Micrel MIC4723YMME 3a 2mhz integrated switch buck regulator Datasheet

MIC4723
3A 2MHz Integrated Switch
Buck Regulator
General Description
Features
The Micrel MIC4723 is a high efficiency PWM buck (stepdown) regulator that provides up to 3A of output current.
The MIC4723 operates at 2.0MHz and has proprietary
internal compensation that allows a closed loop bandwidth
of over 200KHz.
The low on-resistance internal p-channel MOSFET of the
MIC4723 allows efficiencies over 92%, reduces external
components count and eliminates the need for an
expensive current sense resistor.
The MIC4723 operates from 2.7V to 5.5V input and the
output can be adjusted down to 1V. The devices can
operate with a maximum duty cycle of 100% for use in lowdropout conditions.
The MIC4723 is available in the exposed pad 12-pin
3mm x 3mm MLF® and 10-pin ePAD MSOP packages with
a junction operating range from –40°C to +125°C.
Data sheets and support documentation can be found on
Micrel’s web site at: www.micrel.com.
•
•
•
•
•
•
•
•
•
•
•
•
•
•
2.7/3.0V to 5.5V supply voltage
2.0MHz PWM mode
Output current to 3A
Up to 94% efficiency
100% maximum duty cycle
Adjustable output voltage option down to 1V
Ultra-fast transient response
Ultra-small external components
Stable with a 1µH inductor and a 4.7µF output
capacitor
Fully integrated 3A MOSFET switch
Micropower shutdown
Thermal shutdown and current limit protection
Pb-free 12-pin 3mm x 3mm MLF® package
Pb-free 10-pin ePAD MSOP package
–40°C to +125°C junction temperature range
Applications
• FPGA/DSP/ASIC applications
• General point of load
• Broadband communications
• DVD/TV recorders
• Point of sale
• Printers/Scanners
• Set top boxes
• Computing peripherals
• Video cards
___________________________________________________________________________________________________________
Typical Application
96
94
92
MIC4723
3.3VOUT Efficiency
4.5VIN
90
88
86
5VIN
5.5VIN
84
82
80
3A 2MHz Buck Regulator
78
76
0
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
3
MLF and MicroLeadFrame are registered trademarks of Amkor Technology, Inc.
Micrel Inc. • 2180 Fortune Drive • San Jose, CA 95131 • USA • tel +1 (408) 944-0800 • fax + 1 (408) 474-1000 • http://www.micrel.com
June 2008
M9999-060308-E
Micrel, Inc.
MIC4723
Ordering Information
Part Number
Voltage
Temperature Range
Package
Lead Finish
®
MIC4723YML
Adj.
–40° to +125°C
12-Pin 3x3 MLF
MIC4723YMME
Adj.
–40° to +125°C
10-Pin ePAD MSOP
Pb-Free
Pb-Free
Note
®
MLF is a GREEN RoHS compliant package. Lead finish is NiPdAu. Mold compound is Halogen Free.
Pin Configuration
SW 1
12 SW
SW
1
10 SW
VIN 2
11 VIN
VIN
2
9
VIN
PGND 3
10 NC
SGND
3
8
PGND
SGND 4
9 PGOOD
BIAS
4
7
PGOOD
6
EN
BIAS 5
8 EN
FB 6
EP
FB
5
EP
7 NC
12-Pin 3mm x 3mm MLF (ML)
10-Pin ePAD MSOP (MME)
Pin Description
Pin Number
MLF-12
Pin Number
MSOP-10
1, 12
1, 10
SW
Switch (Output): Internal power P-Channel MOSFET output switch.
2, 11
2, 9
VIN
Supply Voltage (Input): Supply voltage for the source of the internal P-channel
MOSFET and driver. Requires bypass capacitor to GND.
Pin Name
Pin Function
3
8
PGND
Power Ground. Provides the ground return path for the high-side drive current.
4
3
SGND
Signal (Analog) Ground. Provides return path for control circuitry and internal
reference.
5
4
BIAS
6
5
FB
Feedback. Input to the error amplifier, connect to the external resistor divider network
to set the output voltage.
7, 10
—
NC
No Connect. Not internally connected to die. This pin can be tied to any other pin if
desired.
8
6
EN
Enable (Input). Logic level low, will shutdown the device, reducing the current draw to
less than 5µA.
9
7
PGOOD
EP
EP
GND
June 2008
Internal circuit bias supply. Must be bypassed with a 0.1µF ceramic capacitor to
SGND.
Power Good. Open drain output that is pulled to ground when the output voltage is
within ±7.5% of the set regulation voltage.
Connect to ground.
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Micrel, Inc.
MIC4723
Absolute Maximum Ratings(1)
Operating Ratings(2)
Supply Voltage (VIN) .......................................................+6V
Output Switch Voltage (VSW) ..........................................+6V
Output Switch Current (ISW)............................................11A
Logic Input Voltage (VEN) .................................. –0.3V to VIN
Storage Temperature (Ts) .........................–60°C to +150°C
Supply Voltage (VIN)..................................... +2.7V to +5.5V
Logic Input Voltage (VEN) ....................................... 0V to VIN
Junction Temperature (TJ) ........................ –40°C to +125°C
Junction Thermal Resistance
3mm x 3mm MLF-12 (θJA) .................................60°C/W
3mm x 3mm MLF-12 (θJc) .................................28°C/W
ePAD MSOP-10 (θJA) ........................................76°C/W
ePAD MSOP-10 (θJc) ........................................28°C/W
Electrical Characteristics(4)
VIN = VEN = 3.6V; L = 1µH; COUT = 4.7µF; TA = 25°C, unless noted. Bold values indicate –40°C< TJ < +125°C.
Parameter
Condition
MIC4723YML
MIC4723YMME
Supply Voltage Range
Under-Voltage Lockout
Threshold
Min
2.7
3.0
2.45
(turn-on)
Typ
UVLO Hysteresis
2.55
Max
Units
5.5
5.5
V
V
2.65
V
100
Quiescent Current
VFB = 0.9 * VNOM (not switching)
Shutdown Current
VEN = 0V
[Adjustable] Feedback
Voltage
± 2% (over temperature) ILOAD = 100mA
570
900
µA
2
10
µA
1.02
V
0.98
FB pin input current
mV
1
3.5
nA
Current Limit in PWM Mode
VFB = 0.9 * VNOM
5
A
Output Voltage Line
Regulation
VOUT > 2V; VIN = VOUT+500mV to 5.5V; ILOAD= 100mA
VOUT < 2V; VIN = 2.7V to 5.5V; ILOAD= 100mA
0.07
%
%
Output Voltage Load
Regulation
20mA < ILOAD < 3A
0.2
%
Maximum Duty Cycle
VFB ≤ 0.4V
PWM Switch ONResistance
ISW = 50mA; VFB = GND (High Side Switch)
100
%
95
200
300
mΩ
mΩ
MHz
Oscillator Frequency
1.8
2
2.2
Enable Threshold
0.5
0.85
1.3
V
Enable Hysteresis
50
Enable Input Current
0.1
2.3
µA
Power Good Range
±7
±10
%
150
250
Ω
Power Good Resistance
IPGOOD = 500µA
mV
Over-Temperature
Shutdown
160
°C
Over-Temperature
Hysteresis
25
°C
Notes:
1. Exceeding the absolute maximum rating may damage the device.
2. The device is not guaranteed to function outside its operating rating.
3. Specification for packaged product only.
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MIC4723
Typical Characteristics
MIC4723
3.3V OUT Efficiency
96
4.5VIN
94
94
5VIN
92
92
86
82
84
80
78
82
76
0
80
0
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
3
MIC4723
1.8V OUT Efficiency
90
88 4.5VIN
5VIN
86
84
82
80
5.5VIN
78
76
74
72
70
68
66
64
62
60
0.5
1
1.5
2
2.5
0
OUTPUT CURRENT (A)
92
90
3VIN
88
3.3VIN
86
84
82
3.6VIN
80
78
76
74
72
70
68
66
64
0
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
3
3
MIC4723
1V OUT Efficiency
90
88
86
84
82
80
78
76
74
72
70
68
66
64
62
60
0
80
78
5VIN
72
68
76
74
5.5VIN
72
70
66
64
62
68
66
60
0
64
0
June 2008
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
90
88
5.5VIN
3
MIC4723
2.5VOUT Efficiency
3VIN
3.3VIN
3.6VIN
86
84
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
96
94
92 3VIN
3.3VIN
90
88
86
84
3.6VIN
82
80
78
76
74
72
70
68
66
0
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
84
82
4.5VIN
74
70
94
92
82
80
0
3
MIC4723
1.8V OUT Efficiency
MIC4723
1.5V OUT Efficiency
76
5VIN
88
86
84
78
4.5VIN
90
5.5VIN
100
98
96
86
84
82
80
78
76
74
72
70
68
66
64
0
3
MIC4723
1.2V OUT Efficiency
5VIN
5.5VIN
3
MIC4723
1V OUT Efficiency
3VIN
3
MIC4723
1.5VOUT Efficiency
4.5VIN
5VIN
5.5VIN
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
90
88
86 3VIN
84
3.3VIN
82
80
78
76
3.6VIN
74
72
70
68
66
64
62
60
0.5
1
1.5
2
2.5
0
OUTPUT CURRENT (A)
4.5VIN
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
3
MIC4723
1.2VOUT Efficiency
3
Load Regulation
1.010
OUTPUT VOLTAGE (V)
90
88
MIC4723
2.5V OUT Efficiency
3.3VIN
3.6VIN
1.005
1.000
0.995
3.3V
VIN = 3.3V
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
4
3
0.990
0
0.5
1
1.5
2
2.5
OUTPUT CURRENT (A)
3
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Micrel, Inc.
MIC4723
Typical Characteristics (continue)
Line Regulation
1.0010
1.0008
1.010
1.008
Feedback Voltage
vs. Temperature
1.0006
1.006
2.5
2.4
2.3
1.0004
1.0002
1.004
1.002
2.2
2.1
1.0000
0.9998
1.000
0.998
2.0
1.9
0.9996
0.996
0.9994
0.9992
0.994
0.992 V = 3.3V
IN
0.990
20 40 60 80
TEMPERATURE (°C)
1.8
1.7
0.9990
2.7
3.2 3.7 4.2 4.7 5.2
SUPPLY VOLTAGE (V)
Feedback Voltage
vs. Supply Voltage
1.2
800
1.6 V = 3.3V
IN
1.5
20 40 60 80
TEMPERATURE (°C)
Quiescent Current
vs. Supply Voltage
115
110
105
600
0.8
500
100
95
400
0.6
90
85
80
300
0.4
200
0.2
VEN = VIN
0
0
1
2
3
4
5
SUPPLY VOLTAGE (V)
RDSON
vs. Temperature
160
140
100
0
0
1.2
R DSON
vs. Supply Voltage
120
700
1.0
Frequency
vs. Temperature
VEN = VIN
1
2
3
4
5
SUPPLY VOLTAGE (V)
Enable Threshold
vs. Supply Voltage
6
75
70
2.7
1.2
1.0
1.0
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
3.2 3.7 4.2 4.7 5.2
SUPPLY VOLTAGE (V)
Enable Threshold
vs. Temperature
120
100
80
60
40
20
VIN = 3.3V
VIN = 3.3V
0
June 2008
20 40 60 80
TEMPERATURE (°C)
0
2.7
3.2
3.7
4.2
4.7
SUPPLY VOLTAGE (V)
5
0
20 40 60 80
TEMPERATURE (°C)
M9999-060308-E
Micrel, Inc.
MIC4723
Functional Characteristics
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MIC4723
Functional Diagram
VIN
VIN
P-Channel
Current Limit
BIAS
HSD
SW
SW
PWM
Control
EN
Enable and
Control Logic
Bias,
UVLO,
Thermal
Shutdown
Soft
Start
FB
EA
1.0V
PGOOD
1.0V
PGND
SGND
MIC4723 Block Diagram
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MIC4723
Pin Description
SW
The switch (SW) pin connects directly to the inductor
and provides the switching current necessary to operate
in PWM mode. Due to the high speed switching on this
pin, the switch node should be routed away from
sensitive nodes. This pin also connects to the cathode of
the free-wheeling diode.
VIN
Two pins for VIN provide power to the source of the
internal P-channel MOSFET along with the current
limiting sensing. The VIN operating voltage range is from
2.7V to 5.5V for the MIC4723YML or 3.0V to 5.5V for the
MIC4723YMME. Due to the high switching speeds, a
10µF capacitor is recommended close to VIN and the
power ground (PGND) for each pin for bypassing.
Please refer to layout recommendations.
PGOOD
Power good is an open drain pull down that indicates
when the output voltage has reached regulation. When
power good is low, then the output voltage is within
±10% of the set regulation voltage. For output voltages
greater or less than 10%, the PGOOD pin is high. This
should be connected to the input supply through a pull
up resistor. A delay can be added by placing a capacitor
from PGOOD to ground.
BIAS
The bias (BIAS) provides power to the internal reference
and control sections of the MIC4723. A 10Ω resistor
from VIN to BIAS and a 0.1µF from BIAS to SGND is
required for clean operation.
EN
The enable pin provides a logic level control of the
output. In the off state, supply current of the device is
greatly reduced (typically <1µA). Do not drive the enable
pin above the supply voltage.
PGND
Power ground (PGND) is the ground path for the
MOSFET drive current. The current loop for the power
ground should be as small as possible and separate
from the Signal ground (SGND) loop. Refer to the layout
considerations for more details.
FB
The feedback pin (FB) provides the control path to
control the output. For adjustable versions, a resistor
divider connecting the feedback to the output is used to
adjust the desired output voltage. The output voltage is
calculated as follows:
SGND
Signal ground (SGND) is the ground path for the biasing
and control circuitry. The current loop for the signal
ground should be separate from the power ground
(PGND) loop. Refer to the layout considerations for more
details.
⎛ R1 ⎞
VOUT = VREF × ⎜
+ 1⎟
⎝ R2
⎠
where VREF is equal to 1.0V.
A feedforward capacitor is recommended for most
designs using the adjustable output voltage option. To
reduce current draw, a 10K feedback resistor is
recommended from the output to the FB pin (R1). Also, a
feedforward capacitor should be connected between the
output and feedback (across R1). The large resistor
value and the parasitic capacitance of the FB pin can
cause a high frequency pole that can reduce the overall
system phase margin. By placing a feedforward
capacitor, these effects can be significantly reduced.
Feedforward capacitance (CFF) can be calculated as
follows:
C FF =
June 2008
1
2π × R1 × 200kHz
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MIC4723
switch is turned on, current flows from the input supply
through the inductor and to the output. The inductor
current is:
Application Information
The MIC4723 is a 3A PWM non-synchronous buck
regulator. By switching an input voltage supply, and
filtering the switched voltage through an Inductor and
capacitor, a regulated DC voltage is obtained. Figure 1
shows a simplified example of a non-synchronous buck
converter.
Figure 1. Example of non-synchronous buck converter
For a non-synchronous buck converter, there are two
modes of operation; continuous and discontinuous.
Continuous or discontinuous refer to the inductor
current. If current is continuously flowing through the
inductor throughout the switching cycle, it is in
continuous operation. If the inductor current drops to
zero during the off time, it is in discontinuous operation.
Critically continuous is the point where any decrease in
output current will cause it to enter discontinuous
operation. The critically continuous load current can be
calculated as follows;
Figure 3. On-Time
charged at the rate;
(VIN − VOUT )
L
To determine the total on-time, or time at which the
inductor charges, the duty cycle needs to be calculated.
The duty cycle can be calculated as;
D=
2⎤
⎡
V
⎢ VOUT − OUT ⎥
VIN ⎥
⎢⎣
⎦
IOUT =
2.0MHz × 2 × L
VOUT
VIN
and the On time is;
TON =
Continuous or discontinuous operation determines how
we calculate peak inductor current.
D
2.0MHz
Therefore, peak to peak ripple current is;
Continuous Operation
Figure 2 illustrates the switch voltage and inductor
current during continuous operation.
Ipk −pk =
(VIN− VOUT ) × VOUT
VIN
2.0MHz × L
Since the average peak to peak current is equal to the
load current. The actual peak (or highest current the
inductor will see in a steady-state condition) is equal to
the output current plus ½ the peak-to-peak current.
Ipk = IOUT +
(VIN − VOUT ) × VOUT
VIN
2 × 2.0MHz × L
Figure 4 demonstrates the off-time. During the off-time,
the high-side internal P-channel MOSFET turns off.
Since the current in the inductor has to discharge, the
current flows through the free-wheeling Schottky diode
to the output. In this case, the inductor discharge rate is
(where VD is the diode forward voltage);
Figure 2. Continuous Operation
The output voltage is regulated by pulse width
modulating (PWM) the switch voltage to the average
required output voltage. The switching can be broken up
into two cycles; On and Off.
During the on-time, Figure 3 illustrates the high side
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MIC4723
+ VD )
L
The total off time can be calculated as;
−
(VOUT
TOFF =
When the inductor current (IL) has completely
discharged, the voltage on the switch node rings at the
frequency determined by the parasitic capacitance and
the inductor value. In Figure 5, it is drawn as a DC
voltage, but to see actual operation (with ringing) refer to
the functional characteristics.
Discontinuous mode of operation has the advantage
over full PWM in that at light loads, the MIC4723 will skip
pulses as nessasary, reducing gate drive losses,
drastically improving light load efficiency.
1− D
2.0MHz
Efficiency Considerations
Calculating the efficiency is as simple as measuring
power out and dividing it by the power in;
P
Efficiency = OUT × 100
PIN
Where input power (PIN) is;
PIN = VIN × IIN
and output power (POUT) is calculated as;
POUT = VOUT × IOUT
The Efficiency of the MIC4723 is determined by several
factors.
Figure 4. Off-Time
Discontinuous Operation
Discontinuous operation is when the inductor current
discharges to zero during the off cycle. Figure 5
demonstrates the switch voltage and inductor currents
during discontinuous operation.
•
Rdson (Internal P-channel Resistance)
•
Diode conduction losses
•
Inductor Conduction losses
• Switching losses
Rdson losses are caused by the current flowing through
the high side P-channel MOSFET. The amount of power
loss can be approximated by;
PSW = R DSON × IOUT 2 × D
Where D is the duty cycle.
Since the MIC4723 uses an internal P-channel
MOSFET, Rdson losses are inversely proportional to
supply voltage. Higher supply voltage yields a higher
gate to source voltage, reducing the Rdson, reducing the
MOSFET conduction losses. A graph showing typical
Rdson vs input supply voltage can be found in the typical
characteristics section of this datasheet.
Diode conduction losses occur due to the forward
voltage drop (VF) and the output current. Diode power
losses can be approximated as follows;
PD = VF × IOUT × (1 − D)
Figure 5. Discontinuous Operation
June 2008
For this reason, the Schottky diode is the rectifier of
choice. Using the lowest forward voltage drop will help
reduce diode conduction losses, and improve efficiency.
Duty cycle, or the ratio of output voltage to input voltage,
determines whether the dominant factor in conduction
losses will be the internal MOSFET or the Schottky
diode. Higher duty cycles place the power losses on the
high side switch, and lower duty cycles place the power
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Micrel, Inc.
MIC4723
losses on the Schottky diode.
Inductor conduction losses (PL) can be calculated by
multiplying the DC resistance (DCR) times the square of
the output current;
PL = DCR × IOUT 2
Also, be aware that there are additional core losses
associated with switching current in an inductor. Since
most inductor manufacturers do not give data on the
type of material used, approximating core losses
becomes very difficult, so verify inductor temperature
rise.
Switching losses occur twice each cycle, when the
switch turns on and when the switch turns off. This is
caused by a non-ideal world where switching transitions
are not instantaneous, and neither are currents. Figure 6
demonstrates how switching losses due to the
transitions dissipate power in the switch.
June 2008
Figure 6. Switching Transition Losses
Normally, when the switch is on, the voltage across the
switch is low (virtually zero) and the current through the
switch is high. This equates to low power dissipation.
When the switch is off, voltage across the switch is high
and the current is zero, again with power dissipation
being low. During the transitions, the voltage across the
switch (VS-D) and the current through the switch (IS-D) are
at middle, causing the transition to be the highest
instantaneous power point. During continuous mode,
these losses are the highest. Also, with higher load
currents, these losses are higher. For discontinuous
operation, the transition losses only occur during the “off”
transition since the “on” transitions there is no current
flow through the inductor.
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MIC4723
Component Selection
Input Capacitor
A 10µF ceramic is recommended on each VIN pin for
bypassing. X5R or X7R dielectrics are recommended for
the input capacitor. Y5V dielectrics lose most of their
capacitance over temperature and are therefore, not
recommended. Also, tantalum and electrolytic capacitors
alone are not recommended due their reduced RMS
current handling, reliability, and ESR increases.
An additional 0.1µF is recommended close to the VIN
and PGND pins for high frequency filtering. Smaller case
size capacitors are recommended due to their lower
ESR and ESL. Please refer to layout recommendations
for proper layout of the input capacitor.
Diode Selection
Since the MIC4723 is non-synchronous, a free-wheeling
diode is required for proper operation. A Schottky diode
is recommended due to the low forward voltage drop
and their fast reverse recovery time. The diode should
be rated to be able to handle the average output current.
Also, the reverse voltage rating of the diode should
exceed the maximum input voltage. The lower the
forward voltage drop of the diode the better the
efficiency. Please refer to the layout recommendations to
minimize switching noise.
Feedback Resistors
The feedback resistor set the output voltage by dividing
down the output and sending it to the feedback pin. The
feedback voltage is 1.0V. Calculating the set output
voltage is as follows;
Output Capacitor
The MIC4723 is designed for a 4.7µF output capacitor.
X5R or X7R dielectrics are recommended for the output
capacitor. Y5V dielectrics lose most of their capacitance
over temperature and are therefore not recommended.
In addition to a 4.7µF, a small 0.1µF is recommended
close to the load for high frequency filtering. Smaller
case size capacitors are recommended due to there
lower equivalent series ESR and ESL.
The MIC4723 utilizes type III voltage mode internal
compensation and utilizes an internal zero to
compensate for the double pole roll off of the LC filter.
For this reason, larger output capacitors can create
instabilities. In cases where a 4.7µF output capacitor is
not sufficient, other values of capacitance can be used
but the original LC filter pole frequency determined by
CO = 4.7µF + L = 1µH (which is approximately 73.4KHz)
must remain fixed. Increasing COUT forces L to
decrease and vice versa.
⎛ R1 ⎞
VOUT = VFB ⎜
+ 1⎟
⎝ R2
⎠
Where R1 is the resistor from VOUT to FB and R2 is the
resistor from FB to GND. The recommended feedback
resistor values for common output voltages are available
in the bill of materials on page 19. Although the range of
resistance for the FB resistors is very wide, R1 is
recommended to be 10K. This minimizes the effect the
parasitic capacitance of the FB node.
Feedforward Capacitor (CFF)
A capacitor across the resistor from the output to the
feedback pin (R1) is recommended for most designs.
This capacitor can give a boost to phase margin and
increase the bandwidth for transient response. Also,
large values of feedforward capacitance can slow down
the turn-on characteristics, reducing inrush current. For
maximum phase boost, CFF can be calculated as follows;
Inductor Selection
The MIC4723 is designed for use with a 1µH inductor.
Proper selection should ensure the inductor can handle
the maximum average and peak currents required by the
load. Maximum current ratings of the inductor are
generally given in two methods; permissible DC current
and saturation current. Permissible DC current can be
rated either for a 40°C temperature rise or a 10% to 20%
loss in inductance. Ensure the inductor selected can
handle the maximum operating current. When saturation
current is specified, make sure that there is enough
margin that the peak current will not saturate the
inductor.
June 2008
C FF =
1
2π × 200kHz × R1
Bias filter
A small 10Ω resistor is recommended from the input
supply to the bias pin along with a small 0.1µF ceramic
capacitor from bias to ground. This will bypass the high
frequency noise generated by the violent switching of
high currents from reaching the internal reference and
control circuitry. Tantalum and electrolytic capacitors are
not recommended for the bias, these types of capacitors
lose their ability to filter at high frequencies.
12
M9999-060308-E
Micrel, Inc.
MIC4723
Loop Stability and Bode Analysis
Network
Analyzer
“R” Input
Bode analysis is an excellent way to measure small
signal stability and loop response in power supply
designs. Bode analysis monitors gain and phase of a
control loop. This is done by breaking the feedback loop
and injecting a signal into the feedback node and
comparing the injected signal to the output signal of the
control loop. This will require a network analyzer to
sweep the frequency and compare the injected signal to
the output signal. The most common method of injection
is the use of transformer. Figure 7 demonstrates how a
transformer is used to inject a signal into the feedback
network.
MIC922BC5
R1
1k
Feedback
R3
1k
R4
1k
50
Output
Network Analyzer
Source
Figure 8. Op Amp Injection
R1 and R2 reduce the DC voltage from the output to the
non-inverting input by half. The network analyzer is
generally a 50Ω source. R1 and R2 also divide the AC
signal sourced by the network analyzer by half. These
two signals are “summed” together at half of their
original input. The output is then gained up by 2 by R3
and R4 (the 50Ω is to balance the network analyzer’s
source impedance) and sent to the feedback signal. This
essentially breaks the loop and injects the AC signal on
top of the DC output voltage and sends it to the
feedback. By monitoring the feedback “R” and output
“A”, gain and phase are measured. This method has no
minimum frequency. Ensure that the bandwidth of the
op-amp being used is much greater than the expected
bandwidth of the power supplies control loop. An op-amp
with >100MHz bandwidth is more than sufficient for most
power supplies (which includes both linear and
switching) and are more common and significantly
cheaper than the injection transformers previously
mentioned. The one disadvantage to using the op-amp
injection method; is the supply voltages need to below
the maximum operating voltage of the op-amp. Also, the
maximum output voltage for driving 50Ω inputs using the
MIC922 is 3V. For measuring higher output voltages,
1MΩ input impedance is required for the A and R
channels. Remember to always measure the output
voltage with an oscilloscope to ensure the measurement
is working properly. You should see a single sweeping
sinusoidal waveform without distortion on the output. If
there is distortion of the sinusoid, reduce the amplitude
of the source signal. You could be overdriving the
feedback causing a large signal response.
Figure 7. Transformer Injection
A 50Ω resistor allows impedance matching from the
network analyzer source. This method allows the DC
loop to maintain regulation and allow the network
analyzer to insert an AC signal on top of the DC voltage.
The network analyzer will then sweep the source while
monitoring A and R for an A/R measurement. While this
is the most common method for measuring the gain and
phase of a power supply, it does have significant
limitations. First, to measure low frequency gain and
phase, the transformer needs to be high in inductance.
This makes frequencies <100Hz require an extremely
large and expensive transformer. Conversely, it must be
able to inject high frequencies. Transformers with these
wide frequency ranges generally need to be custom
made and are extremely expensive (usually in the tune
of several hundred dollars!). By using an op-amp, cost
and frequency limitations used by an injection
transformer are completely eliminated. Figure 8
demonstrates using an op-amp in a summing amplifier
configuration for signal injection.
June 2008
+8V
Network
Analyzer
“A” Input
13
M9999-060308-E
Micrel, Inc.
MIC4723
regulator only has the ability to source current. This
means that the regulator has to rely on the load to be
able to sink current. This causes a non-linear response
at light loads. The following plot shows the effects of the
pole created by the nonlinearity of the output drive
during light load (discontinuous) conditions.
The following Bode analysis show the small signal loop
stability of the MIC4723, it utilizes type III compensation.
This is a dominant low frequency pole, followed by 2
zeros and finally the double pole of the inductor
capacitor filter, creating a final 20dB/decade roll off.
Bode analysis gives us a few important data points;
speed of response (Gain Bandwidth or GBW) and loop
stability. Loop speed or GBW determines the response
time to a load transient. Faster response times yield
smaller voltage deviations to load steps.
Instability in a control loop occurs when there is gain and
positive feedback. Phase margin is the measure of how
stable the given system is. It is measured by determining
how far the phase is from crossing zero when the gain is
equal to 1 (0dB).
OUT
GAIN (dB)
50
140
30
105
20
70
10 L=1µH
0 COUT = 4.7µF GAIN
-10 R1 = 10k
R2 = 12.4k
-20 C = 82pF
FF
-30
100
1k
10k
100k
FREQUENCY (Hz)
35
0
•
•
-70
-105
1M
GAIN (dB)
50
GAIN (dB)
OUT
0
35
-35
-70
-105
1M
Gain and Phase
vs. Frequency
=3A
PHASE
210
175
40
140
30
105
20
70
10 L=1µH
GAIN
0 COUT = 4.7µF
-10 R1 = 10k
R2 = 12.4k
-20 C = 82pF
FF
-30
100
1k
10k
100k
FREQUENCY (Hz)
35
0
0
L=1µH
-1 C
= 4.7µF
OUT
-2 R1 = 10k
-3 R2 = 12.4k
-4 CFF = 82pF
-5
-6
-7
-8
-9
-10
100
PHASE (°)
OUT
10 L=1µH
0 COUT = 4.7µF
Feed Forward Capacitor
The feedback resistors are a gain reduction block in the
overall system response of the regulator. By placing a
capacitor from the output to the feedback pin, high
frequency signal can bypass the resistor divider, causing
a gain increase up to unity gain.
-35
Gain will also increase with input voltage. The following
graph shows the increase in GBW for an increase in
supply voltage.
60 IN
70
Phase Margin=90.5 Degrees
GBW= 64.4KHz
Phase Margin=47 Degrees
GBW=156KHz
Bode Plot
=1.8V, I
V =5V, V
105
20
3.3Vin, 1.8Vout Iout=50mA;
Typically for 3.3Vin and 1.8Vout at 3A;
•
•
140
30
PHASE (°)
GAIN (dB)
175
PHASE
PHASE
-10 R1 = 10k
GAIN
R2 = 12.4k
-20 C = 82pF
FF
-30
100
1k
10k
100k
FREQUENCY (Hz)
210
40
175
40
=3A
OUT
210
50
25
GAIN
20
15
PHASE
1k
10k
100k
FREQUENCY (Hz)
10
5
PHASE BOOST (°)
60 IN
60
PHASE (°)
Bode Plot
V =3.3V, V
=1.8V, I
Bode Plot
VIN=3.3V,V OUT=1.8V,IOUT=50mA
0
1M
The graph above shows the effects on the gain and
phase of the system caused by feedback resistors and a
feedforward capacitor. The maximum amount of phase
boost achievable with a feedforward capacitor is
graphed below.
-35
-70
-105
1M
5Vin, 1.8Vout at 3A load;
•
•
Phase Margin=43.1 Degrees
GBW= 218KHz
Being that the MIC4723 is non-synchronous; the
June 2008
14
M9999-060308-E
Micrel, Inc.
MIC4723
50
Bode Plot
V =3.3V, V
=1.8V, I
Voltage
60
OUT
=3A
OUT
210
45
40
50
35
30
30
105
20
70
10 L=1µH
0 COUT = 4.7µF
0
GAIN (dB)
PAHSE BOOST (°)
15
10
5
0
1
PHASE
40
25
20
V
REF
GAIN
-10 R1 = 10k
R2 = 12.4k
-20 C = 0pF
FF
-30
100
1k
10k
100k
FREQUENCY (Hz)
= 1V
2
3
4
OUTPUT VOLTAGE (V)
5
175
140
35
-35
-70
-105
1M
As one can see, the typical phase margin, using the
same resistor values as before without a feedforward
capacitor results in 33.6 degrees of phase margin. Our
prior measurement with a feedforward capacitor yielded
a phase margin of 47 degrees. The feedforward
capacitor has given us a phase boost of 13.4 degrees
(47 degrees- 33.6 Degrees = 13.4 Degrees).
By looking at the graph, phase margin can be affected to
a greater degree with higher output voltages.
The next bode plot shows the phase margin of a 1.8V
output at 3A without a feedforward capacitor.
June 2008
IN
PHASE (°)
Max. Amount of Phase Boost
Obtainable using CFF vs. Output
15
M9999-060308-E
Micrel, Inc.
MIC4723
Output Impedance and Transient
Response
∆I =
Output impedance, simply stated, is the amount of
output voltage deviation vs. the load current deviation.
The lower the output impedance, the better.
Z OUT =
× 1mW × 50Ω × 2
0.707 × R LOAD
The following graph shows output impedance vs
frequency at 3A load current sweeping the AC current
from 10Hz to 10MHz, at 1A peak to peak amplitude.
∆VOUT
∆IOUT
Output Impedance
vs. Frequency
Output impedance for a buck regulator is the parallel
impedance of the output capacitor and the MOSFET and
inductor divided by the gain;
1
OUTPUT IMPEDANCE (Ohms)
Z TOTAL
dBm
10 10
R
+ DCR + X L
X COUT
= DSON
GAIN
To measure output impedance vs. frequency, the load
current must be load current must be swept across the
frequencies measured, while the output voltage is
monitored. Figure 9 shows a test set-up to measure
output impedance from 10Hz to 1MHz using the
MIC5190 high speed controller.
VOUT=1.8V
L=1µH
=4.7µF + 0.1µ
C
OUT
0.1
3.3VIN
0.01
5VIN
0.001
10
100 1k 10k 100k 1M
FREQUENCY (Hz)
From this graph, one can see the effects of bandwidth
and output capacitance. For frequencies <200KHz, the
output impedance is dominated by the gain and
inductance. For frequencies >200KHz, the output
impedance is dominated by the capacitance. A good
approximation for transient response can be calculated
from determining the frequency of the load step in amps
per second;
f =
Then, determine the output impedance by looking at the
output impedance vs frequency graph. Then calculating
the voltage deviation times the load step;
Figure 9. Output Impedance Measurement
∆VOUT = ∆IOUT × Z OUT
By setting up a network analyzer to sweep the feedback
current, while monitoring the output of the voltage
regulator and the voltage across the load resistance,
output impedance is easily obtainable. To keep the
current from being too high, a DC offset needs to be
applied to the network analyzer’s source signal. This can
be done with an external supply and 50Ω resistor. Make
sure that the currents are verified with an oscilloscope
first, to ensure the integrity of the signal measurement. It
is always a good idea to monitor the A and R
measurements with a scope while you are sweeping it.
To convert the network analyzer data from dBm to
something more useful (such as peak to peak voltage
and current in our case);
∆V =
dBm
10 10
A/sec
2π
The output impedance graph shows the relationship
between supply voltage and output impedance. This is
caused by the lower Rdson of the high side MOSFET
and the increase in gain with increased supply voltages.
This explains why higher supply voltages have better
transient response.
↓Z TOTAL =
↓ R DSON + DCR + X L
X COUT
↑ GAIN
× 1mW × 50Ω × 2
0.707
and peak to peak current;
June 2008
16
M9999-060308-E
Micrel, Inc.
MIC4723
Ripple measurements
To properly measure ripple on either input or output of a
switching regulator, a proper ring in tip measurement is
required. Standard oscilloscope probes come with a
grounding clip, or a long wire with an alligator clip.
Unfortunately, for high frequency measurements, this
ground clip can pick-up high frequency noise and
erroneously inject it into the measured output ripple.
The standard evaluation board accommodates a home
made version by providing probe points for both the
input and output supplies and their respective grounds.
This requires the removing of the oscilloscope probe
sheath and ground clip from a standard oscilloscope
probe and wrapping a non-shielded bus wire around the
oscilloscope probe. If there does not happen to be any
non-shielded bus wire immediately available, the leads
from axial resistors will work. By maintaining the
shortest possible ground lengths on the oscilloscope
probe, true ripple measurements can be obtained.
June 2008
17
M9999-060308-E
Micrel, Inc.
MIC4723
MIC4723 Schematic and BOM for 3A Output
Item
Part Number
Manufacturer
C1a,C1b
C2012JB0J106K
TDK
GRM219R60J106KE19
Murata
08056D106MAT
AVX
C2
0402ZD104MAT
AVX
C3
C2012JB0J475K
TDK
GRM188R60J475KE19
Murata
06036D475MAT
AVX
VJ0403A820KXAA
Vishay VT
D1
SSA33L
Vishay Semi
3A Schottky 30V SMA
1
L1
RLF7030-1R0N6R4
TDK
1µH Inductor 8.8mΩ 7.1mm(L) x 6.8mm (W)x 3.2mm(H)
1
744 778 9001
Wurth Elektronik
1µH Inductor 12mΩ 7.3mm(L)x7.3mm(W)x3.2mm(H)
1
IHLP2525AH-01 1
Vishay Dale
1µH Inductor 17.5mΩ 6.47mm(L)x6.86mm(W)x1.8mm(H)
1
R1,R4
CRCW04021002F
Vishay Dale
10KΩ1% 0402 resistor
1
R2
CRCW04026651F
C4
CRCW04021242F
CRCW04022002F
Description
Qty
10µF Ceramic Capacitor X5R 0805 6.3V
2
0.1µF Ceramic Capacitor X5R 0402 10V
1
4.7µF Ceramic Capacitor X5R 0603 6.3V
1
82pF Ceramic Capacitor 0402
1
6.65kΩ 1% 0402 For 2.5VOUT
12.4kΩ 1% 0402 For 1.8 VOUT
Vishay Dale
20kΩ 1% 0402 For 1.5 VOUT
CRCW04024022F
1
49.9kΩ 1% 0402 For 1.2 VOUT
Open
For 1.0 VOUT
R3
CRCW040210R0F
Vishay Dale
10Ω1% 0402 resistor
1
U1
MIC4723YML
Micrel, Inc.
3A 2MHz Integrated Switch Buck Regulator
1
Notes:
1.
TDK: www.tdk.com
2.
Murata: www.murata.com
3.
AVX: www.avx.com
4.
Vishay: www.vishay.com
5.
Wurth Elektronik: www.we-online.com
6.
Micrel, Inc: www.micrel.com
June 2008
18
M9999-060308-E
Micrel, Inc.
MIC4723
Package Information
12-Pin 3mm x 3mm MLF® (ML)
10-Pin ePAD MSOP (MME)
June 2008
19
M9999-060308-E
Micrel, Inc.
MIC4723
MICREL, INC. 2180 FORTUNE DRIVE SAN JOSE, CA 95131 USA
TEL +1 (408) 944-0800 FAX +1 (408) 474-1000 WEB http://www.micrel.com
The information furnished by Micrel in this data sheet is believed to be accurate and reliable. However, no responsibility is assumed by Micrel for its
use. Micrel reserves the right to change circuitry and specifications at any time without notification to the customer.
Micrel Products are not designed or authorized for use as components in life support appliances, devices or systems where malfunction of a product
can reasonably be expected to result in personal injury. Life support devices or systems are devices or systems that (a) are intended for surgical implant
into the body or (b) support or sustain life, and whose failure to perform can be reasonably expected to result in a significant injury to the user. A
Purchaser’s use or sale of Micrel Products for use in life support appliances, devices or systems is a Purchaser’s own risk and Purchaser agrees to fully
indemnify Micrel for any damages resulting from such use or sale.
© 2007 Micrel, Incorporated.
June 2008
20
M9999-060308-E
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