For a successful design, the junction
temperature of device must be kept below the absolute maximum rating during both dynamic
(start-up) and steady-state conditions. Dynamic power stresses often are an order of
magnitude greater than the static stresses, so it is important to determine the right
start-up time and inrush current limit required with system capacitance to avoid thermal
shutdown during start-up.
The slew
rate (SR) needed to achieve the desired output rise time can be calculated
as:
Equation 9.
The CdVdt needed to
achieve this slew rate can be calculated as:
Equation 10.
Choose the nearest standard capacitor
value as 1100 pF.
For this slew
rate, the inrush current can be calculated as:
Equation 11.
The average power dissipation inside
the part during inrush can be calculated as:
Equation 12.
For the given
power dissipation, the thermal shutdown time of the device must be greater than the
ramp-up time tR to avoid start-up failure. Figure 9-4 shows the thermal
shutdown limit, for 0.38 W of power, the shutdown time is over 100 ms which is very
large as compared to tR = 5 ms. Therefore, it is safe to use 5 ms as the
start-up time for this application.