MCR03EZPFX1002 datasheet(19/32 Pages) IRF

19 / 32 page

Rev 16.0

PD-97660

IR3831WMPbF

(15)

.....

..........

current

ripple

Inductor

ripple

voltage

Output

)

(

)

(

)

(

)

(

)

(

)

(

⎟⎟

⎠

⎞

⎜⎜

⎝

⎛

−

ESL

ESR

ESL

ESR

ESL

ESR

Since the output capacitor has a major role in the

overall performance of the converter and

determines the result of transient response,

selection of the capacitor is critical. The

IR3831W can perform well with all types of

capacitors.

As a rule, the capacitor must have low enough

ESR to meet output ripple and load transient

requirements.

The goal for this design is to meet the voltage

ripple requirement in the smallest possible

capacitor size. Therefore it is advisable to select

ceramic capacitors due to their low ESR and ESL

and small size. Eight of the Panasonic ECJ-

2FB0J226ML (22uF, 6.3V, 3mOhm) capacitors is

a good choice.

Feedback Compensation

The IR3831W is a voltage mode controller. The

control loop is a single voltage feedback path

including error amplifier and error comparator. To

achieve fast transient response and accurate

output regulation, a compensation circuit is

necessary. The goal of the compensation

network is to provide a closed-loop transfer

function with the highest 0 dB crossing frequency

and adequate phase margin (greater than 45o).

The output LC filter introduces a double pole,

–40dB/decade gain slope above its corner

resonant frequency, and a total phase lag of 180o

(see figure 12). The resonant frequency of the LC

filter is expressed as follows:

Figure 12 shows gain and phase of the LC filter.

Since we already have 180o phase shift from the

output filter alone, the system runs the risk of

being unstable.

The IR3831W uses a voltage-type error amplifier

with high-gain (110dB) and wide-bandwidth. The

output of the error amplifier is available for DC

gain control and AC phase compensation.

The error amplifier can be compensated either in

type II or type III compensation.

Local feedback with Type II compensation is

shown in Fig. 13.

This method requires that the output capacitor

should have enough ESR to satisfy stability

requirements. In general the output capacitor’s

ESR generates a zero typically at 5kHz to 50kHz

which is essential for an acceptable phase

margin.

The ESR zero of the output capacitor is

expressed as follows:

(16)

..........

∗

Fig. 12. Gain and Phase of LC filter

(17)

.......

..........

ESR

*ESR*C

∗

Output Capacitor Selection

The voltage ripple and transient requirements

determine the output capacitors type and values.

The criteria is normally based on the value of the

Effective Series Resistance (ESR). However the :

actual capacitance value and the Equivalent Series

Inductance

(ESL)

are

other

contributing

components. These components can be described

Phase

-1800

Frequency

Gain

0 dB

Frequency

-40dB/decade

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