SLVSD01B September 2015 – May 2019 TPS57140-EP
PRODUCTION DATA.
To calculate the minimum value of the output inductor, use Equation 28.
KIND is a coefficient that represents the amount of inductor ripple current relative to the maximum output current.
The output capacitor filters the inductor ripple current. Therefore, choosing high inductor ripple currents impacts the selection of the output capacitor, because the output capacitor must have a ripple-current rating equal to or greater than the inductor ripple current. In general, the inductor ripple value is at the discretion of the designer; however, the designer can use the following guidelines.
For designs using low-ESR output capacitors such as ceramics, use a value as high as KIND = 0.3. When using higher-ESR output capacitors, KIND = 0.2 yields better results. Because the inductor ripple current is part of the PWM control system, the inductor ripple current should always be >100 mA for dependable operation. In a wide-input voltage regulator, it is best to choose an inductor ripple current on the larger side. This allows the inductor to still have a measurable ripple current with the input voltage at its minimum.
For this design example, use KIND = 0.2 and the calculated minimum inductor value is 7.6 μH. For this design, the choice was a nearest standard value of 10 μH. For the output filter inductor, it is important not to exceed the RMS-current and saturation-current ratings. Find the RMS and peak inductor current from Equation 30 and Equation 31.
For this design, the RMS inductor current is 1.506 A and the peak inductor current is 1.62 A. The chosen inductor is a MSS6132-103. It has a saturation current rating of 1.64 A and an RMS current rating of 1.9 A.
As the equation set demonstrates, lower ripple currents reduce the output voltage ripple of the regulator but require a larger value of inductance. Selecting higher ripple currents increases the output-voltage ripple of the regulator but allows for a lower inductance value.
The current flowing through the inductor is the inductor ripple current plus the output current. During power up, faults, or transient load conditions, the inductor current can increase above the calculated peak inductor current level calculated previously. In transient conditions, the inductor current can increase up to the switch-current limit of the device. For this reason, the most conservative approach is to specify an inductor with a saturation current rating equal to or greater than the switch-current limit rather than the peak inductor current.