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TPS25981: Pinrush, Iinrush and Slew Rate calculations

Part Number: TPS25981

Hi there!! I am about to use the TPS259813ARPWR in one of my new designs and I am a little bit confused about some data of datahseet. It's about the startup calculations and how to check if the startup is safe in my application.

What I saw in the datasheet is:

The Slew Rate is calculated with the following formulas:

   and can be adjusted with the capacitor: 

Once I have the Iinrush, I have to calculate the Pinrush as follows

And once I have the Pinrush, I go to the time to TSD chart and check if my ton is below the line for the Pinrush calculated.

Those are the steps I followed but then, I realized something I would like to check with you to see if I'm right or not. 

Let's put this in context. My application has a Cout of 1uF and Vin is 6V, but, at the output of the device I have a resistive load of 3Ohms so consumption is 2A nominal.

In this case, considering the max. slew rate is about 11V/ms (leaving dvdt pin floating - page 7 datasheet)

The inrush current given is about 11mA. I guess this is only the inrush current to charge the output capacitors, right? So I will have someting like this:

In one hand I'll have the Icap, that is the Iinrush calculated in datasheet using SR and Cout, considering the consumption of the line is 0A when the eFuse turns on. Then I have the nominal 2A that are growing with the voltage output. So, in this case, I guess my Pinrush should be 0,5*Icap*Vin + 0,5*Vin*Iout, that is 33mW + 6W, so, around 6W. And now, with this 6W I go to the time to TSD chart and evaluate the time to the thermal shut down and check that time is greater than, in this case, about 0,5ms (the time the output takes to go from 0V to 6V with a slew rate of about 11V/ms).

Am I right in my assumptions? The calculus in the datasheets are correct considering there is no load when the eFuse turns on, but in case the load is always connected to the eFuse, the calculus should be like the ones I explained before?

So, in the case of 6W, the time to thermal shut down should be about 10s,so I can adjust the slew rate to a lower value taking in mind that the power on time does not reach 10s (this case is obvious i wont reach that time, but just to clarify for future use cases)

Thanks so much!!