I have some trouble with choosing an NTC to limit the inrush current, where I want to bypass the NTC with a relay after a certain time.
The choosen NTC should be one of these here: https://www.mouser.ch/ds/2/18/AAS-920-325D-Thermometrics-NTC-Inrush-031814-web-850596.pdf
There is a total input capacitance of 5mF after the NTC and the Power Supply delivers 24V with a maximum of 30A.
The following schematic depicts the circuit, except that there is no transformer as load, but an input capacitance of 5mF.
The differntial equation system seems pretty complicated, since there are non-linearities from the ntc, which should be taken into account. Somehow I need to know the resistance over time, such that I can calculate the voltage at the input capacitance over time and so the current through the NTC. Has anyone an idea how to get a differential equation relation of the current and the NTC resistance?