Bit of a guess, but I think what's going on is the manufacturer is recommending the best possible fuse for a particular set of circumstances:
- On power up the VFD capacitor bank might draw a short burst of very heavy current if the switch happens to be operated close to the top of the AC cycle. To the supply it will look like a short except it only lasts a few milliseconds. This is worst case, if by luck the switch is turned on 10mS earlier, the voltage will be zero, and current starts to flow gently. 5mS after the peak and the voltage is well on the way down. I feel this is less likely to happen with modern VFD because it's not difficult to design in zero point starting. BUT
- The motor pulls a lot of extra current on start-up, especially if it's already loaded and the lubrication is stiff on a cold day. Again the supply 'sees' something suspiciously like a short circuit except it doesn't last long.
Given there are two false short-circuits how best to defend against a dangerous real short? One way is to fit a slow blow fuse sized to the expected 'normal' current; these take a heavy current for long enough not to be fooled by brief overloads. But each time it happens the fuse is stressed and it will give up the ghost eventually: as a solution it's safe but causes interruptions. Alternatively, fit a fuse large enough to take the full short-term overload current plus a little extra, but make sure it has a fast blow characteristic. A big quick blow fuse will be resilient to brief overloads but can be sized to pop quickly in the event of an actual fault.
In amateur use an ordinary 13A fuse should be fine. The VFD is unlikely to be powered up and down as much as a professional set-up, and the ordinary fuse may last decades. Eventually it might get tired and die, but that's hardly a crisis – just put a new one in. This approach wouldn't do in a professional shop and the VFD supplier would get complaints. To avoid them, I suggest he recommends an expensive fuse that balances safety and reliability. All we need to is keep it safe.
I'm reasonably comfortable using a small fuse in place of a big one. What would be a gigantic mistake would be to replace the makers recommended expensive fast blow fuse with an nice cheap slow blow of the same amperage. A lot more damage will be done in the time it takes a slow-blow to eventually break.
Ignore any and all of the above if a professional electrician disagrees!
Dave