ADP5070AREZ-R7 datasheet(21/28 Pages) AD

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ADP5070

Data Sheet

Rev. A | Page 20 of 27

When the ADP5070 inverting regulator is operated in CCM at

duty cycles greater than 50%, slope compensation is required to

stabilize the current mode loop. For stable current mode operation,

ensure that the selected inductance is equal to or greater than

the minimum calculated inductance, LMIN2, for the application

parameters in the following equation:













−

)

(

MIN2

DUTY

(µH)

Table 11 suggests a series of inductors to use with the ADP5070

inverting regulator.

LOOP COMPENSATION

The ADP5070 uses external components to compensate the

regulator loop, allowing the optimization of the loop dynamics

for a given application. It is recommended to use the ADIsimPower

tool to calculate compensation components.

Boost Regulator

The boost converter produces an undesirable right half plane

zero in the regulation feedback loop. This feedback loop requires

compensating the regulator such that the crossover frequency

occurs well below the frequency of the right half plane zero. The

right half plane zero is determined by the following equation:

DUTY

RHP

LOAD1

−

)

(

)

(

where:

fZ1(RHP) is the right half plane zero frequency.

RLOAD1 is the equivalent load resistance or the output voltage

divided by the load current.













−

DIODE1

POS

DIODE1

POS

DUTY

where VDIODE1 is the forward voltage drop of the Schottky diode

(D1).

To stabilize the regulator, ensure that the regulator crossover

frequency is less than or equal to one-tenth of the right half

plane zero frequency.

The boost regulator loop gain is

OUT1

CS1

COMP1

OUT1

POS

FB1

VL1

where:

AVL1 is the loop gain.

VFB1 is the feedback regulation voltage

VPOS is the regulated positive output voltage.

VIN is the input voltage.

GM1 is the error amplifier transconductance gain.

ROUT1 is the output impedance of the error amplifier and is 33 MΩ.

ZCOMP1 is the impedance of the series RC network from COMP1

to AGND.

GCS1 is the current sense transconductance gain (the inductor

current divided by the voltage at COMP1), which is internally

set by the ADP5070 and is 6.25 A/V.

ZOUT1 is the impedance of the load in parallel with the output

capacitor.

To determine the crossover frequency (fC1), it is important to

note that, at that frequency, the compensation impedance (ZCOMP1)

is dominated by a resistor (RC1), and the output impedance (ZOUT1)

is dominated by the impedance of an output capacitor (COUT1).

Therefore, when solving for the crossover frequency, the equation

(by definition of the crossover frequency) is simplified to

OUT1

CS1

POS

FB1

VL1

where fC1 is the crossover frequency.

To solve for RC1, use the following equation:

CS1

FB1

POS

OUT1

)

where GCS1 = 6.25 A/V.

Using typical values for VFB1 and GM1 results in

POS

OUT1

)

4188

For better accuracy, it is recommended to use the value of output

capacitance, COUT1, expected for the dc bias conditions under

which it operates under in the calculation for RC1.

After the compensation resistor is known, set the zero formed

by the compensation capacitor and resistor to one-fourth of the

crossover frequency, or

where CC1 is the compensation capacitor value.

ERROR

AMPLIFIER

REF1

gM1

FB1

COMP1

RC1

CB1

CC1

Figure 45. Compensation Components

The capacitor, CB1, is chosen to cancel the zero introduced by

the output capacitor ESR. Solve for CB1 as follows:

OUT1

ESR

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