Power connector modules are provided that can be plug connectors, receptacle connectors, or a system of plug and receptacle connector modules and optionally other modules, that mate together. Each connector has an uncoupled contact feature. The uncoupled contacts have exposed surfaces to dissipate heat resulting from Joule effects. The uncoupled contacts for the plug connector converge to form a blade structure at one side. The uncoupled contacts for the receptacle connector form a receiving section that engages the blade structure of the plug connector when the plug connector and receptacle connector are used together.