LP2975
LP2975 MOSFET LDO Driver/Controller
Literature Number: SNVS006E
LP2975
June 23, 2011
MOSFET LDO Driver/Controller
General Description
A high-current LDO regulator is simple to design with the
LP2975 LDO Controller. Using an external P-FET, the
LP2975 will deliver an ultra low dropout regulator with ex-
tremely low quiescent current.
High open loop gain assures excellent regulation and ripple
rejection performance.
The trimmed internal bandgap reference provides precise
output voltage over the entire operating temperature range.
Dropout voltage is “user selectable” by sizing the external
FET: the minimum input-output voltage required for operation
is the maximum load current multiplied by the RDS(ON) of the
FET.
Overcurrent protection of the external FET is easily imple-
mented by placing a sense resistor in series with VIN. The
57 mV detection threshold of the current sense circuitry min-
imizes dropout voltage and power dissipation in the resistor.
The standard product versions available provide output volt-
ages of 5.0V, or 3.3V with guaranteed 25°C accuracy of 1.5%
(“A” grade) and 2.5% (standard grade).
Features
Simple to use, few external components
Ultra-small mini SO-8 package
1.5% (A grade) precision output voltage
Low-power shutdown input
< 1 µA in shutdown
Low operating current (180 µA typical @ VIN = 5V)
Wide supply voltage range (1.8V to 24V)
Built-in current limit amplifier
Overtemperature protection
5.0V, and 3.3V standard output voltages
Can be programmed using external divider
−40°C to +125°C junction temperature range
Applications
High-current 5V to 3.3V regulator
Post regulator for switching converter
Current-limited switch
Block Diagram
10003401
*RSET values are: 208k for 12V part, 72.8k for 5V part, and 39.9k for 3.3V part.
© 2011 National Semiconductor Corporation 100034 www.national.com
LP2975 MOSFET LDO Driver/Controller
Ordering Information
TABLE 1. Package Marking and Ordering Information
Output Voltage Grade Order Information Package Marking Supplied As:
12 A LP2975AIMMX-12 L47A -
12 STD LP2975IMMX-12 L47B -
5.0 A LP2975AIMMX-5.0 L46A Reel of 3500 Units
5.0 A LP2975AIMM-5.0 L46A Reel of 1000 Units
5.0 STD LP2975IMMX-5.0 L46B Reel of 3500 Units
5.0 STD LP2975IMM-5.0 L46B Reel of 1000 Units
3.3 A LP2975AIMM-3.3 L45A Reel of 1000 Units
3.3 STD LP2975IMM-3.3 L45B Reel of 1000 Units
For LP2975 Ordering and Availability Information see: http://www.national.com/mpf/LP/LP2975.html#Order
Connection Diagram
8-Lead Mini-SOIC Surface Mount Package
10003402
Device Pin 6 (N / C) has no internal connection
Top View
For Order Numbers
See Table 1 of this Document
See NS Package Number MUA08A
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LP2975
Absolute Maximum Ratings (Note 1)
Storage Temperature Range −65°C to +150°C
Lead Temp. (Soldering, 5 seconds) 260°C
ESD Rating 2 kV
Power Dissipation (Note 2) Internally Limited
Input Supply Voltage (Survival) −0.3V to +26V
Current Limit Pins (Survival) −0.3V to +VIN
Comp Pin (Survival) −0.3V to +2V
Gate Pin (Survival) −0.3V to +VIN
ON/OFF Pin (Survival) −0.3V to +20V
Feedback Pin (Survival) −0.3V to +24V
Operating Ratings
Junction Temperature, TJ−40°C to +125°C
Input Supply Voltage, VIN +1.8V to +24V
Electrical Characteristics
Limits in standard typeface are for TJ = 25°C, and limits in boldface type apply over the full operating junction temperature range.
Unless otherwise specified: VON/OFF = 1.5V, VIN = 15V.
Symbol Parameter Conditions Typ
LM2975AI-X.X
(Note 3)
LM2975I-X.X
(Note 3)Units
Min Max Min Max
VREG
Regulation Voltage
(12V Versions)
12.5 < VIN < 24V
(VIN - 0.5V) > VGATE > (VIN - 5V) 12.0 11.820
11.640
12.180
12.360
11.700
11.520
12.300
12.480
V
Regulation Voltage
(5V Versions)
5.5 < VIN < 24V
(VIN - 0.5V) > VGATE > (VIN - 4.5V) 5.0 4.925
4.850
5.075
5.150
4.875
4.800
5.125
5.200
Regulation Voltage
(3.3V Versions)
3.8 < VIN < 24V
(VIN - 0.5V) > VGATE > (VIN - 3.3V) 3.3 3.250
3.201
3.350
3.399
3.217
3.168
3.383
3.432
VCOMP Comp Pin Voltage VREG < VIN < 24V 1.240 1.215
1.209
1.265
1.271
1.203
1.196
1.277
1.284 V
IQQuiescent Current VIN = 5V 180 240
320 240
320 µA
VON/OFF = 0V 0.01 1 1
VCL
Current Limit
Sense Voltage
VIN = 15V
VFB = 0.9 X VREG
57 45
39
69
72
45
39
69
72 mV
VON/OFF ON/OFF Threshold
Output = ON 0.94 1.10
1.20 1.10
1.20
V
Output = OFF 0.87 0.70
0.40 0.70
0.40
ION/OFF
ON/OFF
Input Bias Current VON/OFF = 1.5V 34 50
75 50
75 µA
IG
Gate Drive Current
(Sourcing)
VG = 7.5V
VFB = 1.1 X VREG
3.5 1.3
0.3 1.3
0.3 mA
Gate Drive Current
(Sinking)
VG = 7.5V
VFB = 0.9 X VREG
1100 350
40 350
40 µA
VG(MIN) Gate Clamp Voltage VIN = 24V
VFB = 0.9 X VREG
17 15 19 15 19 V
R(VIN-G) Resistance from
Gate to VIN
VIN = 24V
VON/OFF = 0 500 k
Open Loop
Voltage Gain
VIN = 15V
0.5V VGATE 13 5000 V/V
Note 1: Absolute Maximum Ratings indicate limits beyond which damage to the component may occur. Electrical specifications do not apply when operating the
device outside of its rated operating conditions.
Note 2: The LP2975 has internal thermal shutdown which activates at a die temperature of about 150°C. It should be noted that the power dissipated within the
LP2975 is low enough that this protection circuit should never activate due to self-heating, even at elevated ambient temperatures.
Note 3: Limits are 100% production tested at 25°C. Limits over the operating temperature range are guaranteed through correlation using Statistical Quality
Control (SQC) methods. The limits are used to calculate National's Average Outgoing Quality Level (AOQL).
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LP2975
Typical Application Circuits
5V - 3.3V @ 5A LDO Regulator
10003403
* See Application Hints: Feed-Forward Capacitor.
** If current limiting is not required, short out this resistor.
Adjustable Voltage 5A LDO Regulator
10003404
* See Application Hints: ADJUSTING THE OUTPUT VOLTAGE.
*** If current limiting is not required, short out this resistor.
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LP2975
Typical Performance Characteristics Unless otherwise specified: TA = 25°C, CIN = 1 µF, ON/OFF pin
is tied to 1.5V.
Minimum Operating Voltage
10003405
VIN Referred Gate Clamp Voltage
10003406
ON/OFF Threshold
10003407
Current Limit Sense Voltage
10003408
ON/OFF Pin Current
10003409
Supply Current
10003410
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LP2975
ON/OFF Input Resistance
10003411
Gate Current
10003434
Gate-Ground Saturation
10003413
Line Regulation
10003414
Load Regulation
10003415
Leakage Current
10003435
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LP2975
Controller Gain and Phase Response
10003436
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LP2975
Reference Designs
The LP2975 controller can be used with virtually any P-chan-
nel MOSFET to build a wide variety of linear voltage regula-
tors.
Since it would be impossible to document all the different
voltage and current combinations that could be built, a num-
ber of reference designs will be presented along with perfor-
mance data for each.
THE PERFORMANCE DATA SHOWN IS ACTUAL TEST
DATA, BUT IS NOT GUARANTEED. The following reference
designs have been confirmed with TA = 25°C only, and no
design consideration is given for operating at any other am-
bient temperature.
DESIGN #1: VOUT = 5V @ 5A
(Refer to Typical Application Circuits)
Components
CIN = 82 µF Aluminum Electrolytic
COUT = 120 µF Aluminum Electrolytic
CF = 220 pF
RSC = 10 m
P-FET = NDP6020P
Heatsink: (assuming VIN 7V and TA 60°C) if protection
against a continuous short-circuit is required, a heatsink with
θS-A 1.5 °C/W must be used. However, if continuous short-
circuit survivability is not needed, a heatsink with θS-A
6 °C/W is adequate.
Performance Data
Dropout Voltage
Dropout voltage is defined as the minumum input-to-output
differential voltage required by the regulator to keep the out-
put in regulation. It is measured by reducing VIN until the
output voltage drops below the nominal value (the nominal
value is the output voltage measured with VIN = 5.5V). IL = 5A
for this test.
DROPOUT VOLTAGE = 323 mV
Load Regulation
Load regulation is defined as the maximum change in output
voltage as the load current is varied. It is measured by chang-
ing the load resistance and recording the minimum/maximum
output voltage. The measured change in output voltage is di-
vided by the nominal output voltage and expressed as a
percentage. VIN = 5.6V for this test.
5 mA IL 5A: LOAD REGULATION = 0.012%
0 IL 5A: LOAD REGULATION = 0.135%
Line Regulation
Line regulation is defined as the maximum change in output
voltage as the input voltage is varied. It is measured by
changing the input voltage and recording the minimum/max-
imum output voltage. The measured change in output voltage
is divided by the nominal output voltage and expressed as a
percentage. IL = 5A for this test.
5.4V VIN 10V: LINE REGULATION = 0.03%
Output Noise Voltage
Output noise voltage was measured by connecting a wide-
band AC voltmeter (HP 400E) directly across the output ca-
pacitor. VIN = 6V and IL = 5A for this test.
NOISE = 75 µV (rms)
Transient Response
Transient response is defined as the change in output voltage
which occurs after the load current is suddenly changed. VIN
= 5.6V for this test.
The load resistor is connected to the regulator output using a
switch so that the load current increases from 0 to 5A abruptly.
The change in output voltage is shown in the scope photo
below (the vertical scale is 200 mV/division and the horizontal
scale is 10 µs/division). The regulator nominal output (5V) is
located on the center line of the photo.
The output shows a maximum change of about −600 mV
compared to nominal. This is due to the relatively small output
capacitor chosen for this design. Increasing COUT greatly im-
proves transient response (see Designs #2 and #3).
10003437
Transient Response for 0–5A Load Step
DESIGN #2: VOUT = 3V @ 0.5A
(Refer to Typical Application Circuits, Adjustable Voltage
Regulator)
Components
CIN = 68 µF Tantalum
COUT = 2 X 68 µF Tantalum
CC = 470 pF
R1 = 237 kΩ, 1%
R2 = NOT USED
RSC = 0.1Ω
Tie feedback pin to VOUT
P-FET = NDT452P
Heatsink: Tab of N-FET is soldered down to 0.6 in2 copper
area on PC board.
Output Voltage Adjustment: For this application, a 3.3V part
is “trimmed” down to 3V by using a single external 237 k
resistor at R1, which parallels the internal 39.9 k resistor
(reducing the effective resistance to 34.2 kΩ).
Because the tempco of the external resistor will not match the
tempco of the internal resistor (which is typically 3000 ppm),
this method of adjusting VOUT by using a single resistor is only
recommended in cases where the output voltage is adjusted
10% away from the nominal value.
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LP2975
Performance Data
Dropout Voltage
Dropout voltage is defined as the minimum input-to-output
differential voltage required by the regulator to keep the out-
put in regulation. It is measured by reducing VIN until the
output voltage drops below the nominal value (the nominal
value is the output voltage measured with VIN = 5V). IL = 0.5A
for this test.
DROPOUT VOLTAGE = 141 mV
Load Regulation
Load regulation is defined as the maximum change in output
voltage as the load current is varied. It is measured by chang-
ing the load resistance and recording the minimum/maximum
output voltage. The measured change in output voltage is di-
vided by the nominal output voltage and expressed as a
percentage. VIN = 3.5V for this test.
0 IL 0.5A: LOAD REGULATION = 0.034%
Line Regulation
Line regulation is defined as the maximum change in output
voltage as the input voltage is varied. It is measured by
changing the input voltage and recording the minimum/max-
imum output voltage. The measured change in output voltage
is divided by the nominal output voltage and expressed as a
percentage. IL = 0.5A for this test.
3.5V VIN 6V: LINE REGULATION = 0.017%
Output Noise Voltage
Output noise voltage was measured by connecting a wide-
band AC voltmeter (HP 400E) directly across the output ca-
pacitor. VIN = 5V and IL = 0.5A for this test.
NOISE = 85 µV (rms)
Transient Response
Transient response is defined as the change in output voltage
which occurs after the load current is suddenly changed. VIN
= 3.5V for this test.
The load resistor is connected to the regulator output using a
switch so that the load current increases from 0 to 0.5A
abruptly. The change in output voltage is shown in the scope
photo (the vertical scale is 20 mV/division and the horizontal
scale is 50 µs/division). The regulator nominal output (3V) is
located on the center line of the photo. A maximum change
of about −50 mV is shown.
10003438
Transient Response for 0–0.5A Load Step
Minimizing COUT
It is often desirable to decrease the value of COUT to save cost
and reduce size. The design guidelines suggest selecting
COUT to set the first pole 200 Hz (see later section Output
Capacitor), but this is not an absolute requirement in all cases.
The effect of reducing COUT is to decrease phase margin. As
phase margin is decreased, the output ringing will increase
when a load step is applied to the output. Eventually, if
COUT is made small enough, the regulator will oscillate.
To demonstrate these effects, the value of COUT in reference
design #2 is halved by removing one of the two 68 µF output
capacitors and the transient response test is repeated (see
photo below). The total overshoot increases from −50 mV to
about −75 mV, and the second “ring” on the transient is no-
ticeably larger.
10003439
Transient Response with Output Capacitor Halved
The design is next tested with only a 4.7 µF output capacitor
(see scope photo below). Observe that the vertical scale has
been increased to 100 mV/division to accommodate the −250
mV undershoot. More important is the severe ringing as the
transient decays. Most designers would recognize this imme-
diately as the warning sign of a marginally stable design.
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LP2975
10003440
Transient Response with Only 4.7 µF Output Cap
The reason this design is marginally stable is that the 4.7 µF
output capacitor (along with the 6 output load) sets the pole
fp at 5 kHz. Analysis shows that the unity-gain frequency of
the loop is increased to about 100 kHz, allowing the FET's
gate capacitance pole fpg to cause significant phase shift be-
fore the loop gain goes below unity. Also, because of the low
output voltage, the feedforward capacitor provides less than
10° of positive phase shift. For good stability, the output capc-
itor needs to be larger than 4.7 µF.
For detailed information on stability and phase margin, see
the Application Hints section.
DESIGN #3: VOUT = 1.5V @ 6A.
(Refer to Typical Application Circuits, Adjustable Voltage
Regulator)
Components
CIN = 1000 µF Aluminum Electrolytic
COUT = 4 X 330 µF OSCON Aluminum Electrolytic
CC = NOT USED
R1 = 261Ω, 1%
R2 = 1.21 kΩ, 1%
RSC = 6 m
P-FET = NDP6020P
Heatsink: (Assuming VIN 3.3V and TA 60°C) if protection
against a continuous short-circuit is required, a heatsink with
θS-A < 2.5 °C/W must be used. However, if continuous short-
circuit survivability is not needed, a heatsink with θS-A <
7 °C/W is adequate.
Performance Data
Dropout Voltage
Dropout voltage is defined as the minimum input-to-output
differential voltage required by the regulator to keep the out-
put in regulation. It is measured by reducing VIN until the
output voltage drops below the nominal value (the nominal
value is the output voltage measured with VIN = 3.3V). IL = 6A
for this test.
DROPOUT VOLTAGE = 0.68V
Load Regulation
Load regulation is defined as the maximum change in output
voltage as the load current is varied. It is measured by chang-
ing the load resistance and recording the minimum/maximum
output voltage. The measured change in output voltage is di-
vided by the nominal output voltage and expressed as a
percentage. VIN = 3.3V for this test.
0 IL 6A: LOAD REGULATION = 0.092%
Line Regulation
Line regulation is defined as the maximum change in output
voltage as the input voltage is varied. It is measured by
changing the input voltage and recording the minimum/max-
imum output voltage. The measured change in output voltage
is divided by the nominal output voltage and expressed as a
percentage. IL = 6A for this test.
3.3V VIN 5V: LINE REGULATION = 0.033%
Output Noise Voltage
Output noise voltage was measured by connecting a wide-
band AC voltmeter (HP 400E) directly across the output ca-
pacitor. VIN = 3.3V and IL = 6A for this test.
NOISE = 60 µV (rms)
Transient Response
Transient response is defined as the change in output voltage
which occurs after the load current is suddenly changed. VIN
= 3.3V for this test.
The load resistor is connected to the regulator output using a
switch so that the load current increases from 0 to 6A abruptly.
The change in output voltage is shown in the scope photo (the
vertical scale is 50 mV/division and the horizontal scale is 20
µs/division. The regulator nominal output (1.5V) is located on
the center line of the photo. A maximum change of about −80
mV is shown.
10003441
Transient Response for 0–6A Load Step
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LP2975
Application Hints
SELECTING THE FET
The best choice of FET for a specific application will depend
on a number of factors:
VOLTAGE RATING: The FET must have a Drain-to-Source
breakdown voltage (sometimes called BVDSS) which is
greater than the input voltage.
DRAIN CURRENT: On-state Drain current must be specified
to be greater than the worst-case (short circuit) load current
for the application.
TURN-ON THRESHOLD: The Gate-to-Source voltage where
the FET turns on (called the Gate Threshold Voltage) is very
important. Many FET's are intended for use with G-to-S volt-
ages in the 5V to 10V range. These should only be used in
applications where the input voltage is high enough to provide
>5V of drive to the Gate.
Newer FET's are becoming available with lower turn-on
thresholds (Logic-Level FET's) which turn on fully with a gate
voltage of only 3V to 4V. Low threshold FET's should be used
in applications where the input voltage is 5V.
ON RESISTANCE: FET on resistance (often called RDSON)
is a critical parameter since it directly determines the mini-
mum input-to-output voltage required for operation at a given
load current (also called dropout voltage).
RDSON is highly dependent on the amount of Gate-to-Source
voltage applied. For example, the RDSON of a FET with VG-
S = 5V will typically decrease by about 25% as the VG-S is
increased to 10V. RDSON is also temperature dependent, in-
creasing at higher temperatures.
The dropout voltage of any LDO design is directly related to
RDSON, as given by:
VDROPOUT = ILOAD × (RDSON + RSC)
Where RSC is the short-circuit current limit set resistor (see
Application Circuit).
GATE CAPACITANCE: Selecting a FET with the lowest pos-
sible Gate capacitance improves LDO performance in two
ways:
1) The Gate pin of the LP2975 (which drives the Gate of the
FET) has a limited amount of current to source or sink. This
means faster changes in Gate voltage (which corresponds to
faster transient response) will occur with a smaller amount of
Gate capacitance.
2) The Gate capacitance forms a pole in the loop gain which
can reduce phase margin. When possible, this pole should be
kept at a higher frequency than the cross-over frequency of
the regulator loop (see later section CROSS-OVER FRE-
QUENCY AND PHASE MARGIN).
A high value of Gate capacitance may require that a feedfor-
ward capacitor be used to cancel some of the excess phase
shift (see later section FEED-FORWARD CAPACITOR) to
prevent loop instability.
POWER DISSIPATION: The maximum power dissipated in
the FET in any application can be calculated from:
PMAX = (VIN − VOUT) × IMAX
Where the term IMAX is the maximum output current. It should
be noted that if the regulator is to be designed to withstand
short-circuit, a current sense resistor must be used to limit
IMAX to a safe value (refer to section SHORT-CIRCUIT CUR-
RENT LIMITING).
The power dissipated in the FET determines the best choice
for package type. A TO-220 package device is best suited for
applications where power dissipation is less than 15W. Power
levels above 15W would almost certainly require a TO-3 type
device.
In low power applications, surface-mount package devices
are size-efficient and cost-effective, but care must be taken
to not exceed their power dissipation limits.
POWER DISSIPATION AND HEATSINKING
Since the LP2975 controller is suitable for use with almost any
external P-FET, it follows that designs can be built which have
very high power dissipation in the pass FET. Since the con-
troller can not protect the FET from overtemperature damage,
thermal design must be carefully done to assure a reliable
design.
THERMAL DESIGN METHOD: The temperature of the FET
and the power dissipated is defined by the equation:
TJ = (θJ-A × PD) + TA
Where:
TJ is the junction temperature of the FET.
TA is the ambient temperature.
PD is the power dissipated by the FET.
θJ-A is the junction-to-ambient thermal resistance.
To ensure a reliable design, the following guidelines are rec-
ommended:
1) Design for a maximum (worst-case) FET junction temper-
ature which does not exceed 150°C.
2) Heatsinking should be designed for worst-case (maximum)
values of TA and PD.
3) In designs which must survive a short circuit on the output,
the maximum power dissipation must be calculated assuming
that the output is shorted to ground:
PD(MAX) = VIN × ISC
Where ISC is the short-circuit output current.
4) If the design is not intended to be short-circuit proof, the
maximum power dissipation for intended operation will be:
PD(MAX) = (VIN − VOUT) × IMAX
Where IMAX is the maximum output current.
LOW POWER (<2W) APPLICATIONS: In most cases, some
type of small surface-mount device will be used for the FET
in low power designs. Because of the increased cell density
(and tiny packages) used by modern FET's, the current car-
rying capability may easily exceed the power dissipation limits
of the package. It is possible to parallel two or more FET's,
which divides the power dissipation among all of the pack-
ages.
It should be noted that the “heatsink” for a surface mount
package is the copper of the PC board and the package itself
(direct radiation).
Surface-mount devices have the value of θJ-A specified for a
typical PC board mounting on their data sheet. In most cases
it is best to start with the known data for the application (PD,
TA, TJ) and calculate the required value of θJ-A needed. This
value will define the type of FET and, possibly, the heatsink
required for cooling.
θJ-A = (TJ − TA)/PD(MAX)
DESIGN EXAMPLE: A design is to be done with VIN = 5V and
VOUT = 3.3V with a maximum load current of 300 mA. Based
on these conditions, power dissipation in the FET during nor-
mal operation would be:
PD = (VIN − VOUT) × ILOAD
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LP2975
Solving, we find that PD = 0.51W. Assuming that the maximum
allowable value of TJ is 150°C and the maximum TA is 70°C,
the value of θJ-A is found to be 157°C/W.
However, if this design must survive a continuous short on the
output, the power dissipated in the FET is higher:
PD(SC) = VIN × ISC = 5 × 0.33 = 1.65W
(This assumes the current sense resistor is selected for an
ISC value that is 10% higher than the required 0.3A).
The value of θJ-A required to survive continuous short circuit
is calculated to be 49°C/W.
Having solved for the value(s) of θJ-A, a FET can be selected.
It should be noted that a FET must be used with a θJ-A value
less than or equal to the calculated value.
HIGH POWER (2W) APPLICATIONS: As power dissipation
increases above 2W, a FET in a larger package must be used
to obtain lower values of θJ-A. The same formulae derived in
the previous section are used to calculate PD and θJ-A.
Having found θJ-A, it becomes necessary to calculate the val-
ue of θS-A (the heatsink-to-ambient thermal resistance) so that
a heatsink can be selected:
θS-A = θJ-A − (θJ-C + θC-S)
Where:
θJ-C is the junction-to-case thermal resistance. This pa-
rameter is the measure of thermal resistance between the
semiconductor die inside the FET and the surface of the case
of the FET where it mounts to the heatsink (the value of θJ-C
can be found on the data sheet for the FET). A typical FET in
a TO-220 package will have a θJ-C value of approximately 2–
4°C/W, while a device in a TO-3 package will be about 0.5–
2°C/W.
θC-S is the case-to-heatsink thermal resistance, which
measures how much thermal resistance exists between the
surface of the FET and the heatsink. θC-S is dependent on the
package type and mounting method. A TO-220 package with
mica insulator and thermal grease secured to a heatsink will
have a θC-S value in the range of 1–1.5°C/W. A TO-3 package
mounted in the same manner will have a θC-S value of 0.3–
0.5°C/W. The best source of information for this is heatsink
catalogs (Wakefield, AAVID, Thermalloy) since they also sell
mounting hardware.
θS-A is the heatsink-to-ambient thermal resistance, which
defines how well a heatsink transfers heat into the air. Once
this is determined, a heatsink must be selected which has a
value which is less than or equal to the computed value. The
value of θS-A is usually listed in the manufacturer's data sheet
for a heatsink, but the information is sometimes given in a
graph of temperature rise vs. dissipated power.
DESIGN EXAMPLE: A design is to be done which takes 3.3V
in and provides 2.5V out at a load current of 7A. The power
dissipation will be calculated for both normal operation and
short circuit conditions.
For normal operation:
PD = (VIN − VOUT) × ILOAD = 5.6W
If the output is shorted to ground:
PD(SC) = VIN × ISC = 3.3 × 7.7 = 25.4W
(Assuming that a sense resistor is selected to set the value of
ISC 10% above the nominal 7A).
θJ-A will be calculated assuming a maximum TA of 70°C and
a maximum TJ of 150°C:
θJ-A = (TJ − TA)/PD(MAX)
For normal operation:
θJ-A = (150 − 70) / 5.6 = 14.3°C/W
For designs which must operate with the output shorted to
ground:
θJ-A = (150 − 70) / 25.4 = 3.2°C/W
The value of 14.3°C/W can be easily met using a TO-220 de-
vice. Calculating the value of θS-A required (assuming a value
of θJ-C = 3°C/W and θC-S = 1°C/W):
θS-A = θJ-A − (θJ-C + θC-S)
θS-A = 14.3 − (3 + 1) = 10.3°C/W
Any heatsink may be used with a thermal resistance 10.3°
C/W @ 5.6W power dissipation (refer to manufacturer's data
sheet curves). Examples of suitable heatsinks are Thermalloy
#6100B and IERC #LATO127B5CB.
However, if the design must survive a sustained short on the
output, the calculated θJ-A value of 3.2°C/W eliminates the
possibility of using a TO-220 package device.
Assuming a TO-3 device is selected with a θJ-C value of 1.5°
C/W and θC-S = 0.4°C/W, we can calculate the required value
of θS-A:
θS-A = θJ-A − (θJ-C + θC-S)
θS-A = 3.2 − (1.5 + 0.4) = 1.3°C/W
A θS-A value 1.3°C/W would require a relatively large
heatsink, or possibly some kind of forced airflow for cooling.
SHORT-CIRCUIT CURRENT LIMITING
Short-circuit current limiting is easily implemented using a
single external resistor (RSC). The value of RSC can be cal-
culated from:
RSC = VCL / ISC
Where:
ISC is the desired short circuit current.
VCL is the current limit sense voltage.
The value of VCL is 57 mV (typical), with guaranteed limits
listed in the Electrical Characteristics section. When doing a
worst-case calculation for power dissipation in the FET, it is
important to consider both the tolerance of VCL and the toler-
ance (and temperature drift) of RSC.
For maximum accuracy, the INPUT and CURRENT LIMIT
pins must be Kelvin connected to RSC, to avoid errors caused
by voltage drops along the traces carrying the current from
the input supply to the Source pin of the FET.
EXTERNAL CAPACITORS
The best capacitors for use in a specific design will depend
on voltage and load current (examples of tested circuits for
several different output voltages and currents are provided in
a previous section.)
Information in the next sections is provided to aid the designer
in the selection of the external capacitors.
Input Capacitor
Although not always required, an input capacitor is recom-
mended. Good bypassing on the input assures that the reg-
ulator is working from a source with a low impedance, which
improves stability. A good input capacitor can also improve
transient response by providing a reservoir of stored energy
that the regulator can utilize in cases where the load current
demand suddenly increases. The value used for CIN may be
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LP2975
increased without limit. Refer to the Reference Designs sec-
tion for examples of input capacitors.
Output Capacitor
The output capacitor is required for loop stability (compensa-
tion) as well as transient response. During sudden changes
in load current demand, the output capacitor must source or
sink current during the time it takes the control loop of the
LP2975 to adjust the gate drive to the pass FET. As a general
rule, a larger output capacitor will improve both transient re-
sponse and phase margin (stability). The value of COUT may
be increased without limit.
OUTPUT CAPACITOR AND COMPENSATION: Loop com-
pensation for the LP2975 is derived from COUT and, in some
cases, the feed-forward capacitor CF (see next section).
COUT forms a pole (referred to as fp) in conjuction with the load
resistance which causes the loop gain to roll off (decrease) at
an additional −20 dB/decade. The frequency of the pole is:
fp = 0.16 / [ (RL + ESR) × COUT]
Where:
RL is the load resistance.
COUT is the value of the output capacitor.
ESR is the equivalent series resistance of COUT.
As a general guideline, the frequency of fp should be 200
Hz. It should be noted that higher load currents correspond to
lower values of RL, which requires that COUT be increased to
keep fp at a given frequency.
DESIGN EXAMPLE: Select the minimum required output ca-
pacitance for a design whose output specifications are 5V @
1A:
fp = 0.16 / [ (RL + ESR) × COUT]
Re-written:
COUT = 0.16 / [fp × (RL + ESR) ]
Values used for the calculation:
fp = 200 Hz, RL = 5Ω, ESR = 0.1Ω (assumed).
Solving for COUT, we get
157 μ
F (nearest standard size would
be 180 μF).
The ESR of the output capacitor is very important for stability,
as it creates a zero (fz) which cancels much of the phase shift
resulting from one of the poles present in the loop. The fre-
quency of the zero is calculated from:
fz = 0.16 / (ESR × COUT)
For best results in most designs, the frequency of fz should
fall between 5 kHz and 50 kHz. It must be noted that the val-
ues of COUT and ESR usually vary with temperature (severely
in the case of aluminum electrolytics), and this must be taken
into consideration.
For the design example (VOUT = 5V @ 1A), select a capacitor
which meets the fz requirements. Solving the equation for
ESR yields:
ESR = 0.16 / (fz × COUT)
Assuming fz = 5 kHz and 50 kHz, the limiting values of ESR
for the 180 μF capacitor are found to be:
18 m ESR 0.18Ω
A good-quality, low-ESR capacitor type such as the Pana-
sonic HFQ is a good choice. However, the 10V/180 µF ca-
pacitor (#ECA-1AFQ181) has an ESR of 0.3 which is not in
the desired range.
To assure a stable design, some of the options are:
1) Use a different type capacitor which has a lower ESR such
as an organic-electrolyte OSCON.
2) Use a higher voltage capacitor. Since ESR is inversely
proportional to the physical size of the capacitor, a higher
voltage capacitor with the same C value will typically have a
lower ESR (because of the larger case size). In this example,
a Panasonic ECA-1EFQ181 (which is a 180 µF/25V part) has
an ESR of 0.17 and would meet the desired ESR range.
3) Use a feed-forward capacitor (see next section).
Feed-Forward Capacitor
Although not required in every application, the use of a feed-
forward capacitor (CF) can yield improvements in both phase
margin and transient response in most designs.
The added phase margin provided by CF can prevent oscil-
lations in cases where the required value of COUT and ESR
can not be easily obtained (see previous section).
CF can also reduce the phase shift due to the pole resulting
from the Gate capacitance, stabilizing applications where this
pole occurs at a low frequency (before cross-over) which
would cause oscillations if left uncompensated (see later sec-
tion GATE CAPACITANCE POLE FREQUENCY).
Even in a stable design, adding CF will typically provide more
optimal loop response (faster settling time). For these rea-
sons, the use of a feed-forward capacitor is always rec-
ommended.
CF is connected across the top resistor in the divider used to
set the output voltage (see Typical Application Circuit). This
forms a zero in the loop response (defined as fzf), whose fre-
quency is:
fzf = 6.6 × 10−6 / [CF × (VOUT / 1.24 − 1) ]
When solved for CF, the fzf equation is:
CF = 6.6 × 10−6 / [fzf × (VOUT / 1.24 − 1) ]
For most applications, fzf should be set between 5 kHz and
50 kHz.
ADJUSTING THE OUTPUT VOLTAGE
If an output voltage is required which is not available as a
standard voltage, the LP2975 can be configured as an ad-
justable regulator (see Typical Application Circuits). The ex-
ternal resistors R1 and R2 (along with the internal 24 k
resistor) set the output voltage.
The use of any external resistors to alter the LP2975 pre-set
output voltage is outside the guaranteed operating conditions.
Output voltage accuracy with external resistors will be inferior
when compared to the tolerances of the LP2975 pre-set volt-
ages options, and some external trim mechanism may be
needed to achieve an acceptable initial accuracy of the cus-
tom output voltage. Users of this methodology are strongly
encouraged to confirm that their custom circuit meets all of
their performance requirements.
It is important to note that the external R2 is connected in
parallel with the internal 24 k resistor (typical). If we define
REQ as the total resistance between the COMP pin and
ground, then its value will be the parallel combination of R2
and 24 kΩ:
REQ = (R2 × 24k) / (R2 + 24k)
It follows that the output voltage will be:
VOUT = 1.24 [ (R1 / REQ) + 1]
Some important considerations for an adjustable LP2975 de-
sign:
13 www.national.com
LP2975
The tolerance of the internal 24 k resistor is about ±20%.
Also, its temperature coefficient is almost certainly different
than the TC of any external resistor that is used for R2.
For these reasons, it is recommended that R2 be set at a val-
ue that is not greater than 1.2k. In this way, the value of R2
will dominate REQ, and the tolerance and TC of the internal
24k resistor will have a negligible effect on output voltage ac-
curacy.
While this guideline for the value of R2 will generally provide
adequate performance when operating with TA = 25°C, it is
important to note that loading the COMP pin with 1.2k, or
less, to ground will impair device operation at elevated tem-
peratures. For operation at temperatures above approximate-
ly 50°C it is recommended that the value of R2 should not be
less than approximately 5kΩ.
To determine the value for R1:
R1 = REQ [ (VOUT / 1.24) − 1]
External Capacitors (Adjustable Application)
All information in the previous section EXTERNAL CAPACI-
TORS applies to the adjustable application with the exception
of how to select the value of the feed-forward capacitor.
The feed-forward capacitor CC in the adjustable application
(see Typical Application Circuit) performs exactly the same
function as described in the previous section FEEDFOR-
WARD CAPACITOR. However, because R1 is user-selected,
a different formula must be used to determine the value of
CC:
CC = 1 / (2 π × R1 × fzf)
As stated previously, the optimal frequency at which to place
the zero fzf is usually between 5 kHz and 50 kHz.
OPTIMIZING DESIGN STABILITY
Because the LP2975 can be used with a variety of different
applications, there is no single set of components that are
best suited to every design. This section provides information
which will enable the designer to select components that op-
timize stability (phase margin) for a specific application.
Gate Capacitance
An important consideration of a design is to identify the fre-
quency of the pole which results from the capacitance of the
Gate of the FET (this pole will be referred to as fpg). As fpg
gets closer to the loop crossover frequency, the phase margin
is reduced. Information will now be provided to allow the total
Gate capacitance to be calculated so that fpg can be approx-
imated.
The first step in calculating fp is to determine how much ef-
fective Gate capacitance (CEFF) is present. The formula for
calculating CEFF is:
CEFF = CGS + CGD [1 + Gm (RL / / ESR) ]
Where:
CGS is the Gate-to-Source capacitance, which is found from
the values (refer to FET data sheet for values of CISS and
CRSS):
CGS = CISS − CRSS
GGD is the Gate-to-Drain capacitance, which is equal to:
CGD = CRSS
Gm is the transconductance of the FET. The FET data sheet
specifies forward transconductance (Gfs) at some value of
drain current (defined as ID). To find Gm at the desired value
of load current (defined as IL), use the formula:
Gm = Gfs × (IL / ID)1/2
Where:
RL is the load resistance.
ESR is the equivalent series resistance of the output ca-
pacitor.
The term RL / / ESR is defined as:
(RL × ESR) / (RL + ESR)
It can be seen from these equations that CEFF varies with
RL. To get the worst-case (maximum) value for CEFF, use the
maximum value of load current, which also means the mini-
mum value of load resistance RL. It should be noted that in
most cases, the ESR is the dominant term which determines
the value of RL / / ESR.
Gate Pin Output Impedance
10003420
Gate Capacitance Pole Frequency (fpg)
The pole frequency resulting from the Gate capacitance
CEFF is defined as fpg and can be approximated from:
fpg ≃ 0.16 / (RO × CEFF)
Where:
RO is the output impedance of the LP2975 Gate pin which
drives the Gate of the FET. It is important to note that RO is a
function of input supply voltage (see graph GATE PIN OUT-
PUT IMPEDANCE).As shown, the minimum value of RO is
about 550 @ VIN = 24V, increasing to about 1.55 k @
VIN = 3V.
Using the equation for fpg, a family of curves are provided
showing how fpg varies with CEFF for several values of RO (see
graph fpg vs. CEFF):
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LP2975
fpg vs. CEFF
10003421
As can be seen in the graph, values of CEFF in the
500 pF–2500 pF range produce values for fpg between
40 kHz and 700 kHz. To determine what effect fpg will have
on stability, the bandwidth of the regulator loop must be cal-
culated (see next section CROSSOVER FREQUENCY AND
PHASE MARGIN).
Crossover Frequency and Phase Margin
The term fc will be used to define the crossover frequency of
the regulator loop (which is the frequency where the gain
curve crosses the 0 dB axis). The importance of this frequen-
cy is that it is the point where the loop gain goes below unity,
which marks the usable bandwidth of the regulator loop.
It is the phase margin (or lack of it) at fc that determines
whether the regulator is stable. Phase margin is defined as
the total phase shift subtracted from 180°. In general, a stable
loop requires at least 20°-30° of phase margin at fc.
fc can be approximated by the following equation (all terms
have been previously defined):
10003423
This equation assumes that no CF is used and fpg/fc > 1.
If the frequency of the Gate capacitance pole fpg has been
calculated (previous section), the amount of added phase
shift may now be determined. As shown in the graph below
(see graph PHASE SHIFT DUE TO fpg), the amount of added
phase shift increases as fpg approaches fc.
The amount of phase shift due to fpg that can occur before
oscillation takes place depends on how much added phase
shift is present as a result of the COUT pole (see previous sec-
tion OUTPUT CAPACITOR).
Phase Shift Due to fpg
10003422
Because of this, there is no exact number for fpg/fc that can
be given as a fixed limit for stable operation. However, as a
general guideline, it is recommended that fpg 3 fc.
If this is not found to be true after inital calculations, the ratio
of fpg/fc can be increased by either reducing CEFF (selecting a
different FET) or using a larger value of COUT.
Along with these two methods, another technique for improv-
ing loop stability is the use of a feed-forward capacitor (see
next section FEED-FORWARD COMPENSATION). This can
improve phase margin by cancelling some of the excess
phase shift.
Feed-Forward Compensation
Phase shift in the loop gain of the regulator results from fp (the
pole from the output capacitor and load resistance), fpg (the
pole from the FET gate capacitance), as well as the IC's in-
ternal controller pole (see typical curve). If the total phase shift
becomes excessive, instability can result.
The total phase shift can be reduced using feed-forward com-
pensation, which places a zero in the loop to reduce the
effects of the poles.
The feed-forward capacitor CF can accomplish this, provided
it is selected to set the zero at the correct frequency. It is im-
portant to point out that the feed-forward capacitor produces
both a zero and a pole. The frequency where the zero occurs
will be defined as fzf, and the frequency of the pole will be
defined as fpf. The equations to calculate the frequencies are:
fzf = 6.6 × 10-6/ [CF × (VOUT/1.24 − 1) ]
fpf = 6.6 × 10-6/ [CF × (1 − 1.24/VOUT)]
In general, the feed-forward capacitor gives the greatest im-
provement in phase margin (provides the maximum reduction
in phase shift) when the zero occurs at a frequency where the
loop gain is >1 (before the crossover frequency). The pole
must occur at a higher frequency (the higher the better) where
most of the phase shift added by the new pole occurs beyond
the crossover frequency. For this reason, the pole-zero pair
created by CF become more effective at improving loop sta-
bility as they get farther apart in frequency.
In reviewing the equations for fzf and fpf, it can be seen that
they get closer together in frequency as VOUT decreases. For
this reason, the use of CF gives greatest benefit at higher out-
put voltages, declining as VOUT approaches 1.24V (where
CF has no effect at all).
In selecting a value of feed-forward capacitor, the crossover
frequency fc must first be calculated. In general, the frequency
of the zero (fzf) set by this capacitor should be in the range:
15 www.national.com
LP2975
0.2 fc fzf 1.0 fc
The equation to determine the value of the feed-forward ca-
pacitor in fixed-voltage applications is:
CF = 6.6 × 10-6/ [fzf × (VOUT/1.24 − 1) ]
In adjustable applications (using an external resistive divider)
the capacitor is found using:
CC = 1/(2 π × R1 × fzf)
Summary of Stability Information
This section will present an explanation of theory and termi-
nology used to analyze loop stability, along with specific
information related to stabilizing LP2975 applications.
Bode Plots and Phase Shift
Loop gain information is most often presented in the form of
a Bode Plot, which plots Gain (in dB) versus Frequency (in
Hertz).
A Bode Plot also conveys phase shift information, which can
be derived from the locations of the poles and zeroes.
POLE: A pole causes the slope of the gain curve to decrease
by an additional −20 dB/decade, and it also causes phase
lag (defined as negative phase shift) to occur.
A single pole will cause a maximum −90° of phase lag (see
graph EFFECTS OF A SINGLE POLE). It should be noted
that when the total phase shift at 0 dB reaches (or gets close
to) −180°, oscillations will result. Therefore, it can be seen that
at least two poles in the gain curve are required to cause
instability.
ZERO: A zero has an effect that is exactly opposite to a
pole. A zero will add a maximum +90° of phase lead (defined
as positive phase shift). Also, a zero causes the slope of the
gain curve to increase by an additional +20 dB/decade (see
graph EFFECTS OF A SINGLE ZERO).
Effects of a Single Pole
10003425
Total phase shift
The actual test of whether or not a regulator is stable is the
amount of phase shift that is present when the gain curve
crosses the 0 dB axis (the frequency where this occurs was
previously defined as fc).
The phase shift at fc can be estimated by looking at all of the
poles and zeroes on the Bode plot and adding up the contri-
butions of phase lag and lead from each one. As shown in the
graphs, most of the phase lag (or lead) contributed by a pole
(or zero) occurs within one decade of the frequency of the
pole (or zero).
In general, a phase margin (defined as the difference be-
tween the total phase shift and −180°) of at least 20° to 30° is
required for a stable loop.
Effects of a Single Zero
10003426
Stability Analysis of Typical Applications
The first application to be analyzed is a fixed-output voltage
regulator with no feed-forward capacitor (see graph STABLE
PLOT WITHOUT FEED-FORWARD).
Stable Plot without Feed-Forward
10003427
In this example, the value of COUT is selected so that the pole
formed by COUT and RL (previously defined as fp) is set at 200
Hz. The ESR of COUT is selected so that zero formed by the
ESR and COUT (defined as fz) is set at 5 kHz (these selections
follow the general guidelines stated previously in this docu-
ment). Note that the gate capacitance is assumed to be
moderate, with the pole formed by the CGATE (defined as fpg)
occurring at 100 kHz.
To estimate the total phase margin, the individual phase shift
contributions of each pole and zero will be calculated assum-
ing fp = 200 Hz, fz = 5 kHz, fc = 10 kHz and fpg = 100 kHz:
Controller pole shift = −90°
fp shift = −arctan (10k/200) = −89°
fz shift = arctan (10k/5k) = +63°
fpg shift = −arctan (10k/100k) = −6°
Summing the four numbers, the estimate for the total phase
shift is −122°, which corresponds to a phase margin of
58°. This application is stable, but could be improved by using
a feed-forward capacitor (see next section).
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LP2975
EFFECT OF FEED-FORWARD: The example previously
used will be continued with the addition of a feed-forward ca-
pacitor CF (see graph IMPROVED PHASE MARGIN WITH
FEED-FORWARD). The zero formed by CF (previously de-
fined as fzf) is set at 10 kHz and the pole formed by CF
(previously defined as fpf) is set at 40 kHz (the 4X ratio of fpf/
fzf corresponds to VOUT = 5V).
Improved Phase Margin with Feed-Forward
10003428
To estimate the total phase margin, the individual phase shift
contributions of each pole and zero will be calculated assum-
ing fp = 200 Hz, fz = 5 kHz, fzf = 10 kHz, fpf = 40 kHz,
fc = 50 kHz, and fpg= 100 kHz:
Controller pole shift = −90°
fp shift = −arctan (50k/200) = −90°
fz shift = arctan (50k/5k) = +84°
fzf shift = arctan (50k/100k) = +79°
fpf shift = −arctan (50k/40k) = −51°
fpg shift = −arctan (50k/100k) = −27°
Summing the six numbers, the estimate for the total phase
shift is −95°, which corresponds to a phase margin of 85°
(a 27° improvement over the same application without the
feed-forward capacitor).
For this reason, a feed-forward capacitor is recommended in
all applications. Although not always required, the added
phase margin typically gives faster settling times and provides
some design guard band against COUT and ESR variations
with temperature.
Causes and Cures of Oscillations
The most common cause of oscillations in an LDO application
is the output capacitor ESR. If the ESR is too high or too low,
the zero (fz) does not provide enough phase lead.
HIGH ESR: To illustrate the effect of an output capacitor with
high ESR, the previous example will be repeated except that
the ESR will be increased by a factor of 20X. This will cause
the frequency of the zero fz to decrease by 20X, which moves
it from 5 kHz down to 250 Hz (see graph HIGH ESR UNSTA-
BLE WITHOUT FEED-FORWARD).
High ESR Unstable without Feed-Forward
10003429
As shown, moving the location of fz lower in frequency ex-
tends the bandwidth, pushing the crossover frequency fc out
to about 200 kHz. In viewing the plot, it can be seen that fp
and fz essentially cancel out, leaving only the controller pole
and fpg. However, since fpg now occurs well before fc, it will
cause enough phase shift to leave very little phase margin.
This application would either oscillate continuously or be
marginally stable (meaning it would exhibit severe ringing on
transient steps).
This can be improved by adding a feed-forward capacitor
CF, which adds a zero (fzf) and a pole (fpf) to the gain plot (see
graph HIGH ESR CORRECTED WITH FEED-FORWARD).
In this case, CF is selected to place fzf at about the same fre-
quency as fpg (essentially cancelling out the phase shift due
to fpg). Assuming the added pole fpf is near or beyond the fc
frequency, it will add < 45° of phase lag, leaving a phase mar-
gin of > 45° (adequate for good stability).
High ESR Corrected with Feed-Forward
10003431
LOW ESR: To illustrate how an output capacitor with low ESR
can cause an LDO regulator to oscillate, the same example
will be shown except that the ESR will be reduced sufficiently
to increase the original fz from 5 kHz to 50 kHz.
The plot now shows (see graph LOW ESR UNSTABLE WITH-
OUT FEED-FORWARD) that the crossover frequency fc has
moved down to about 8 kHz. Since fz is 6X fc, it means that
the zero fz can only provide about 9° of phase lead at fc, which
is not sufficient for stability.
17 www.national.com
LP2975
Low ESR Unstable without Feed-Forward
10003430
This application can also be improved by adding a feed-for-
ward capacitor. CF will add both a zero fzf and pole fpf to the
gain plot (see graph LOW ESR CORRECTED WITH FEED-
FORWARD).
The crossover frequency fc is now about 10 kHz. If CF is se-
lected so that fzf is about 5 kHz, and fpf is about 20 kHz (which
means VOUT = 5V), the phase margin will be considerably im-
proved. Calculating out all the poles and zeroes, the phase
margin is increased from 9° to 43° (adequate for good stabil-
ity).
Low ESR Corrected with Feed-Forward
10003432
EXCESSIVE GATE CAPACITANCE: Higher values of gate
capacitance shift the pole fpg to lower frequencies, which can
cause stability problems (see previous section GATE CA-
PACITANCE POLE FREQUENCY). As shown in the graph
fpg vs. CEFF, the pole fpg will likely fall somewhere between 40
kHz and 500 kHz. How much phase shift this adds depends
on the crossover frequency fc.
The effect of gate capacitance becomes most important at
high values of ESR for the output capacitor (see graph HIGH
ESR UNSTABLE WITHOUT FEED-FORWARD). Higher val-
ues of ESR increase fc, which brings fpg more into the positive
gain portion of the curve. As fpg moves to a lower frequency
(corresponding to higher values of gate capacitance), this ef-
fect becomes even worse.
This points out why FET's should be selected with the lowest
possible gate capacitance: it makes the design more tolerant
of higher ESR values on the output capacitor.
The use of a feed-forward capacitor CF will help reduce ex-
cess phase shift due to fpg, but its effectiveness depends on
output voltage (see next section).
LOW OUTPUT VOLTAGE AND CF
The feed-forward capacitor CF will provide a positive phase
shift (lead) which can be used to cancel some of the excess
phase lag from any of the various poles present in the loop.
However, it is important to note that the effectiveness of CF
decreases with output voltage.
This is due to the fact that the frequencies of the zero fzf and
pole fpf get closer together as the output voltage is reduced
(see equations in section FEED-FORWARD COMPENSA-
TION).
CF is more effective when the pole-zero pair are farther apart,
because there is less self cancellation. The net benefit in
phase shift provided by CF is the difference between the lead
(positive phase shift) from fzf and the lag (negative phase shift)
from fpf which is present at the crossover frequency fc. As the
pole and zero frequency approach each other, that difference
diminishes to nothing.
The amount of phase lead at fC provided by CF depends both
on the fzf/fpf ratio and the location of fz with respect to fc. To
illustrate this more clearly, a graph is provided which shows
how much phase lead can be obtained for VOUT = 12V, 5V,
and 3.3V (see graph PHASE LEAD PROVIDED BY CF).
Phase Lead Provided by CF
10003433
The most important information on the graph is the frequency
range of fzf which will provide the maximum benefit (most
positive phase shift):
For VOUT = 12V: 0.1 fc < fz < 1.0 fc
For VOUT = 5V: 0.2 fc < fz < 1.2 fc
For VOUT = 3.3V: 0.2 fc < fz < 1.3 fc
It's also important to note how the maximum available phase
shift that CF can provide drops off with VOUT. At 12V, more
than 50° can be obtained, but at 3.3V less than 30° is possible.
The lesson from this is that higher voltage designs are more
tolerant of phase shifts from both fpg (the gate capacitance
pole) and incorrect placement of fz (which means the output
capacitor ESR is not at its nominal value). At lower values of
VOUT, these parameters must be more precisely selected
since CF can not provide as much correction.
GENERAL DESIGN PROCEDURE
Assuming that VIN, VOUT, and RL are defined:
1) Calculate the required value of capacitance for COUT so that
the pole fp 200 Hz (see previous section OUTPUT CAPAC-
ITOR). For this calculation, an ESR of about 0.1 can be
assumed for the purpose of determining COUT.
IMPORTANT: If a smaller value of output capacitor is used
(so that the value of fp >200 Hz), the phase margin of the
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LP2975
control loop will be reduced. This will result in increased ring-
ing on the output voltage during a load transient. If the output
capacitor is made extremely small, oscillations will result.
To illustrate this effect, scope photos have been presented
showing the output voltage of reference design #2 as the out-
put capacitor is reduced to approximately 1/30 of the nominal
value (the value which sets fp = 200 Hz). As shown, the effect
of deviating from the nominal value is gradual and the regu-
lator is quite robust in resisting going into oscillations.
2) Approximate the crossover frequency fc using the equation
in the previous section CROSSOVER FREQUENCY AND
PHASE MARGIN.
3) Calculate the required ESR of the output capacitor so that
the frequency of the zero fz is set to 0.5 fc (see previous sec-
tion OUTPUT CAPACITOR).
4) Calculate the value of the feed-forward capacitor CF so that
the zero fzf occurs at the frequency which yields the maximum
phase gain for the output voltage selected (see previous sec-
tion LOW OUTPUT VOLTAGE AND CF). The formula for
calculating CF is in the previous section FEED-FORWARD
CAPACITOR.
Lower ESR electrolytics are available which use organic elec-
trolyte (OSCON types), but are more costly than typical alu-
minum electrolytics.
If the calculated value of ESR is higher than what is found in
the selected capacitor, an external resistor can be placed in
series with COUT.
LOW VOLTAGE DESIGNS: Designs which have a low output
voltage (where the positive effects of CF are very small) may
be marginally stable if the COUT and ESR values are not care-
fully selected.
Also, if the FET gate capacitance is large (as in the case of a
high-current FET), the pole fpg could possibly get low enough
in frequency to cause a problem.
The solution in both cases is to increase the amount of output
capacitance which will shift fp to a lower frequency (and re-
duce overall loop bandwidth). The ESR and CF calculations
should be repeated, since this changes the crossover fre-
quency fc.
19 www.national.com
LP2975
Physical Dimensions inches (millimeters) unless otherwise noted
8-Lead Mini-SOIC Surface Mount Package
NS Package Number MUA08A
www.national.com 20
LP2975
Notes
21 www.national.com
LP2975
Notes
LP2975 MOSFET LDO Driver/Controller
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