A method performed by a network node for determining the transmit power to be used for transmissions on physical channels, wherein the method comprises the steps of: - obtaining values for the geometry factors G of a set of User Equipments, UEs; - creating, based on the obtained geometry factors and representations of the statistical moments of the geometry factors, a statistical measure G* for said set of UEs; - determining a value representing the transmission power for physical channel transmissions based on a power control expression for physical channel transmissions comprising the statistical measure G* multiplied with a scaling parameter β, said scaling parameter enabling the weight given to the normalized geometry value G* in the power control expression for physical channel transmissions to be altered; wherein the transmission power is determined for transmissions on a Physical Uplink Shared Channel, PUSCH, and said transmission power for PUSCH is obtained from the following expression for the power control: P PUSCH = min P max, 10 lo g 10 M + P 0 + α j · PL + δ MCS + f + βG *, where, min refers to the smallest of P max or (10log 10 + P 0 + α(j) • PL + δ MCS + f + βG *), and where: P max represent the maximum transmission power that a network node can use; and where 10log10 provides a representation of the bandwidth of the PUSCH resource assignment expressed in number of resource blocks; and where P 0 provides a representation of the desired or nominal value for P PUSCH; and where α(j) provides a representation of the fractional power control parameter; and where PL provides a representation of the downlink path loss as estimated by the network node; and where δ MCS represents the delta MCS value; and where f is defined by a time dependent recursive form f ( t) = f ( t - 1) + δ PUSCH ( t - K PUSCH), where δ PUSCH denotes a TPC command to implement closed loop power control, and K PUSCH is the processing delay; and where βG * is the statistical measure multiplied by the scaling parameter β.. - obtaining values for the geometry factors G of a set of User Equipments, UEs; - creating, based on the obtained geometry factors and representations of the statistical moments of the geometry factors, a statistical measure G* for said set of UEs; - determining a value representing the transmission power for physical channel transmissions based on a power control expression for physical channel transmissions comprising the statistical measure G* multiplied with a scaling parameter β, said scaling parameter enabling the weight given to the normalized geometry value G* in the power control expression for physical channel transmissions to be altered; P max represent the maximum transmission power that a network node can use; and where 10log10 provides a representation of the bandwidth of the PUSCH resource assignment expressed in number of resource blocks; and where P 0 provides a representation of the desired or nominal value for P PUSCH; and where α(j) provides a representation of the fractional power control parameter; and where PL provides a representation of the downlink path loss as estimated by the network node; and where δ MCS represents the delta MCS value; and where f is defined by a time dependent recursive form f ( t) = f ( t - 1) + δ PUSCH ( t - K PUSCH), where δ PUSCH denotes a TPC command to implement closed loop power control, and K PUSCH is the processing delay; and where βG * is the statistical measure multiplied by the scaling parameter β..