l TEXAS
INSTRUMENTS
0.8
CC
L CC
DD
V
I = I
V
æ ö
´ç ÷
´
è ø
(10)
( )
DD CC DD
L boost CC
V V V
L =
I f V
´ -
D ´ ´
(11)
CAPACITOR SELECTION
SURFACE MOUNT CAPACITORS
TPA2100P1
www.ti.com
........................................................................................................................................................................................... SLOS595 – DECEMBER 2008
Use Equation 10 to determine the required current rating. Equation 10 shows the approximate relationshipbetween the average inductor current, I
L
, to the load current, load voltage, and input voltage (I
CC
, V
CC
, and V
DD
,respectively). Insert I
CC
, V
CC
, and V
DD
into Equation 10 to solve for I
L
. The inductor must maintain at least 90% ofits initial inductance value at this current.
The minimum working inductance is 3.3 µH. A lower value may cause instability.
Ripple current, ΔI
L
, is peak-to-peak variation in inductor current. Smaller ripple current reduces core losses in theinductor as well as the potential for EMI. Use Equation 11 to determine the value of the inductor, L. Equation 11shows the relationship between inductance L, V
DD
, V
CC
, the switching frequency, f
BOOST
, and ΔI
L
. Insert themaximum acceptable ripple current into Equation 11 to solve for L.
ΔI
L
is inversely proportional to L. Minimize ΔI
L
as much as is necessary for a specific application. Increase theinductance to reduce the ripple current. Note that making the inductance value of L greater than 10 µH willprevent the boost converter from responding to fast load changes properly. A typical inductor value for theTPA2100P1 is 4.7 µH.
Select an inductor with a dc resistance, DCR, no greater than 0.5 Ω. DCR reduces the amount of power thedevice receives from the supply due to the voltage drop across the inductor.
Temperature and applied dc voltage influence the actual capacitance of high-K materials.
Table 1 shows the relationship between the different types of high-K materials and their associated tolerances,temperature coefficients, and temperature ranges. Notice that a capacitor made with X5R material can lose up to15% of its capacitance within its working temperature range.
Table 1. Typical Tolerance and Temperature Coefficient of Capacitance by Material
MATERIAL COG/NPO X7R X5R
Typical tolerance ± 5% ± 10% ± 20%
Temperature Coefficient ± 30 ppm ± 15% ± 15%
Temperature range, ° C – 55/125 ° C – 55/125 ° C – 55/85 ° C
High-K material is very sensitive to applied dc voltage. X5R capacitors have can have losses ranging from 15%to 45% of their initial capacitance with only half of their dc rated voltage applied. For example, if 5 Vdc is appliedto a 10 V, 1 µF X5R capacitor, the measured capacitance at that point may show between 0.55 µF and 0.85 µF.Y5V capacitors have losses that can reach or exceed 50% to 75% of their rated value.
The working capacitance of components made with high-K materials is generally much lower than nominalcapacitance. A worst case result with a typical X5R material might be – 10% tolerance, – 15% temperature effect,and – 45% dc voltage effect at 50% of the rated voltage. This particular case would result in a workingcapacitance of 42% (0.9 × 0.85 × 0.55) of the nominal value.
Select high-K ceramic capacitors according to the following rules:
1. Use capacitors made of materials with temperature coefficients of X5R, X7R, or better.
2. Use capacitors with dc voltage ratings of at least twice the application voltage, because high-K capacitorvalues generally are reduced by DC voltage. 25V capacitors are recommended when boost converter outputis 10V. The minimum rating that should be used in this case is 16V, but correct operation should be verifiedcarefully.
3. Choose a capacitance value at least twice the nominal value calculated for the application. Multiply thenominal value by a factor of 2 for safety. If a 10 µF capacitor is required, use 22 µF.
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