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 3300 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 8-7 shows the thermal
shutdown limit, for 2.82 W of power, the shutdown time is more than 10 s which is very
large as compared to tR = 12 ms. Therefore, it is safe to use 12 ms as the
start-up time for this application.