Power semiconductor device with bonding connection between bonding wire and semiconductor chip

A bonding connection between a bonding wire and a power semiconductor chip is disclosed. The power semiconductor chip has a semiconductor body arranged in which is an active cell region with a multiplicity of cells arranged one following the other in a lateral direction and connected electrically in parallel. The semiconductor body has a surface portion arranged above the active cell region in a vertical direction perpendicular to the lateral direction. Applied to the surface portion is a metallization layer onto which a bonding wire is bonded. The bonding wire comprises an alloy containing at least 99% by weight aluminum and at least one further alloying constituent. The aluminum has a grain structure with a mean grain size which is less than 2 mum.