Me.
Simple answer.
Just buy a VFD from a reputable supplier like Inverter Drive Supermarket and try. You may decide your motor works well enough. Even if you end up changing the pulleys to improve low speed grunt it will still go fast enough.
Boring details.
No need for a two speed motor. A 6 pole single speed motor will work fine with a VFD and give essentially the same power characteristics. Vector drive would be best. You may decide to up the power a little over standard but I can't see the gain being worthwhile. If you need more torque at low speeds consider adjusting pulley sizes a little. Top speed should still be more than enough.
A standard 1,400 rpm motor needs a smaller motor pulley to help compensate for power reduction at lower speeds when driven by the VFD which will be operating in constant torque mode . In general over ± 1/3 rd of motor nameplate speed you will not notice any motor power issues from the VFD. Once you start dropping below 2/3 rds nameplate you may notice if working hard on large jobs. A 6 pole motor pushes the "you may notice" speed down sufficiently that a home shop worker is virtually certain never to be affected. Lots of folk do just fine with a 1400 rpm motor though.
Theoretically an 8 pole motor will be a closer match but again the extra cost isn't worthwhile.
Two speed motors are expensive and don't play well with vector drive VFD boxes. Although a basic voltage / frequency drive can work well enough its impossible to set the internal parameters to match both speeds. So you end up with a compromise that suits neither. In particular you can't get a maximum current setting that suits both speeds so there is a potential safety hazard.
Clive
Edited By Clive Foster on 14/01/2022 13:53:49