Capacitors cant store enuf energy to be used to convert single phase

to 3 phase , you must use rotary machines to store the energy .

Its real simple , a motor is powered to store energy , which it
delivers

to a phase wire on a 3 phase motor , you simply control the energy

applied to the single phase so it can deliver this energy , but
delayed

to the 3 phase motor .

The more energy needed , the larger the rotating mass of the single
phase

motor .


motors and transformers can be modeled as a magnetizing inductance in
parallel

with a leakage induct'+resistive load .

At no load , all current flows thru magnetizing induct' .... bad
P.F. ,

so you pay more to the electric company .

But as the current flows to the load , which is series to the leakage
induct'

the P.F. improves to 85% ( cause the load is resistive , not induct'
as the L-induct is ).

The stored energy is in the Leakage induct' , and it is effecient .

But it needs a large heavy rotor to deliver that energy to a 2nd
motor .

It also needs a small air gap , to reduce the reluctance of the path
from

stators to the rotor .

we need to move above 400 hz , to get higher power , but that means
diameter

of motor also increases .