Hi everyone, I’m designing a three-phase inverter that receives an input voltage range of [42 .. 52]V from a power supply and draws a maximum of 4A.
However, there is a inrush (when it is switched on) like this:

I DON'T need to reduce this inrush current in the current application; let's just focus on the fuse, please
I need to select a fuse to protect the circuit (to be placed in the green circle), bearing in mind that the 48 Vdc will be split between two DC-DC converters:

Please disregard the calculations; they may be incorrect and shouldn’t be used to select the fuse, as I personally measured the maximum 4A input using a current probe on the 48V supply of a PCB I’m currently using with the motor and the load… so please focus on the block diagram. Obviously, if you spot any obvious mistakes, please let me know, even though that isn’t the purpose of this question
While reading through a few application notes online, I found that:
1) Vfuse > 1.1 * Vi,max
2) Ifuse >= Ii,max / (Fsafe * Ftemp) .. dove Fsafe=0.75 to prevent premature ageing by operating it at a lower current; Ftemp depends on the thermal derating curve of the selected fuse
3) I2T calculated using the following formula found here:

in my case: I2T = 1/2 * (15A)^2 * 16ms = 1.8 A*s^2
Could you confirm whether these three points are correct?
I’ve chosen this fuse – let me know if it’s OK:

4) I know I could have considered fitting fuses here too, but perhaps we should look at this case once we’ve worked out how to size the one upstream…

Thanks.
However, there is a inrush (when it is switched on) like this:

I DON'T need to reduce this inrush current in the current application; let's just focus on the fuse, please
I need to select a fuse to protect the circuit (to be placed in the green circle), bearing in mind that the 48 Vdc will be split between two DC-DC converters:

Please disregard the calculations; they may be incorrect and shouldn’t be used to select the fuse, as I personally measured the maximum 4A input using a current probe on the 48V supply of a PCB I’m currently using with the motor and the load… so please focus on the block diagram. Obviously, if you spot any obvious mistakes, please let me know, even though that isn’t the purpose of this question
While reading through a few application notes online, I found that:
1) Vfuse > 1.1 * Vi,max
2) Ifuse >= Ii,max / (Fsafe * Ftemp) .. dove Fsafe=0.75 to prevent premature ageing by operating it at a lower current; Ftemp depends on the thermal derating curve of the selected fuse
3) I2T calculated using the following formula found here:

in my case: I2T = 1/2 * (15A)^2 * 16ms = 1.8 A*s^2
Could you confirm whether these three points are correct?
I’ve chosen this fuse – let me know if it’s OK:

4) I know I could have considered fitting fuses here too, but perhaps we should look at this case once we’ve worked out how to size the one upstream…

Thanks.