As you know some magnetic flux points to the side of the moving coil and interacts with the toroid field but there's no magnetic "drag" from this (you can analyze the vectors) .. so this is a lenzless generator.. but its not overunity meaning it needs input to generate energy.. the moving coils' fields can pass inside the toroid.. the toroid field can't pass outside , the vectors look like they would push more current in the toroid...but I'm not sure
now regarding my drawing F= v x B for moving charges I guess you know that, now take the moving charge of the wire conductor to be the observer v<<c .. you can arrive to the F=B x v of william hooper .. the force is towards the wire conductor.. the spiralling coil means that the force that moves the charges towards the center also creates a magnetic field of its own that can interact with the charge inside the conductor, the current should be pulsed dc..ofcourse I can be wrong.. but this is too similar with other stuff... to be completely wrong.
the black stuff is the wire and the orange the coil..