Accordingly, the present disclosure describes an apparatus and a method thereof for measuring a substantial amount of power capable of causing the heating of the external metal material 300 from wireless power transmitted from the wireless power transmitter 100. Furthermore, the present disclosure also describes an apparatus and a method thereof for measuring a substantial amount of power capable of causing the heating of the external metal material 300 only on the wireless power transmitter 100 in a circumstance with no effect of the wireless power receiver 200 to solve a compatibility problem. For example, the present disclosure determines the existence or non-existence of an external metal material capable of causing heating based on an amount of attenuation of resonant energy of the wireless power transmitter 100 when the operation of the transmitting coil 1111 is suspended in the wireless power transmission system 100, 200 using the linkage flux. Furthermore, it is set to a condition that the energy of the wireless power receiver 200 is not consumed to remove the effect of the wireless power receiver 200.