Assume an ntc that connected to Vin (like 80V) limits inrush current at startup (e.g. 100A lasting 3ms).
At the startup, with its cold resistor it limits current by warming up.
I would like after those 3ms a relay (solid state given the high switching speed) in parallel with the ntc to close by shorting the ntc, so as to disconnect it from the circuit.
I have thought of 3 different "solutions" that I would like you to comment on (with pros and cons), but I would also like your design solutions (schematically).

1) Classic RC circuit ..too good to be true .. where's the catch??
2) Complex solution requiring a TIMER (not necessarily the 555). But I don't remember if its output generates a constant signal after x ms or if it generates a square wave, that is, an oscillation of period x ms
3) A supervisor that generates a logic signal (high/low) after a defined delay (a few ms) following the power-on. That logic signal is then to be used to activate the gate/solid state relay (SSR) input that actually closes the connection
4) Your designs..
At the startup, with its cold resistor it limits current by warming up.
I would like after those 3ms a relay (solid state given the high switching speed) in parallel with the ntc to close by shorting the ntc, so as to disconnect it from the circuit.
I have thought of 3 different "solutions" that I would like you to comment on (with pros and cons), but I would also like your design solutions (schematically).

1) Classic RC circuit ..too good to be true .. where's the catch??
2) Complex solution requiring a TIMER (not necessarily the 555). But I don't remember if its output generates a constant signal after x ms or if it generates a square wave, that is, an oscillation of period x ms
3) A supervisor that generates a logic signal (high/low) after a defined delay (a few ms) following the power-on. That logic signal is then to be used to activate the gate/solid state relay (SSR) input that actually closes the connection
4) Your designs..

