zwora wrote: What about the capacitor in such a situation? After all, with a changed frequency, its reactance will change, so the angles between the voltage vectors in the starting and operating phases will change.
A fair point. Therefore, instead of an inverter for a 1-phase motor
http://www.directautomation.eu/view,50,122,614,17.html it is worth considering buying an inverter for a 3-phase motor
http://www.directautomation.eu/view,26,54,37,1.html and a new 3-phase motor
http://www.directautomation.eu/view,11,18,14,7.html With this "simple" move, we get rid of the problems with the capacitor (changes in reactance, sensitivity to higher harmonics) and problems with starting (the known problem of 1-phase squirrel-cage motors), we gain a 1-phase motor for other applications, and financially we go to about 0 ...
and by the way, nice driving ...
water resistance ...
autotransformer...
thyristor voltage regulator ...
People have forgotten that in the past, DC motors were used to regulate speed by more than a few%, or in a ring type rather than a cage motor. And it wasn't all that easy. I suggest you search, for example, in Wikipedia for the password "Leonardo's system"

(these comments, of course, to the collective, not the jumper)