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[rakarskiy]

Yes it has to, current always makes flux that works against the primary flux, but is the back torque felt by the moving magnets? 
I don't pay attention to all posts so you'll repeat yourself. But now i'm interested.

  In the FEMM program, everything is elementarily checked


The section of the magnet is 10x10mm. No52

The conductor does not cross the magnetic lines, the magnitude of the magnetic intensity around the conductor is negligible, from the magnetic flux in a circle, when the magnetic poles of the approaching magnets close.
There is one point in physics that can explain this.
Find the name of the closed magnetic flux in Ed's guardian.

[alan]

So we're all in agreement now     
Interesting graphs. 


V=-N*dΦ/dt 
V = BLv 

The first one isn't really correct physically, but correct system-wise and design-wise.  Φ implies a fixed length of the wire, Φ=B*A, and assumes A vector potential induction because it allows for zero flux-cutting. 
V = BLv = BLdx/dt = d/dt(BLx) = xLdB/dt + BxdL/dt + BLdx/dt ; xLdB/dt = AdB/dt = dΦ/dt ; BxdL/dt & Bldx/dt = Bxv, BLv. 
Lorentz force  law requires no closed circuit, Area determines length of the charge carrier for qVxB, Area is a design tool for transformers and inductors.

[nix85]

In Hooper-Monstein magnets never come as close as raka shows in his 'simulation'.
They approach to a distance little over two times the diameter of one magnet.

IF experiment was done differently so that moment he shows where all flux has already
merged and wire sees no flux was the starting point. And if moving the magnets closer
in such configuration induced large voltage or any voltage for that matter then that
would show induction that "should not" happen. But Hooper-Monstein is NOT such
configuration and such will not induce any voltage.

At that point in the central area between them side flux is denser than it was at a distance.
All those 0.37T before they merged as he shows had to clash in the wire. Where
else would they clash, wire is always their point of first contact.

Conductor DOES cross the magnetic lines as clearly shown in the gif i made.
And also as clearly shown and as i explained all fluxlines that merge pass
through the coil. It's a COIL, not a straight piece of wire. So what he shows
in the 'simulation', all those 0.37T are passing through the coil and of course
that large increase of flux induces voltage just like wire cutting does.

https://pasteboard.co/G39LG6W16pJU.gif

[rakarskiy]

V=-N*dΦ/dt 

For a wire in a groove, the EMF transformer formula is used:

E = 4.44Φf, where coefficient 4.44 = 2π/√2

Where do you see the minus sign in this formula, as well as  Е = BLv

[nix85]

There is no A field in these formulas, altho A field is obviously always present.

V=-N*dΦ/dt  is correct 'physically'. There is no length of the wire in that formula, but number of turns. It is the most basic Farady's law of induction.

As i said all induction formulas are saying the same thing in slightly different way

V=-N*dΦ/dt
V = BLv
E = 4.44 * number of turns * frequency * flux in the core

Greater the rate of change of flux greater the voltage.

That is what really matters.

And in the synchronous generator and any generator except homopolar both flux cutting and linking happens.