Independent power-control procedures per beam-pair link (BPL). In one embodiment, such a power-control procedure comprises: 1) an open-loop part based on the estimated DL path loss for the active and back-up (or “non-active”) BPLs in the UE and 2) a closed-loop part where the UL power-control adjustment commands are transmitted from the network and accumulated in the UE independently per active BPL. The UL transmit power is determined from the power-control procedure associated with the active BPL scheduled for transmission.