Datasheet MIC2168 Datasheet (Micrel)

Page 1
MIC2168 Micrel, Inc.
1.2µH
3.3V
VIN= 5V
VDD
COMP/EN
VIN
CS
FB
GND
LSD
BST
1kΩ
10kΩ
4kΩ
3.24kΩ
4.7µF
100µF
0.1µF
100nF
IRF7821
SD103BWS
IRF7821
100pF
HSD
VSW
MIC2168
150µF x 2
MIC2168
1MHz PWM Synchronous Buck Control IC
General Description
The MIC2168 is a high-efficiency, simple to use 1MHz PWM synchronous buck control IC housed in a small MSOP-10 package. The MIC2168 allows compact DC/DC solutions with a minimal external component count and cost.
The MIC2168 senses current across the high-side N-Chan­nel MOSFET, eliminating the need for an expensive and lossy current-sense resistor. Current limit accuracy is main­tained by a positive temperature coefficient that tracks the increasing R
DS(ON)
and space are saved by the internal in-rush-current limiting digital soft-start.
The MIC2168 is available in a 10-pin MSOP package, with a wide junction operating range of –40°C to +125°C.
All support documentation can be found on Micrel’s web site at www.micrel.com.
of the external MOSFET. Further cost
Features
• 3V to 14.5V input voltage range
• Adjustable output voltage down to 0.8V
• Up to 95% efficiency
• 1MHz PWM operation
• Adjustable current-limit senses high-side N-Channel MOSFET current
• No external current sense resistor
• Adaptive gate drive increases efficiency
• Ultra-fast response with hysteretic transient recovery mode
• Overvoltage protection protects the load in fault conditions
• Dual mode current limit speeds up recovery time
• Hiccup mode short-circuit protection
• Internal soft-start
• Dual function COMP and EN pin allows low-power shut­down
• Small size MSOP 10-lead package
Applications
• Point-of-load DC/DC conversion
• Set-top boxes
• Graphic cards
• LCD power supplies
• Telecom power supplies
• Networking power supplies
• Cable modems and routers
Typical Application
Micrel, Inc. • 2180 Fortune Drive • San Jose, CA 95131 • USA • tel + 1 (408) 944-0800 • fax + 1 (408) 474-1000 • http://www.micrel.com
April 2005 1 M9999-040805
MIC2168 Adjustable Output 1MHz Converter
Page 2
MIC2168 Micrel, Inc.
FB GND65
1VIN
VDD
CS
COMP/EN
10 BST
HSD
VSW
LSD
9
8
7
2
3
4
Ordering Information
Part Number Frequency Junction Temp. Range Package
Standard Pb-Free
MIC2168BMM MIC2168YMM 1MHz -40°C to +125°C 10-Lead MSOP
Pin Configuration
10-Pin MSOP (MM)
Pin Description
Pin Number Pin Name Pin Function
1 VIN Supply Voltage (Input): 3V to 14.5V.
2 VDD 5V Internal Linear Regulator (Output): V
drive supply voltage and an internal supply bus for the IC. When VIN is <5V, this regulator operates in dropout mode.
3 CS Current Sense / Enable (Input): Current-limit comparator noninverting input.
The current limit is sensed across the MOSFET during the ON time. The cur rent can be set by the resistor in series with the CS pin.
4 COMP/EN Compensation (Input): Dual function pin. Pin for external compensation.
If this pin is pulled below 0.2V, with the reference fully up the device shuts down (50µA typical current draw).
5 FB Feedback (Input): Input to error amplifier. Regulates error amplifier to 0.8V.
6 GND Ground (Return).
7 LSD Low-Side Drive (Output): High-current driver output for external synchro
nous MOSFET.
8 VSW Switch (Return): High-side MOSFET driver return.
9 HSD High-Side Drive (Output): High-current output-driver for the high-side
MOSFET. When V should be used. At V
10 BST Boost (Input): Provides the drive voltage for the high-side MOSFET driver.
The gate-drive voltage is higher than the source voltage by VIN minus a diode drop.
is between 3.0V to 5V, 2.5V threshold-rated MOSFETs
IN
> 5V, 5V threshold MOSFETs should be used.
IN
is the external MOSFET gate
DD
-
-
M9999-040805 2 April 2005
Page 3
MIC2168 Micrel, Inc.
Absolute Maximum Ratings
(1)
Supply Voltage (VIN) ................................................... 15.5V
Booststrapped Voltage (V Junction Temperature (T Storage Temperature (T
) .................................VIN +5V
BST
) ...................–40°C ≤ TJ ≤+125°C
J
) ........................ –65°C to +150°C
S
Operating Ratings
Supply Voltage (VIN) ..................................... +3V to +14.5V
Output Voltage Range ..........................
Package Thermal Resistance
θJA 10-lead MSOP ............................................. 180°C/W
(2)
0.8V to VIN × D
MAX
Electrical Characteristics
(3)
TJ = 25°C, VIN = 5V, unless otherwise specified. Bold values indicate –40°C < TJ < +125°C
Parameter Condition Min Typ Max Units
Feedback Voltage Reference (± 1%) 0.792 0.8 0.808 V
Feedback Voltage Reference (± 2% over temp)
Feedback Bias Current 30
0.784 0.8 0.816 V
100 nA
Output Voltage Line Regulation 0.03 % / V
Output Voltage Load Regulation 0.5 %
Output Voltage Total Regulation 3V ≤ V
≤ 14.5V; 1A ≤ I
IN
≤ 10A; (V
OUT
OUT
= 2.5V)
(4)
0.6 %
Oscillator Section
Oscillator Frequency 900 1000 1100 kHz
Maximum Duty Cycle 90 %
(4)
Minimum On-Time
30 60 ns
Input and VDD Supply
PWM Mode Supply Current V
= VIN –0.25V; VFB = 0.7V (output switching but excluding 1.6 3 mA
CS
external MOSFET gate current.)
Shutdown Quiescent Current V
V
Shutdown Threshold 0.1 0.25 0.4 V
COMP
V
Shutdown Blanking C
COMP
COMP/EN
COMP
= 0V 50 150 µA
= 100nF 4 ms
Period
Digital Supply Voltage (V
) VIN ≥ 6V 4.7 5 5.3 V
DD
Notes:
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 operating ratings. The maximum allowable power dissipation is a function of the maximum junction temperature, T the junction-to-ambient thermal resistance, θJA, and the ambient temperature, TA. The maximum allowable power dissipation will result in excessive die temperature, and the regulator will go into thermal shutdown.
2. Devices are ESD sensitive, handling precautions required.
3. Specification for packaged product only.
4. Guaranteed by design.
(max),
J
April 2005 3 M9999-040805
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MIC2168 Micrel, Inc.
Electrical Characteristics
Parameter Condition Min Typ Max Units
Error Amplifier
DC Gain 70 dB
Transconductance 1 ms
Soft-Start
Soft-Start Current After timeout of internal timer. See
Current Sense
CS Over Current Trip Point V
Temperature Coefficient
Output Fault Correction Thresholds
Upper Threshold, V
Lower Threshold, V
Gate Drivers
Rise/Fall Time Into 3000pF at V
Output Driver Impedance Source, V
Sink, V
Source, V
Sink, V
Driver Non-Overlap Time
Notes:
5. Specification for packaged product only.
6. Guaranteed by design.
(relative to VFB) +3 %
FB_OVT
(relative to VFB) –3 %
FB_UVT
(5)
“Soft-Start” section. 8.5 µA
= VIN –0.25V 160 200 240 µA
CS
+1800 ppm/°C
> 5V 30 ns
IN
= 5V 6
IN
= 5V 6
IN
= 3V 10
IN
= 3V 10
IN
Note 6 10 20 ns
M9999-040805 4 April 2005
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MIC2168 Micrel, Inc.
Typical Characteristics
VIN = 5V
April 2005 5 M9999-040805
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MIC2168 Micrel, Inc.
Current Limit
Reference
Current Limit
Comparator
Error
Amp
Low-Side
Driver
High-Side
Driver
PWM
Comparator
FB
COMP
GND
LSD
V
REF
+3%
V
REF
3%
HSD
V
DD
C
BST
CS
V
DD
5V
5V
5V
C2
C1
R1
5V
0.8V
V
IN
SW
Q2
Q1
L1
Driver
Logic
0.8V
BG Valid
Clamp & Startup Current
Enable Error Loop
Hys
Comparator
5V LDO
Bandgap
Reference
Soft-Start &
Digital Delay
Counter
MIC2168
Ramp Clock
BOOST
R2
R3
4W
RSW
RCS
C
OUT
V
OUT
C
IN
D1
Functional Diagram
MIC2168 Block Diagram
Functional Description
The MIC2168 is a voltage mode, synchronous step-down switching regulator controller designed for high output power without the use of an external sense resistor. It includes an internal soft-start function which reduces the power supply input surge current at start-up by controlling the output volt­age rise time, a PWM generator, a reference voltage, two MOSFET drivers, and short-circuit current limiting circuitry to form a complete 1MHz switching regulator.
Theory of Operation
The MIC2168 is a voltage mode step-down regulator. The figure above illustrates the block diagram for the voltage control loop. The output voltage variation due to load or line changes will be sensed by the inverting input of the transcon­ductance error amplifier via the feedback resistors R3, and R2 and compared to a reference voltage at the non-invert­ing input. This will cause a small change in the DC voltage level at the output of the error amplifier which is the input to the PWM comparator. The other input to the comparator is a 0 to 1V triangular waveform. The comparator generates a rectangular waveform whose width tON is equal to the time from the start of the clock cycle t0 until t1, the time the triangle crosses the output waveform of the error amplifier. To illustrate the control loop, let us assume the output volt­age drops due to sudden load turn-on, this would cause the inverting input of the error amplifier which is divided down
M9999-040805 6 April 2005
version of V causing the output voltage of the error amplifier to go high. This will cause the PWM comparator to increase tON time of the top side MOSFET, causing the output voltage to go up and bringing V
Soft-Start
1. Disables the part by grounding this pin
2. External compensation to stabilize the voltage control loop
3. Soft-start
For better understanding of the soft-start feature, let’s as­sume V by un-grounding the COMP/EN pin. The COMP pin has an internal 8.5µA current source that charges the external com-
IN
pensation capacitor. As soon as this voltage rises to 180mV (t = Cap_COMP × 0.18V/8.5µA), the MIC2168 allows the internal VDD linear regulator to power up and as soon as it crosses the undervoltage lockout of 2.6V, the chip’s internal oscillator starts switching. At this point in time, the COMP pin current source increases to 40µA and an internal 11-bit counter starts counting which takes approximately 2ms to complete. During counting, the COMP voltage is clamped at 0.65V. After this counting cycle the COMP current source
to be slightly less than the reference voltage
OUT
back in regulation.
OUT
= 12V, and the MIC2168 is allowed to power-up
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MIC2168 Micrel, Inc.
V
V
OUT
IN
t4
 
 
x
0.5
- x
Cap_COMP
8.5µA
L1 Inductor
V
IN
HSD
LSD
RCS
CS
200µA
0
C2 C
IN
C1 C
OUT
Q1 MOSFET N
Q2 MOSFET N
V
OUT
R
CS
=
200µA
R
DS(ON) Q1
× L
L
I
L
=
2(Inductor Ripple Current)
1
I
LOAD
=
(V
IN
V
OUT
=
- V
OUT
)
V
IN
F
SWITCHING
L
× ×
is reduced to 8.5µA and the COMP pin voltage rises from
0.65V to 0.95V, the bottom edge of the saw-tooth oscillator. This is the beginning of 0% duty cycle and it increases slowly causing the output voltage to rise slowly. The MIC2168 has two hysteretic comparators that are enabled when V within ±3% of steady state. When the output voltage reaches 97% of programmed output voltage, then the gm error amplifier is enabled along with the hysteretic comparator. This point onwards, the voltage control loop (gm error amplifier) is fully in control and will regulate the output voltage.
t1 = Cap_COMP × 0.18V/8.5µA
t2 = 12 bit counter, approx 2ms t3 = Cap_COMP × 0.3V/8.5µA
Soft-Start Time(Cap_COMP=100nF) = t1 + t2 + t3 + t4 = 2.1ms + 2ms + 3.5ms + 1.8ms = 10ms
Current Limit
The MIC2168 uses the R to measure output current. Since it uses the drain to source resistance of the power MOSFET, it is not very accurate. This scheme is adequate to protect the power supply and external components during a fault condition by cutting back the time the top MOSFET is on if the feedback voltage is greater than
0.67V. In case of a hard short when feedback voltage is less than 0.67V, the MIC2168 discharges the COMP capacitor to
0.65V, resets the digital counter and automatically shuts off the top gate drive, and the gm error amplifier and the –3% hysteretic comparators are completely disabled and the soft-start cycles restarts. This mode of operation is called the “hiccup mode” and its purpose is to protect the down stream load in case of a hard short. The circuit in Figure 1 illustrates the MIC2168 current limiting circuit.
Figure 1. The MIC2168 Current Limiting Circuit
April 2005 7 M9999-040805
of the top power MOSFET
DS(ON)
The current limiting resistor RCS is calculated by the follow­ing equation:
is
OUT
Equation (1)
where: Inductor Ripple Current =
F
SWITCHING
= 1MHz
200µA is the internal sink current to program the MIC2168 current limit.
The MOSFET R
varies 30% to 40% with temperature;
DS(ON)
) in the above equation to avoid false current
LOAD
limiting due to increased MOSFET junction temperature rise. It is also recommended to connect RCS resistor directly to the drain of the top MOSFET Q1, and the RSW resistor to the source of Q1 to accurately sense the MOSFETs R
DS(ON)
. A
0.1µF capacitor in parallel with RCS should be connected to filter some of the switching noise.
Internal VDD Supply
The MIC2168 controller internally generates VDD for self bias­ing and to provide power to the gate drives. This VDD supply is generated through a low-dropout regulator and generates 5V from VIN supply greater than 5V. For supply voltage less than 5V, the VDD linear regulator is approximately 200mV in dropout. Therefore, it is recommended to short the VDD supply to the input supply through a 10 resistor for input supplies between 2.9V to 5V.
MOSFET Gate Drive
The MIC2168 high-side drive circuit is designed to switch an N-Channel MOSFET. The block diagram in Figure 2 shows a bootstrap circuit, consisting of D2 and CBST, supplies energy to the high-side drive circuit. Capacitor CBST is charged while the low-side MOSFET is on and the voltage on the VSW pin is approximately 0V. When the high-side MOSFET driver is turned on, energy from CBST is used to turn the MOSFET on. As the MOSFET turns on, the voltage on the VSW pin increases to approximately VIN. Diode D2 is reversed biased and CBST floats high while continuing to keep the high-side MOSFET on. When the low-side switch is turned back on, CBST is recharged through D2. The drive voltage is derived from the internal 5V VDD bias supply. The nominal low-side gate drive voltage is 5V and the nominal high-side gate drive voltage is approximately 4.5V due the voltage drop across D2. An approximate 20ns delay between the high- and low-side driver transitions is used to prevent current from simultane­ously flowing unimpeded through both MOSFETs.
MOSFET Selection
The MIC2168 controller works from input voltages of 3V to
13.2V and has an internal 5V regulator to provide power to turn the external N-Channel power MOSFETs for high- and low-side switches. For applications where V
< 5V, the internal
IN
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MIC2168 Micrel, Inc.
I Q f
G[high-side](avg) G S
= ×
I C V f
G[low -side](avg) ISS GS S
= × ×
P V I I
GATEDRIVE IN G[high -side](avg) G[low -side](avg)
= +
( )
P P P
SW CONDUCTION AC
= +
P I R
CONDUCTION
SW(rms)
SW
2
= ×
P P P
AC AC(off) AC(on)
= +
D
=
V
V
O
IN
 
 
duty cycle
t
C V C V
I
T
ISS GS OSS IN
G
=
× + ×
P (V V ) I t f
AC IN D PK T S
= + × × ×
L
V (V m
ax V )
V m
ax f 0.2 I max
OUT IN OUT
IN S OUT
=
×
× ×
×
( )
( ) ( )
VDD regulator operates in dropout mode, and it is necessary that the power MOSFETs used are low threshold and are in full conduction mode for VGS of 2.5V. For applications when V
> 5V; logic-level MOSFETs, whose operation is specified
IN
at VGS = 4.5V must be used.
It is important to note the on-resistance of a MOSFET increases with increasing temperature. A 75°C rise in junction tempera­ture will increase the channel resistance of the MOSFET by 50% to 75% of the resistance specified at 25°C. This change in resistance must be accounted for when calculating MOSFET power dissipation and in calculating the value of current-sense (CS) resistor. Total gate charge is the charge required to turn the MOSFET on and off under specified operating conditions (VDS and VGS). The gate charge is supplied by the MIC2168 gate drive circuit. At 1MHz switching frequency and above, the gate charge can be a significant source of power dissipation in the MIC2168. At low output load, this power dissipation is noticeable as a reduction in efficiency. The average current required to drive the high-side MOSFET is:
where:
I
G[high-side](avg)
= average high-side MOSFET gate
current.
QG = total gate charge for the high-side MOSFET taken from manufacturer’s data sheet for VGS = 5V.
The low-side MOSFET is turned on and off at VDS = 0 because the freewheeling diode is conducting during this time. The switching loss for the low-side MOSFET is usu­ally negligible. Also, the gate-drive current for the low-side MOSFET is more accurately calculated using CISS at VDS = 0 instead of gate charge.
For the low-side MOSFET:
Since the current from the gate drive comes from the input voltage, the power dissipated in the MIC2168 due to gate drive is:
A convenient figure of merit for switching MOSFETs is the on resistance times the total gate charge R
DS(ON)
× QG. Lower
numbers translate into higher efficiency. Low gate-charge logic-level MOSFETs are a good choice for use with the MIC2168.
Parameters that are important to MOSFET switch selection are:
• Voltage rating
• On-resistance
• Total gate charge
The voltage ratings for the top and bottom MOSFET are essentially equal to the input voltage. A safety factor of 20% should be added to the VDS(max) of the MOSFETs to account for voltage spikes due to circuit parasitics.
The power dissipated in the switching transistor is the sum of the conduction losses during the on-time (P
CONDUCTION
AC
).
where:
RSW = on-resistance of the MOSFET switch
Making the assumption the turn-on and turn-off transition times are equal; the transition times can be approximated by:
where:
C
ISS
and C
are measured at VDS = 0
OSS
IG = gate-drive current (1A for the MIC2168)
The total high-side MOSFET switching loss is:
where:
tT = switching transition time (typically 20ns to 50ns)
VD = freewheeling diode drop, typically 0.5V
fS it the switching frequency, nominally 1MHz
The low-side MOSFET switching losses are negligible and can be ignored for these calculations.
Inductor Selection
where:
fS = switching frequency, 1MHz
0.2 = ratio of AC ripple current to DC output current
VIN(max) = maximum input voltage
The peak-to-peak inductor current (AC ripple current) is:
)
M9999-040805 8 April 2005
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MIC2168 Micrel, Inc.
I
V (V m
ax V )
V m
ax f L
PP
OUT IN OUT
IN S
=
×
× ×
( )
( )
I I max 0.5 I
PK OUT PP
= + ×( )
I I max 1
1
3
I
I max
INDUCTOR(rms) OUT
P
OUT
2
= × +
 
 
( )
( )
P I R
INDUCTOR Cu
INDUCTOR(rms)
WINDING
2
= ×
R R 1 0.0042 (T T )
WINDING(hot) WINDING(20 C) HOT 20 C
= × + ×
( )
° °
R
V
I
ESR
OUT
PP
V
I (1 D
)
C f
I R
OUT
PP
OUT S
2
PP ESR
2
=
×
×
+ ×
( )
I
I
12
C
PP
OUT(rms)
=
P I R
DISS(C C ESR(C )
OUT
OUT(rms)
2
OUT
)
= ×
V I R
IN INDUCTOR(peak) ESR(C )
IN
= ×
The output capacitor ESR also affects the overall voltage feedback loop from stability point of view. See “Feedback Loop
The peak inductor current is equal to the average output current
Compensation” section for more information. The maximum value of ESR is calculated:
plus one half of the peak-to-peak inductor ripple current.
The RMS inductor current is used to calculate the I2 × R losses in the inductor.
The resistance of the copper wire, R
WINDING
, increases with temperature. The value of the winding resistance used should be at the operating temperature.
where:
T
T
R
WINDING(20°C)
= temperature of the wire under operating load
HOT
= ambient temperature
20°C
is room temperature winding resistance (usu-
ally specified by the manufacturer)
Output Capacitor Selection
The output capacitor values are usually determined capaci­tors ESR (equivalent series resistance). Voltage and RMS current capability are two other important factors selecting the output capacitor. Recommended capacitors tantalum, low-ESR aluminum electrolytics, and POSCAPS. The output capacitor’s ESR is usually the main cause of output ripple.
where:
V
= peak-to-peak output voltage ripple
OUT
IPP = peak-to-peak inductor ripple current
The total output ripple is a combination of the ESR output capacitance. The total ripple is calculated below:
where:
D = duty cycle
C
= output capacitance value
OUT
fS = switching frequency
The output capacitor RMS current is calculated below:
The power dissipated in the output capacitor is:
Input Capacitor Selection
The input capacitor should be selected for ripple current rating and voltage rating. Tantalum input capacitors may fail when subjected to high inrush currents, caused by turning the input supply on. Tantalum input capacitor voltage rating should be at least 2 times the maximum input voltage to maximize reliability. Aluminum electrolytic, OS-CON, and multilayer polymer film capacitors can handle the higher inrush currents without voltage derating. The input voltage ripple will primarily depend on the input capacitor’s ESR. The peak input current is equal to the peak inductor current, so:
The input capacitor must be rated for the input current ripple. The RMS value of input capacitor current is determined at the maximum output current. Assuming the peak-to-peak inductor ripple current is low:
April 2005 9 M9999-040805
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MIC2168 Micrel, Inc.
I I max D (1 D)
C (rms) OUT
IN
× × ( )
P I R
DISS(C )
C (rms)
ESR(C )
IN
IN
2
IN
= ×
Error Amp
7
MIC2168 [adj.]
FB
V
REF
0.8V
R2
R1
V V 1
R1
R2
O REF
= × +
 
 
R2
V R
1
V V
REF
O REF
=
×
V V
DIODE(rrm)
IN
=
P I V
DIODE D(avg) F
= ×
ESR
C
OUT
V
O
DCRL
(1 + ESR × s × C)
 
 
-
G
(S)
DCR × s × C + s2× L × C + 1 + ESR × s × C
The power dissipated in the input capacitor is:
Voltage Setting Components
The MIC2168 requires two resistors to set the output voltage as shown in Figure 2.
Figure 2. Voltage-Divider Configuration
Where:
V
for the MIC2168 is typically 0.8V
REF
The output voltage is determined by the equation:
A typical value of R1 can be between 3k and 10k. If R1 is too large, it may allow noise to be introduced into the voltage feedback loop. If R1 is too small, in value, it will decrease the efficiency of the power supply, especially at light loads. Once R1 is selected, R2 can be calculated using:
External Schottky Diode
An external freewheeling diode is used to keep the inductor current flow continuous while both MOSFETs are turned off. This dead time prevents current from flowing unimpeded through both MOSFETs and is typically 15ns. The diode conducts twice during each switching cycle. Although the average current through this diode is small, the diode must be able to handle the peak current.
V
= forward voltage at the peak diode current
F
The external Schottky diode, D1, is not necessary for circuit operation since the low-side MOSFET contains a parasitic body diode. The external diode will improve efficiency and decrease high frequency noise. If the MOSFET body diode is used, it must be rated to handle the peak and average cur­rent. The body diode has a relatively slow reverse recovery time and a relatively high forward voltage drop. The power lost in the diode is proportional to the forward voltage drop of the diode. As the high-side MOSFET starts to turn on, the body diode becomes a short circuit for the reverse recovery period, dissipating additional power. The diode recovery and the circuit inductance will cause ringing during the high-side MOSFET turn-on. An external Schottky diode conducts at a lower forward voltage preventing the body diode in the MOSFET from turning on. The lower forward voltage drop dissipates less power than the body diode. The lack of a reverse recovery mechanism in a Schottky diode causes less ringing and less power loss. Depending on the circuit components and operating conditions, an external Schottky diode will give a 1/2% to 1% improvement in efficiency.
Feedback Loop Compensation
The MIC2168 controller comes with an internal transcon­ductance error amplifier used for compensating the voltage feedback loop by placing a capacitor (C1) in series with a resistor (R1) and another capacitor C2 in parallel from the COMP pin to ground. See “Functional Block Diagram.”
Power Stage
The power stage of a voltage mode controller has an induc­tor, L1, with its winding resistance (DCR) connected to the output capacitor, C
, with its electrical series resistance
OUT
(ESR) as shown in Figure 3. The transfer function G(s), for such a system is:
Figure 3. The Output LC Filter in a Voltage Mode
Buck Converter
The reverse voltage requirement of the diode is:
The power dissipated by the Schottky diode is:
where:
M9999-040805 10 April 2005
Plotting this transfer function with the following assumed values (L=2 µH, DCR=0.009Ω, C
=1000µF, ESR=0.050) gives
OUT
Page 11
MIC2168 Micrel, Inc.
100 1
.
1
0
3
1
.
1
0
4
1
.
1
0
5
1
.
1
0
6
60
37.5
15
7.5
30
30
60
GAIN
1000000100
f
100 1
.
10
3
1
.
10
4
1.10
5
1
.
10
6
150
100
50
0
0
180
P
1000000100 f
1
=
f
C
2 × π √ L × C
OUT
1
=
f
ZERO
2 × π × ESR × C
OUT
100 1
.
10
3
1
.
10
4
1
.
10
5
1
.
10
6
150
100
50
0
0
180
P
1000000100 f
1+ R1 × S × C1
×
g
m
s × (C1 + C2)
Error Amplifier (z)
-
 
 
1 + R1 ×
C1 × C2 × S
C1 + C2
1+ R1 × S × C1
×
g
m
s × (C1)(1+ R1 × C2 × S)
Error Amplifier (z)
-
 
 
It can be seen from the transfer function G(s) and the gain curve that the output inductor and capacitor create a two pole system with a break frequency at:
Therefore, fLC = 3.6kHz
By looking at the phase curve, it can be seen that the output capacitor ESR (0.050) cancels one of the two poles (LC system by introducing a zero at:
Therefore, F
From the point of view of compensating the voltage loop, it is recommended to use higher ESR output capacitors since they provide a 90° phase gain in the power path. For comparison purposes, Figure 6, shows the same phase curve with an ESR value of 0.002.
April 2005 11 M9999-040805
Figure 4. The Gain Curve for G(s)
Figure 5. Phase Curve for G(s)
= 6.36kHz.
ZERO
Figure 6. The Phase Curve with ESR = 0.002
It can be seen from Figure 5 that at 50kHz, the phase is approximately –90° versus Figure 6 where the number is –150°. This means that the transconductance error ampli­fier has to provide a phase boost of about 45° to achieve a closed loop phase margin of 45° at a crossover frequency of 50kHz for Figure 4, versus 105° for Figure 6. The simple RC and C2 compensation scheme allows a maximum error amplifier phase boost of about 90°. Therefore, it is easier to stabilize the MIC2168 voltage control loop by using high ESR value output capacitors.
gm Error Amplifier
It is undesirable to have high error amplifier gain at high frequencies because high frequency noise spikes would be picked up and transmitted at large amplitude to the output, thus, gain should be permitted to fall off at high frequencies. At low frequency, it is desired to have high open-loop gain to attenuate the power line ripple. Thus, the error amplifier gain should be allowed to increase rapidly at low frequencies.
The transfer function with R1, C1, and C2 for the internal gm error amplifier can be approximated by the following equation:
)
OUT
The above equation can be simplified by assuming C2<<C1,
From the above transfer function, one can see that R1 and C1 introduce a zero and R1 and C2 a pole at the following frequencies:
Fzero= 1/2 π × R1 × C1
Fpole = 1/2 π × C2 × R1
Fpole@origin = 1/2 π × C1
Figures 7 and 8 show the gain and phase curves for the above transfer function with R1 = 9.3k, C1 = 1000pF, C2 = 100pF, and gm = .005–1. It can be seen that at 50kHz, the error amplifier exhibits approximately 45° of phase margin.
Page 12
MIC2168 Micrel, Inc.
1.10
3
1
.
10
4
1
.
10
5
1
.
10
6
1
.
10
7
20
40
60
60
.0
01
E
100000001000 f
10 100 1
.
1
031.1041
.
10
5
1
.
1
0
6
260
240
220
200
215.856
270
E
100000010 f
100 1
.
10
3
1
.
10
4
1
.
10
5
1
.
10
6
50
0
50
100
71.607
42.933
OPEN LOOP GAIN MARGIN
1000000100 f
10 100 1
.
1
0
3
1
.
1
0
4
1.10
5
1
.
1
0
6
350
300
250
269.097
360
100000010 f
OPEN LOOP PHASE MARGIN
Figure 7. Error Amplifier Gain Curve
Figure 8. Error Amplifier Phase Curve
Total Open-Loop Response
The open-loop response for the MIC2168 controller is easily obtained by adding the power path and the error amplifier gains together, since they already are in Log scale. It is desirable to have the gain curve intersect zero dB at tens of kilohertz, this is commonly called crossover frequency; the phase margin at crossover frequency should be at least 45°. Phase margins of 30° or less cause the power supply to have substantial ringing when subjected to transients, and have little tolerance for component or environmental variations. Figures 9 and 10 show the open-loop gain and phase margin. It can be seen from Figure 9 that the gain curve intersects the 0dB at approximately 50kHz, and from Figure 10 that at 50kHz, the phase shows approximately 50° of margin.
Figure 9. Open-Loop Gain Margin
Figure 10. Open-Loop Phase Margin
M9999-040805 12 April 2005
Page 13
MIC2168 Micrel, Inc.
Design Example
Layout and Checklist:
1. Connect the current limiting (CS) resistor directly to the drain of top MOSFET Q1.
2. Connect the VSW pin directly to the source of top MOSFET Q1 thru a 4 to 10 resistor. The purpose of this resistor is to filter the switch node.
3. The feedback resistors R1 and R2 should be placed close to the FB pin. The top side of R1 should connect directly to the output node. Run this trace away from the switch node (junction of Q1, Q2, and L1). The bottom side of R1 should connect to the GND pin on the MIC2168.
4. The compensation resistor and capacitors should be placed right next to the COMP/EN pin and the other side should connect directly to the GND pin on the MIC2168 rather than going to the plane.
5. The input bulk capacitors should be placed close to the drain of the top MOSFET.
6. The 1µF ceramic capacitor should be placed right on the VIN pin of the MIC2168.
7. The 4.7µF to 10µF ceramic capacitor should be placed right on the VDD pin.
8. The source of the bottom MOSFET should connect directly to the input capacitor GND with a thick trace. The output capacitor and the input capacitor should connect directly to the GND plane.
9. Place a 0.1µF ceramic capacitor in parallel with the CS resistor to filter any switching noise.
April 2005 13 M9999-040805
Page 14
MIC2168 Micrel, Inc.
Rev. 00
Package Information
10-Pin MSOP (MM)
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
This 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 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
M9999-040805 14 April 2005
Micrel reserves the right to change circuitry and specifications at any time without notification to the customer.
Micrel for any damages resulting from such use or sale.
© 2003 Micrel Incorporated
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