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I have been reading about mag-amps which gave me an idea for a more efficient transformer.
So the core is in the shape of a square or rectangle with a center piece dividing it into two. The construction of the outer core is larger (less reluctance) than the middle leg (greater reluctance). The primary coil is wound on the center piece and the secondaries on the outer sides. The flux from the secondaries would tend to be confined to the outer periphery of the core with very little entering the center core (would it cancel?). In the same way that this method of construction eliminates the high voltage induced in the control winding of a mag-amp so to would it eliminate the back emf from the secondaries to the primary. So the primary would only have to supply the magnetizing current.
So the core is in the shape of a square or rectangle with a center piece dividing it into two. The construction of the outer core is larger (less reluctance) than the middle leg (greater reluctance). The primary coil is wound on the center piece and the secondaries on the outer sides. The flux from the secondaries would tend to be confined to the outer periphery of the core with very little entering the center core (would it cancel?). In the same way that this method of construction eliminates the high voltage induced in the control winding of a mag-amp so to would it eliminate the back emf from the secondaries to the primary. So the primary would only have to supply the magnetizing current.