Your armature will need a coil of wire or something similar for the current to flow through.Perhaps you are considering joining the rotor magnets together so that they serve as the coil and if so this seems,at first sight, to be quite a novel idea(well I have never heard of it and I am still trying to picture this in my head)The picture I see at the moment is that both stator and armature are ringed with magnets such that alternate poles face inwards across the gap and if this is the case I cannot see you achieving any more than you would get by using a more conventional armature which itself becomes magnetised when the current flows.
The variables are B, A, N, and t.
To generate a large emf;
1.Make B as large as possible ie use as strong a magnetic field as you can make.
2.Use a large cross sectional area(A)for for your armature.
3.Use a large number of turns(N)
4.Move the armature(or stator) as quickly as possible so as to reduce the time (t)
Increasing one thing may comprimise something else so it will boil down to design.As for the force between magnets(I am assuming you mean permanent magnets ,well that is a very tricky one because it depends on the geometry of the set up as well as the strengths of the magnets themselves and I think the relevant factor here is B)The answer you get using Faradays law depends on the geometry of the design also but no matter what the design is to generate a large voltage BAN must be large and t must be small.I hope some of this helps.