A switched-mode power supply in a set of parallel-connected switched-mode power supplies is operated to (1) monitor both output current and operating temperature, and (2) auto-tune an output voltage using two-dimensional control that employs a two-dimensional function of the output current and the operating temperature. The two-dimensional function is a sharing function whose use in each of the supplies effects a coordinated sharing of both load current and operating temperature across the set of supplies. Temperature sharing includes monitoring and controlling distribution of operating temperatures across the set of supplies to reduce undesirable temperature imbalance that can cause excessive thermal stress and reduce reliability.