(in Hz)

RHPzero =

2

1

(in Hz)

1

(in Hz)

L

(in V/s)

n = 1+

2mc

m1

(no unit)

Leff =

L

(D')

2

Z

c

(in rad/s)

2fs

nD'

#

(

)

LM3224

www.ti.com

SNVS277B – DECEMBER 2004 – REVISED SEPTEMBER 2005

(8)

(9)

(10)

(11)

mc

≊ 0.072fs (in V/s)

(12)

(13)

INPUT AND OUTPUT CAPACITOR SELECTION

The switching action of a boost regulator causes a triangular voltage waveform at the input. A capacitor is

required to reduce the input ripple and noise for proper operation of the regulator. The size used is dependant on

the application and board layout. If the regulator will be loaded uniformly, with very little load changes, and at

lower current outputs, the input capacitor size can often be reduced. The size can also be reduced if the input of

the regulator is very close to the source output. The size will generally need to be larger for applications where

the regulator is supplying nearly the maximum rated output or if large load steps are expected. A minimum value

of 10µF should be used for the less stressful condtions while a 22µF to 47µF capacitor may be required for

higher power and dynamic loads. Larger values and/or lower ESR may be needed if the application requires very

low ripple on the input source voltage.

The choice of output capacitors is also somewhat arbitrary and depends on the design requirements for output

such as ceramic, polymer electrolytic, or low ESR tantalum. Higher ESR capacitors may be used but will require

more compensation which will be explained later on in the section. The ESR is also important because it

determines the peak to peak output voltage ripple according to the approximate equation:

(14)

A minimum value of 10µF is recommended and may be increased to a larger value. After choosing the output

capacitor you can determine a pole-zero pair introduced into the control loop by the following equations:

(15)

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ESR of the output capacitor is generally very high frequency if the ESR is small. If low ESR capacitors are used

it can be neglected. If higher ESR capacitors are used see the High Output Capacitor ESR Compensation

section. Some suitable capacitor vendors include Vishay, Taiyo-Yuden, and TDK.

RIGHT HALF PLANE ZERO

A current mode control boost regulator has an inherent right half plane zero (RHP zero). This zero has the effect

of a zero in the gain plot, causing an imposed +20dB/decade on the rolloff, but has the effect of a pole in the

phase, subtracting another 90° in the phase plot. This can cause undesirable effects if the control loop is

influenced by this zero. To ensure the RHP zero does not cause instability issues, the control loop should be

designed to have a bandwidth of less than ½ the frequency of the RHP zero. This zero occurs at a frequency of:

(17)

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