Datasheet

L
R Co
C4 =
R4
´
O L
1
p =
C R 2
æ ö
¦
ç ÷
´ ´
è ø
p
ea ps
2 c VOUT Co
R4 =
gm Vref gm
´ ¦ ´ ´
´ ´
p
Vref
VOUT
R8
R4
C4
C6
R9
CoeaRoea
gm
ea
COMP
VSENSE
Type 2A
Type 2B
R4
C4
C11
Type 3
O ESR
1
z =
C R 2
¦
´ ´ p
TPS54521
www.ti.com
SLVS981C JUNE 2010REVISED AUGUST 2013
(13)
Where
gm
ea
is the GM amplifier gain (1300μA/V)
gm
ps
is the power stage gain (12A/V).
R
L
is the load resistance
C
O
is the output capacitance.
R
ESR
is the equivalent series resistance of the output capacitor.
Small Signal Model for Frequency Compensation
The device uses a transconductance amplifier for the error amplifier and readily supports two of the commonly
used Type II compensation circuits and a Type III frequency compensation circuit, as shown in Figure 33. In
Type 2A, one additional high frequency pole, C6, is added to attenuate high frequency noise. In Type III, one
additional capacitor, C11, is added to provide a phase boost at the crossover frequency. See Designing Type III
Compensation for Current Mode Step-Down Converters (SLVA352) for a complete explanation of Type III
compensation.
The design guidelines below are provided for advanced users who prefer to compensate using the general
method. The below equations only apply to designs whose ESR zero is above the bandwidth of the control loop.
This is usually true with ceramic output capacitors. See the Application Information section for a step-by-step
design procedure using higher ESR output capacitors with lower ESR zero frequencies.
Figure 33. Types of Frequency Compensation
The general design guidelines for device loop compensation are as follows:
1. Determine the crossover frequency, fc. A good starting point is 1/10
th
of the switching frequency, fsw.
2. R4 can be determined by:
(14)
Where:
gm
ea
is the GM amplifier gain (1300μA/V)
gm
ps
is the power stage gain (12A/V)
Vref is the reference voltage (0.8V)
3. Place a compensation zero at the dominant pole:
C4 can be determined by:
(15)
4. C6 is optional. It can be used to cancel the zero from the ESR (Equivalent Series Resistance) of the output
capacitor Co.
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