APU selective cool down cycle

An APU (22) has a control (38) for controlling a load on the APU (22) from an associated aircraft. The control (38) further receives information with regard to a temperature challenge around the APU (22). If the temperature challenge exceeds a predetermined threshold, then the control (38) operates the APU (22) with a reduced load in a cool down cycle to reduce the heat load from the APU (22) on an associated tail cone (20). A method of selectively cooling an APU (22) is also disclosed.