A method for enabling per-carrier power control on a network side of a cellular system, comprising: calculating (S110, S230) a desired cumulative output power value for an inter-band carrier combination of at least two uplink carriers of a terminal device, said two uplink carriers operating on different bands, the calculation being based on an intermodulation power equation for the intermodulation power of a specific order intermodulation distortion of the at least two uplink carriers; setting (S120, S240) an output power value for each of the at least two uplink carriers of the terminal device based on the calculated desired cumulative output power value, wherein the setting of the output power values is based on an output power-related prioritization of the at least two uplink carriers such that each uplink carrier is assigned an output power value in accordance with its prioritization level, wherein the prioritization level of an uplink carrier is based on at least one of: downlink performance on a downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, and an influence of the output power of said uplink carrier on said specific order intermodulation distortion on said downlink carrier, uplink capacity increase capability on said uplink carrier based on associated downlink performance deterioration on said downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, a relationship between a frequency range of the band of said uplink carrier and a frequency range of intermodulation power of said specific order intermodulation distortion of the at least two uplink carriers, a relationship between frequency ranges of the bands of the at least two uplink carriers, channel allocations on the at least two uplink carriers, and uplink data amount on said uplink carrier; and providing (S130, S250), for the terminal device, a power control instruction for the at least two uplink carriers at the terminal device in accordance with the output power values set for the at least two uplink carriers. calculating (S110, S230) a desired cumulative output power value for an inter-band carrier combination of at least two uplink carriers of a terminal device, said two uplink carriers operating on different bands, the calculation being based on an intermodulation power equation for the intermodulation power of a specific order intermodulation distortion of the at least two uplink carriers; setting (S120, S240) an output power value for each of the at least two uplink carriers of the terminal device based on the calculated desired cumulative output power value, wherein the setting of the output power values is based on an output power-related prioritization of the at least two uplink carriers such that each uplink carrier is assigned an output power value in accordance with its prioritization level, wherein the prioritization level of an uplink carrier is based on at least one of: downlink performance on a downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, and an influence of the output power of said uplink carrier on said specific order intermodulation distortion on said downlink carrier, uplink capacity increase capability on said uplink carrier based on associated downlink performance deterioration on said downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, a relationship between a frequency range of the band of said uplink carrier and a frequency range of intermodulation power of said specific order intermodulation distortion of the at least two uplink carriers, a relationship between frequency ranges of the bands of the at least two uplink carriers, channel allocations on the at least two uplink carriers, and uplink data amount on said uplink carrier; and providing (S130, S250), for the terminal device, a power control instruction for the at least two uplink carriers at the terminal device in accordance with the output power values set for the at least two uplink carriers. downlink performance on a downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, and an influence of the output power of said uplink carrier on said specific order intermodulation distortion on said downlink carrier, uplink capacity increase capability on said uplink carrier based on associated downlink performance deterioration on said downlink carrier, on which said specific order intermodulation distortion is caused by the output power of said uplink carrier, a relationship between a frequency range of the band of said uplink carrier and a frequency range of intermodulation power of said specific order intermodulation distortion of the at least two uplink carriers, a relationship between frequency ranges of the bands of the at least two uplink carriers, channel allocations on the at least two uplink carriers, and uplink data amount on said uplink carrier; and providing (S130, S250), for the terminal device, a power control instruction for the at least two uplink carriers at the terminal device in accordance with the output power values set for the at least two uplink carriers.