For the benefit of the OP, good advice at the beginning of the thread.
If not familiar with this class of device, almost any branded product from a reputable UK supplier will be suitable (several have been mentioned). You will have peace of mind, a guarantee of some sort and useful back up. one of the vendors supplies helpful quick set up diagrams if you go down the DIY route.
Avoid web sourced unbranded generic VFDs unless know what you are doing, content with the associated risks of inadequate documentation, zero back up, worthless guarantees and quality control issues. etc. Many (including myself) have managed to get useful service from these units but that has come (in my case) at the cost of a great deal of time and effort trying to understand and test the available control parameters etc.
Assuming you purchase from a UK supplier…
You will pay more (much more in some cases) for a full installation solution/package of motor pendant VFD all wired up, but it will save you time and may be a lower risk solution.
You do not need a complex VFD device with hundreds of weird and wonderful parameters that you are unlikely to use and that has a premium prices accordingly. A simpler unit will be perfectly adequate for a manual lathe drive, just check that the control functionality suits your requirements (ie do you need braking, ramp start, reverse, jogging, e-stop, reset etc). I assume that your lathe is not set up as a CNC device, in which case you may need additional control functions.
A vectored thrust device to give more low speed torque is desirable but you are likely to have to pay more than for a simpler device.
The VFD power rating should match the rating of the intended motor. A slightly higher rated VFD will be OK, but not a unit that is rated at less than the nominal motor power rating.
Ultimately I would ask do you really, really need a VFD? If the answer is because you want to use a 3 phase motor and benefit from the smooth and quiet power delivery and low voltage controls, then pass GO and expend £200 in blood and treasure.
If the answer is 'because I cant be arsed to change belt position every time I switch from turning to threading' then you might well be disappointed with the outcome.
Edited By Martin of Wick on 01/01/2022 12:15:45