Static converters are no good for anything other than direct motor loads. They rely on the motor spinning, and the corresponding load/backemf and a bank of capacitors to create the generated leg. Without the spinning motor, the generated leg voltage will be all over the place. Even with a motor attached, the generated leg voltage will vary during changing loads. More advanced static converters let you switch capacitors in/out to try and compensate, and some even do it automatically for you.

However, what you could do, is attach a reasonably sized motor to the static converter, and you have a rotary converter.