Induction heating apparatus and methods are disclosed for selective workpiece heating such as strip heating, in which DC windings around one or more laminations proximate to a workpiece edge are selectively energized using DC electrical power for controlled partial or full saturation of the one laminations to control edge overheating in a transverse flux induction heating system, in which certain implementations further employ a copper shield between the induction heating coil and the strip workpiece proximate the edge of the workpiece to control the edge heating effect.