A solenoid arrangement includes a plunger configured to move in an axial direction and a coil wound radially outward from the plunger. The coil includes a first winding layer and at least one additional winding layer positioned radially outward from the first winding layer. The first winding layer includes a first portion wound in a first winding direction and a second portion wound in a second winding direction that is opposite the first winding direction. The at least one additional winding layer is wound in the second winding direction radially outward from both the first portion and the second portion of the first winding layer.