mic4723yml Micrel Semiconductor, mic4723yml Datasheet - Page 14

• Manufacturer Part Number: mic4723yml
• Description: Mic4723 3a 2mhz Integrated Switch Buck Regulator
• Manufacturer: Micrel Semiconductor

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).
Typically for 3.3Vin and 1.8Vout at 3A;
Gain will also increase with input voltage. The following
graph shows the increase in GBW for an increase in
supply voltage.
5Vin, 1.8Vout at 3A load;
Being that the MIC4723 is non-synchronous; the
Micrel, Inc.
January 2008
•
•
•
•
Phase Margin=47 Degrees
GBW=156KHz
Phase Margin=43.1 Degrees
GBW= 218KHz
-10
-20
-30
-10
-20
-30
60
50
40
30
20
10
60
50
40
30
20
10
100
100
0
0
V
V
IN
L=1µH
C
R1 = 10k
R2 = 12.4k
C
L=1µH
C
R1 = 10k
R2 = 12.4k
C
IN
=3.3V, V
OUT
FF
OUT
FF
=5V, V
= 82pF
= 82pF
= 4.7µF
= 4.7µF
1k
FREQUENCY (Hz)
1k
FREQUENCY (Hz)
Bode Plot
Bode Plot
OUT
OUT
10k
10k
=1.8V, I
=1.8V, I
PHASE
PHASE
GAIN
GAIN
100k
100k
OUT
OUT
=3A
=3A
1M
1M
210
175
140
105
70
35
0
-35
-70
-105
210
175
140
105
70
35
0
-35
-70
-105
14
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.
3.3Vin, 1.8Vout Iout=50mA;
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.
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.
•
•
Phase Margin=90.5 Degrees
GBW= 64.4KHz
-10
-20
-30
-10
60
50
40
30
20
10
V
-1
-2
-3
-4
-5
-6
-7
-8
-9
0
100
0
100
IN
L=1µH
C
R1 = 10k
R2 = 12.4k
C
L=1µH
C
R1 = 10k
R2 = 12.4k
C
=3.3V,V
OUT
FF
OUT
FF
= 82pF
= 82pF
= 4.7µF
= 4.7µF
Gain and Phase
1k
FREQUENCY (Hz)
1k
FREQUENCY (Hz)
vs. Frequency
Bode Plot
OUT
=1.8V,I
10k
10k
GAIN
PHASE
GAIN
PHASE
OUT
100k
100k
=50mA
1M
1M
M9999-011808-D
210
175
140
105
70
35
0
-35
-70
-105
25
20
15
10
5
0
MIC4723