacitor must be selected to handle the rms current  
and must be able to dissipate the power. PD(CIN) must be lower than the rated power dissipation of the selected  
input capacitor. In many cases, several capacitors have to be paralleled to handle the rms current. In that case,  
the power dissipated in each capacitor is given by:  
PD(CIN) = (I2RMS_CINRESR_CIN)/n2, where n is the total number of capacitors paralled at the input.  
A 0.1µF or 1µF ceramic bypass capacitor is also recommended on the VIN pin (pin 8) of the IC. This capacitor  
must be connected very close to pin 8.  
Compensation  
VC  
VREF  
VO  
+
+
Fc(s)  
-
-
Compensator  
Fp(s) x Fh(s)  
Power Stage  
Loop (T)  
H
Feedback  
Figure 31. Control Block Diagram of a Current Mode Controlled Buck Converter  
The LM3477/A is a current mode controller, therefore the control block diagram representation involves 2  
feedback loops (see Figure 31). The inner feedback loop derives its feedback from the sensed inductor current,  
while the outer loop monitors the output voltage. This section will not give a rigorous analysis of current mode  
control, but rather a simplified but accurate method to determine the compensation network. The first part reveals  
the results of the model, giving expressions for solving for component values in the compensation network.  
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The compensation network is designed around the power components, or the power stage. An isolated  
schematic of the error amplifier and the various compensation components is shown in Figure 32. The error  
amplifier in conjunction with the compensation network makes up the compensator block in Figure 31. The  
purpose of the compensator block is to stabilize the control loop and achieve high performance in terms of the  
transient response, audio susceptibility and output impedance.  
VOUT  
LM3477  
CFF  
RFB1  
-
FB  
GM  
+
RFB2  
RGM  
BG  
VC  
RC  
CC2  
CC1  
Figure 32. LM3477 Compensation Components  
Figure 33 shows a bode plot of a typical current mode buck regulator. It is an estimate of the actual plot using the  
asymptotic approach. The three plots shown are of the compensator, powerstage, and loop gain, which is the  
product of the power stage, compensator, and feedback gain. The loop gain determines both static and dynamic  
performance of the converter. The power stage response is fixed by the selection of the power components,  
therefore the compensator is designed around the powerstage response to achieve a good loop response.  
Specifically, the compensator is added to increase low frequency magnitude, extend the 0dB frequency  
(crossover frequency), and improve the phase characteristic.  
Open Loop (T)  
Compensator  
Power Stage  
60  
40  
20  
0
-20  
-40  
-60  
0
-45  
-90  
-135  
m
-180  
-225  
107  
102  
103  
104  
FREQUENCY (Hz)  
Poles, Zeros and Important Measurements are Labeled  
105  
106  
Figure 33. Typical Open Loop, Compensator, and Power Stage Bode Plots for LM3477 Buck Circuits  
There are several different types of compensation that can be used to improve the frequency response of the  
control loop. To determine which compensation scheme to use, some information about the power stage is  
needed.  
Use VIN = VIN(MIN) and R = RMIN (IOUT(MAX)) when calculating compensation components.  
RFB2  
H = feedback gain =  
RFB1 RFB2  
+
(36)  
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R
1
ADC  
=
1.8RSN  
R
fSL  
1+  
mc x D' - 0.5  
(37)  
Se  
Sn  
mc = 1+  
(38)  
(39)  
6  
Se = fS(VSL + 50x10  
R )  
SL  
VIND' x 1.8RSN  
Sn =  
L
(40)  
(41)  
1
1
2p  
1
COUT  
(mc x D' - 0.5)  
+
(Hz)  
fp1  
=
R
fsLCOUT  
1
(Hz)  
fESR  
=
2pCOUTRESR  
(42)  
(43)  
1
Q =  
p (mc x D' - 0.5)  
With the power stage known, a compensator can be designed to achieve improved performance and stability.  
The LM3477/A will typically require only a single resistor and capacitor for compensation, but depending on the  
power stage it could require three or four external components.  
It is a good idea to check that Q is between 0.15 and 2, if it was not already done when selecting the inductor. If  
Q is less than 0.15 or greater than 2, skip to SAMPLING POLE QUALITY FACTOR before continuing with the  
compensator design.  
First, a target crossover frequency (fc) for the loop gain must be selected. The crossover frequency is the  
bandwidth of the converter. A higher bandwidth generally corresponds to faster response times and lower  
overshoots to load transients. However, the bandwidth should not be much higher than 1/10 the switching  
frequency. The LM3477/A operates with a 500kHz switching frequency, so it is recommended to choose a  
crossover frequency between 10kHz - 50kHz.  
The schematic of the LM3477/A compensator is shown in Figure 32. The default design uses Rc and CC1 to form  
a lag (type 2) compensator. The CC2 capacitor can be added to form an additional pole that is typically used to  
cancel out the esr zero of the output capacitor. Finally, if extra phase margin is needed, the Cff capacitor can be  
added (this does not help at low output voltages, see below).  
The strategy taken here for choosing Rc and CC1 is to set the crossover frequency with Rc, and set the  
compensator zero with CC1. Using the selected target crossover frequency, fC, set RC to:  
fC x RGM  
W
RC  
=
ADC x GM x RGM x H x fP1 - fC  
(44)  
fC = Crossover frequency in Hertz (20kHz - 50kHz is recommended)  
RGM = 50x103Ω  
GM = 1000x106 A/V  
The compensator zero, fZ1, is set with CC1. When fast transient responses are desired, fZ1 should be placed as  
high as possible, however it should not be higher than the selected crossover frequency fC. The guideline  
proposed here is to choose CC1 such that fZ1 falls somewhere between the power pole fP1 and ½ decade before  
the selected crossover frequency fc:  
3.16  
2pfCRC  
1
Ç
Ç
CC1  
2pfp1RC  
(45)  
In this compensation scheme, the pole created by CC2 is used to cancel out the zero created by the ESR of the  
output capacitor. In other schemes such as the methods discussed in SAMPLING POLE QUALITY FACTOR, the  
ESR zero is used. For the typical case, use CC2 if:  
fS  
fESR  
<
2
(46)  
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RGM + RC  
(F)  
CC2  
=
2pfESR RGMRC  
(47)  
PLOTTING THE OPEN LOOP RESPONSE  
The open loop response is expressed as:  
T = ADC x ACM x H x Fp(s) x Fc(s)  
Where ADC and H are given above and  
ACM = GM x RGM  
s
1 +  
2pfESR  
FP(S)  
=
s
1 +  
2pfp1  
(48)  
1
Fh(s) =  
2
1
pfs  
1
pfsQ  
s2  
+ 1  
+ s  
(49)  
(50)  
(sCC1RC + 1)  
sCC1RGM (RGM + RC) + 1  
, CC2 not used  
FC(s) =  
(sCC1RC + 1)  
s2CC1CC2RCRGM + s(CC2RGM + CC1(RGM + RC)) + 1  
, CC2 used  
FC(s) =  
(51)  
One can plot the magnitude and phase of the open loop response to analyze the frequency response.  
EXAMPLE: COMPENSATION DESIGN  
4.5V VIN 5.5V  
VOUT = 2.5V  
IOUT = 3A (R = 0.83Ω)  
RSN = 0.02Ω  
L = 3.3µH  
RSL = 0Ω  
COUT = 100µF  
RESR = 0.01Ω  
First, calculate the power stage parameters using VIN(MIN) and R(MAX)  
:
1.27  
2.5  
H = feedback gain =  
= 0.508  
(52)  
(53)  
0.83  
1
= 15.5  
ADC  
=
1.8 x 0.02  
0.83  
[(3.36(0.44) - 0.5]  
1+  
(500 x 103)(3.3 x 10-6)  
1
2p  
1
1
fp1  
=
+
(500 x 103)(3.3 x 10-6)(100 x 10-6)  
(100 x 10-6)(0.83)  
= 2.86 kHz  
(3.36)(0.44) - 0.5  
]
[
(54)  
(55)  
1
fESR  
=
= 159kHz  
2p(100 x 10-6)(0.01)  
1
Q =  
= 0.33  
p[(3.36)(0.44) - 0.5]  
(56)  
In this example, a crossover frequency of 20kHz is chosen, so: fC = 20000. RC is now calculated using the power  
stage information and the target crossover frequency fC:  
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(20 x 103)(50 x 103)  
(15.5)(0.001)(50 x 103)(0.508)(2.86 x 103) - (20 x 103)  
RC  
=
= 904W  
(57)  
This sets the high frequency gain of the compensator such that a crossover frequency of fC is obtained. The  
capacitor CC1 sets the compensator zero, fZ2. Set fZ2 between the power pole fP1 and the ½ decade before the  
target crossover frequency fC:  
3.16  
1
2p(20 x 103)(900) Ç  
Ç 2p(2.86 x 103)(900)  
CC1  
Ç
Ç
62 nF  
CC1  
28 nF  
(58)  
Choosing CC1 = 62 x 109 F will set fZ2 = fP1, canceling out the power pole and insuring a 20dB/decade slope in  
the low frequency magnitude response. In other words, the phase margin below the crossover frequency will  
always be higher than the phase margin at the crossover frequency.  
If better transient response times are desired, a second method is to set fZ2 between fP1 and ½ decade before fC,  
the target crossover frequency. This trades more low frequency gain for less phase margin, which translates to  
faster but more oscillatory step responses. We pick CC1 = 47nF.  
If the esr zero of the output capacitor (fESR) is too low or if more phase margin is required, additional components  
may be added to increase the flexibility of the compensator.  
Use CC2 if fESR < ½ fS, that is if:  
1
250kHz  
<
2pCOUTRESR  
(59)  
For this example, fESR = 159 kHz, so use CC2  
.
50 x 103 + 900  
2p (.159 x 103) (50 x 103) (900)  
CC2  
=
= 1.1 nF  
(60)  
The equations used here for RC, CC1, and CC2 are approximations valid when CC2 << CC1. For exact equations,  
see PLOTTING THE OPEN LOOP RESPONSE. In some cases, the desired inductance is several times higher  
than the optimal inductance set by the internal slope compensation. This results in a Q lower than 0.15, in which  
case additional methods of compensating are presented (see SAMPLING POLE QUALITY FACTOR).  
BW = 16.7 kHz  
PM = 61 degrees  
60  
40  
20  
0
-20  
-40  
-60  
0
-50  
-100  
-150  
-180  
-200  
-250  
101  
102  
103  
104  
105  
106  
Frequency (Hz)  
Figure 34. Open Loop Frequency Response for LM3477 Compensation Design Example  
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SAMPLING POLE QUALITY FACTOR  
In a current mode control architecture, there is an inherent resonace at half the switching frequency. The  
LM3477/A internally compensates for this by adding a negative slope to the PWM control waveform (see  
DEFAULT/ADJUSTABLE SLOPE COMPENSATION). The factor in the power stage equations above, Q,  
describes how much resonance will be observed. Q is a function of duty cycle and mc. Figure 35 shows how the  
power stage bode plot is affected as Q is varied from 0.01 to 10. The resonance is caused by two complex poles  
at half the switching frequency. If mc is too low, the resonant peaking could become severe coinciding with  
subharmonic oscillations in the inductor current. If mc is too high, the two complex poles split and the converter  
begins to act like a voltage mode converter and the compensation scheme used above should be changed.  
Plotted Q values: 0.01, 0.05, 0.1, 0.2, 0.5, 1, 2, 10  
40  
Q = 10  
0
-40  
-80  
Q = 0.01  
-120  
0
Q = 10  
-50  
-100  
-150  
-200  
-250  
-300  
Q = 0.01  
102  
103  
104  
105  
106  
107  
FREQUENCY (Hz)  
The Quality Factor Q of the Two Complex Poles is used to qualify how much resonant peaking is observed in the  
Power Stage Bode Plot  
Figure 35.  
If Q>2, the sampling poles are imaginary and are approaching the right half of the imaginary plane (the system is  
becoming unstable). In this case, Q must be decreased by either increasing the inductance, or more preferably,  
adding more slope compensation through the RSL resistor (see DEFAULT/ADJUSTABLE SLOPE  
COMPENSATION).  
If Q<0.15, it means that one of the sampling poles is decreasing in frequency towards the dominant power pole,  
fp1. There are three ways to compensate for this. Decrease the crossover frequency, add a phase lead network,  
or use the output capacitor's ESR to cancel out the low frequency sampling pole.  
One option is to decrease the crossover frequency so that the phase margin is not as severely decreased by the  
sampling pole. Decreasing the crossover frequency to between 1kHz to 10kHz is advisable here. As a result,  
there will be a decrease in transient response performance.  
Another option is the use of the feed-forward capacitor, Cff. This will provide a positive phase shift (lead) which  
can be used to increase phase margin. However, it is important to note that the effectiveness of Cff decreases  
with output voltage. This is due to the fact that the frequencies of the zero fzff and pole fpff get closer together as  
the output voltage is reduced.  
The frequency of the feed-forward zero and pole are:  
1
fzff  
=
(Hz)  
2pRFB1Cff  
(61)  
(62)  
RFB1 RFB2  
VOUT  
VFB  
+
1
fpff  
=
= fzff  
(Hz)  
2pRFB1Cff  
RFB2  
A third option is to strategically place the ESR zero fESR of the output capacitor to cancel out the sampling pole.  
In this case, the capacitor CC2 will not be used to cancel out fESR. fESR should be placed around the crossover  
frequency fc, but this will depend on how low Q is.  
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REVISION HISTORY  
Changes from Revision J (March 2013) to Revision K  
Page  
Changed layout of National Data Sheet to TI format .......................................................................................................... 27  
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PACKAGE OPTION ADDENDUM  
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30-Sep-2021  
PACKAGING INFORMATION  
Orderable Device  
Status Package Type Package Pins Package  
Eco Plan  
Lead finish/  
Ball material  
MSL Peak Temp  
Op Temp (°C)  
Device Marking  
Samples  
Drawing  
Qty  
(1)  
(2)  
(3)  
(4/5)  
(6)  
LM3477AMM/NOPB  
LM3477AMMX/NOPB  
LM3477MM/NOPB  
LM3477MMX  
ACTIVE  
ACTIVE  
ACTIVE  
NRND  
VSSOP  
VSSOP  
VSSOP  
VSSOP  
DGK  
DGK  
DGK  
DGK  
8
8
8
8
1000 RoHS & Green  
3500 RoHS & Green  
1000 RoHS & Green  
SN  
Level-1-260C-UNLIM  
Level-1-260C-UNLIM  
Level-1-260C-UNLIM  
Level-1-260C-UNLIM  
-40 to 125  
-40 to 125  
-40 to 125  
-40 to 125  
S13A  
S13A  
S13B  
S13B  
SN  
SN  
3500  
Non-RoHS  
& Green  
Call TI  
LM3477MMX/NOPB  
ACTIVE  
VSSOP  
DGK  
8
3500 RoHS & Green  
SN  
Level-1-260C-UNLIM  
-40 to 125  
S13B  
(1) The marketing status values are defined as follows:  
ACTIVE: Product device recommended for new designs.  
LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect.  
NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in a new design.  
PREVIEW: Device has been announced but is not in production. Samples may or may not be available.  
OBSOLETE: TI has discontinued the production of the device.  
(2) RoHS: TI defines "RoHS" to mean semiconductor products that are compliant with the current EU RoHS requirements for all 10 RoHS substances, including the requirement that RoHS substance  
do not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered at high temperatures, "RoHS" products are suitable for use in specified lead-free processes. TI may  
reference these types of products as "Pb-Free".  
RoHS Exempt: TI defines "RoHS Exempt" to mean products that contain lead but are compliant with EU RoHS pursuant to a specific EU RoHS exemption.  
Green: TI defines "Green" to mean the content of Chlorine (Cl) and Bromine (Br) based flame retardants meet JS709B low halogen requirements of <=1000ppm threshold. Antimony trioxide based  
flame retardants must also meet the <=1000ppm threshold requirement.  
(3) MSL, Peak Temp. - The Moisture Sensitivity Level rating according to the JEDEC industry standard classifications, and peak solder temperature.  
(4) There may be additional marking, which relates to the logo, the lot trace code information, or the environmental category on the device.  
(5) Multiple Device Markings will be inside parentheses. Only one Device Marking contained in parentheses and separated by a "~" will appear on a device. If a line is indented then it is a continuation  
of the previous line and the two combined represent the entire Device Marking for that device.  
(6)  
Lead finish/Ball material - Orderable Devices may have multiple material finish options. Finish options are separated by a vertical ruled line. Lead finish/Ball material values may wrap to two  
lines if the finish value exceeds the maximum column width.  
Addendum-Page 1  
PACKAGE OPTION ADDENDUM  
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Important Information and Disclaimer:The information provided on this page represents TI's knowledge and belief as of the date that it is provided. TI bases its knowledge and belief on information  
provided by third parties, and makes no representation or warranty as to the accuracy of such information. Efforts are underway to better integrate information from third parties. TI has taken and  
continues to take reasonable steps to provide representative and accurate information but may not have conducted destructive testing or chemical analysis on incoming materials and chemicals.  
TI and TI suppliers consider certain information to be proprietary, and thus CAS numbers and other limited information may not be available for release.  
In no event shall TI's liability arising out of such information exceed the total purchase price of the TI part(s) at issue in this document sold by TI to Customer on an annual basis.  
Addendum-Page 2  
PACKAGE MATERIALS INFORMATION  
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TAPE AND REEL INFORMATION  
REEL DIMENSIONS  
TAPE DIMENSIONS  
K0  
P1  
W
B0  
Reel  
Diameter  
Cavity  
A0  
A0 Dimension designed to accommodate the component width  
B0 Dimension designed to accommodate the component length  
K0 Dimension designed to accommodate the component thickness  
Overall width of the carrier tape  
W
P1 Pitch between successive cavity centers  
Reel Width (W1)  
QUADRANT ASSIGNMENTS FOR PIN 1 ORIENTATION IN TAPE  
Sprocket Holes  
Q1 Q2  
Q3 Q4  
Q1 Q2  
Q3 Q4  
User Direction of Feed  
Pocket Quadrants  
*All dimensions are nominal  
Device  
Package Package Pins  
Type Drawing  
SPQ  
Reel  
Reel  
A0  
B0  
K0  
P1  
W
Pin1  
Diameter Width (mm) (mm) (mm) (mm) (mm) Quadrant  
(mm) W1 (mm)  
LM3477AMM/NOPB  
LM3477AMMX/NOPB  
LM3477MM/NOPB  
LM3477MMX  
VSSOP  
VSSOP  
VSSOP  
VSSOP  
VSSOP  
DGK  
DGK  
DGK  
DGK  
DGK  
8
8
8
8
8
1000  
3500  
1000  
3500  
3500  
178.0  
330.0  
178.0  
330.0  
330.0  
12.4  
12.4  
12.4  
12.4  
12.4  
5.3  
5.3  
5.3  
5.3  
5.3  
3.4  
3.4  
3.4  
3.4  
3.4  
1.4  
1.4  
1.4  
1.4  
1.4  
8.0  
8.0  
8.0  
8.0  
8.0  
12.0  
12.0  
12.0  
12.0  
12.0  
Q1  
Q1  
Q1  
Q1  
Q1  
LM3477MMX/NOPB  
Pack Materials-Page 1  
PACKAGE MATERIALS INFORMATION  
www.ti.com  
9-Aug-2022  
TAPE AND REEL BOX DIMENSIONS  
Width (mm)  
H
W
L
*All dimensions are nominal  
Device  
Package Type Package Drawing Pins  
SPQ  
Length (mm) Width (mm) Height (mm)  
LM3477AMM/NOPB  
LM3477AMMX/NOPB  
LM3477MM/NOPB  
LM3477MMX  
VSSOP  
VSSOP  
VSSOP  
VSSOP  
VSSOP  
DGK  
DGK  
DGK  
DGK  
DGK  
8
8
8
8
8
1000  
3500  
1000  
3500  
3500  
208.0  
367.0  
208.0  
367.0  
367.0  
191.0  
367.0  
191.0  
367.0  
367.0  
35.0  
35.0  
35.0  
35.0  
35.0  
LM3477MMX/NOPB  
Pack Materials-Page 2  
IMPORTANT NOTICE AND DISCLAIMER  
TI PROVIDES TECHNICAL AND RELIABILITY DATA (INCLUDING DATA SHEETS), DESIGN RESOURCES (INCLUDING REFERENCE  
DESIGNS), APPLICATION OR OTHER DESIGN ADVICE, WEB TOOLS, SAFETY INFORMATION, AND OTHER RESOURCES “AS IS”  
AND WITH ALL FAULTS, AND DISCLAIMS ALL WARRANTIES, EXPRESS AND IMPLIED, INCLUDING WITHOUT LIMITATION ANY  
IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE OR NON-INFRINGEMENT OF THIRD  
PARTY INTELLECTUAL PROPERTY RIGHTS.  
These resources are intended for skilled developers designing with TI products. You are solely responsible for (1) selecting the appropriate  
TI products for your application, (2) designing, validating and testing your application, and (3) ensuring your application meets applicable  
standards, and any other safety, security, regulatory or other requirements.  
These resources are subject to change without notice. TI grants you permission to use these resources only for development of an  
application that uses the TI products described in the resource. Other reproduction and display of these resources is prohibited. No license  
is granted to any other TI intellectual property right or to any third party intellectual property right. TI disclaims responsibility for, and you  
will fully indemnify TI and its representatives against, any claims, damages, costs, losses, and liabilities arising out of your use of these  
resources.  
TI’s products are provided subject to TI’s Terms of Sale or other applicable terms available either on ti.com or provided in conjunction with  
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Copyright © 2022, Texas Instruments Incorporated  

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