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TPS2663: Capacitive Load into thermal regulation

Part Number: TPS2663

Tool/software:

Hi, in my application, Im trying to connect a TPS2663x to a motor controller board which has 10mF of capacitor on board with 200W max. Using the calculator, I noticed that the device will go into thermal regulation at startup due to inrush current. Refer to the application note: https://www.ti.com/lit/an/slvaeb9a/slvaeb9a.pdf,  I would say it is expected but I wonder if it would put a stress on the internal FET of the eFuse?  Plus, how long would it take to get out of thermal regulation then? Is there any other step I should take to limit the inrush current? 

I have attached my calculator sheet for reference. 

PTU_TPS2663x _TPS1663x_Design_Calculator_revB .xlsx