An arrangement for cooling a power semiconductor module, the power semiconductor module having a substrate with a ceramic plate and may have a metallization thereon, the arrangement has a container for the intake of a coolant with a heat-conducting plate; the heat-conducting plate having two sides, one side joined to the metallization of the substrate and the other side being in contact with the coolant; wherein the heat-conducting plate is made of materials having a metal matrix composite (MMC) material with a filling content, which results in a thermal expansion of below that of copper.