After reading this,
I would suggest looking into designing,
"pulse and high frequency transformers".
This is not a specific book but a general catagory.
Once you overcome the general losses (noise)
mag concepts (motor generator) should give you a fixed
phase shift, (according to someones concepts that should
be about 90 deg, (if I remember right, same ac field to both coils the generated field powers the second field, answer shift the static field)).
I do know, that mag current and other losses
will shift the apparent input current waveshape and time
of apparent "0" time, but true servo systems
are not dependent on "0" time, only "0" position.
Zero position control is normally done with an
external loop.
Without Knowing the specific fc, energy, purpose,
of this system, the real componets appear odd.
The US navy solved this problem about 1918, for 60hz,
the US air force about 1944 for 400hz.
A 18 deg error in a 40 mile ships gun could
put a round into a different country, much less town.
"some still use the same pointing system
just better targeting systems".
There are tens of sycro and resolvers in the market
that report to do less than 1 deg resolution "some approch .01"
So O K what am I missing.