Systems and methods are disclosed herein for uplink power control in a cellular communications network that are particularly well-suited for flying wireless devices (e.g., aerial User Equipments (UEs)). In some embodiments, a method performed by a wireless device for uplink power control comprises receiving, from a base station, reference altitude information comprising one or more height thresholds and detecting that a height of the wireless device is above a height threshold. The method further comprises triggering and sending a measurement report to the base station upon detecting that the height of the wireless device is above the height threshold, and receiving, from the base station, an indication to use a particular one of two or more fractional pathloss compensation factors for uplink power control. The two or more fractional pathloss compensation factors for uplink power control comprise one or more wireless device specific fractional pathloss compensation factors.