A method in a wireless device of a radio communications network, for controlling output transmission power from the wireless device, the method comprising: selecting one set among a plurality of sets that each contain a plurality of power step values, residing in a memory of the wireless device, responsive to criteria defined in the wireless device, wherein at least some of the power step values are different between the sets; receiving a power control command; selecting one of the power step values of the selected one of the sets responsive to the power control command; and controlling the output transmission power from the wireless device responsive to the selected power step value, characterized in that the power control command is received in a downlink from a first radio network node of a heterogeneous network that also includes a second radio network node, the first radio network node providing a different communication service cell size than the second radio network node; and selecting one set among the plurality of sets containing the plurality of power step values comprises: selecting a first one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the first radio network node; and selecting a second one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the second radio network node. selecting one set among a plurality of sets that each contain a plurality of power step values, residing in a memory of the wireless device, responsive to criteria defined in the wireless device, wherein at least some of the power step values are different between the sets; receiving a power control command; selecting one of the power step values of the selected one of the sets responsive to the power control command; and controlling the output transmission power from the wireless device responsive to the selected power step value, characterized in that the power control command is received in a downlink from a first radio network node of a heterogeneous network that also includes a second radio network node, the first radio network node providing a different communication service cell size than the second radio network node; and selecting one set among the plurality of sets containing the plurality of power step values comprises: selecting a first one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the first radio network node; and selecting a second one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the second radio network node. selecting a first one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the first radio network node; and selecting a second one of the sets responsive to the criteria indicating that the wireless device is receiving signals from the first radio network node while transmitting to the second radio network node.