Synchronous generator induced EMF
There is a quick but (rather) exact calculation of the emf in this page. You just have to know the number of conductors in series and the flux \$ \phi \$ per pole.
To have an idea of \$ \phi \$:
$$ \phi \approx k \frac{S \times B_m}{P} $$
where:


S is the surface of the rotor
\$ B_m \$ is the maximum of the magnetic field. Let say 1.2T (saturation of standard magnetic materials)
P: number of poles
k: depends on the shape of B. Let's say \$ 0.5 &lt; k &lt; 1 \$


You can see easily that the emf is proportional to the frequency, hence to the rotor speed.

The most simple equivalent circuit is given here. You have the emf and an inductance that represents the effect of the statoric current on the external voltage of the generator.

Note however that the full calculation of all the parameters of a rotating machine is not that easy. Some people spent the time of a PhD on this subject. If all you want is a decent set of parameters that could represent a real-world machine, you could try to find the parameters in manufacturers' data (for example: this one).

On a final note: you asked for videos. I love the videos from LearnEngineering (but they deal more with principles than calculations). There is one on synchronous motors.