[Solved] Choosing Tube Fuse: Power Consumption vs. Total Power Loss?

I have two items in the controller description
Power Consumption typ. 0.96W, max. 4.3W
Total Power Loss max. 7.8W

What is the difference between these sizes and which one should I use for the fuse selection?

Probably none of them, you need to take into account inrush current when switching the device on.

I am enclosing the device data - there is no such item there. Besides, the device will be permanently switched on.

Egot wrote:

I am enclosing the device data - there is no such item there. Besides, the device will be permanently switched on.

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And what are you going to power it from?
If from a dedicated power supply with a current capacity of, let's say, 1A then the fuse on the 24V DC side is unnecessary, the power supply should be protected on the AC side.
Otherwise (a power supply with a high current capacity), the controller's power supply can be protected with a 1A delayed fuse.

I wanted to use a tube fuse .
I'm using a high power supply because there are several similar devices connected.
I would like to know how to calculate, firstly to know, secondly there are several devices with different power consumption so I would like to know which item to take for the calculation.

You are given the power with all relays on, in this case 4.32 watts. You are probably supplying power from a 24 Vdc power supply.
4.32/24 = Current drawn = 0.18 [W/V=A] - that's not much....
In this device you have 4 analogue outputs (max 20 mA each) -> 0.08 A
The exposed analogue inputs can also lose a few mA when operating.
So the total power lost is the value you need to take into account for protection.
The nominal protection for this device is 8.6/24 = Current drawn = 0.358 [W/V=A].
The protection should have an excess of at least x 1.2 so 0.5 A should protect.... but it must have a delayed characteristic (higher current at start-up due to charging of the inverter capacitors inside the device or, in older designs, magnetisation of the core in transformers - which even delayed inserts could not withstand).
In addition, it is still necessary to verify in practice the data that the Manufacturer provides (power consumed and type of start-up), so it may turn out that the protection must be selected even x1.5 - 2.5 of the nominal current....
And in practice: Lord... 1 A and you'll be fine

I gave a 1A fuse