A wireless power system may include wireless power transmitting devices, wireless power receiving devices, and wireless power transmitting and receiving devices. The devices in the wireless power system may exchange packets in order to transfer various types of data. The data may be transmitted using in-band communication (e.g., amplitude-shift keying modulation or frequency-shift keying modulation). The devices may use locally assigned addresses to communicate with any other device in the wireless power system. Even if a first device is not inductively coupled to a second device, the locally assigned addresses may identify an inductive coupling path from the first device to the second device that includes at least one intervening device. The first device may therefore communicate with the second device using in-band communication packets that are relayed by at least one intervening device.