| CPC E21B 47/13 (2020.05) [E21B 17/0283 (2020.05); E21B 41/0085 (2013.01)] | 18 Claims |

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10. A method comprising:
extending a tubing encased conductor (TEC) extending from a surface into a wellbore the TEC conveying a variable alternating current simultaneously with a direct current;
inductively coupling a harvesting transformer to the TEC, the harvesting transformer comprising:
a ferromagnetic harvesting ring that surrounds the TEC and is positioned in a magnetic field of the variable alternating current such that a magnetic flux associated with the magnetic field is concentrated in the harvesting ring; and
a harvesting coil comprising a coil of wire around a portion of the harvesting ring, the harvesting coil conveying an electric current induced in the harvesting coil by the magnetic field in the harvesting ring;
inductively coupling a transmitting transformer to the TEC, the transmitting transformer comprising:
a ferromagnetic transmitting ring that surrounds the TEC and is positioned in a magnetic field of the variable alternating current such that a magnetic flux associated with the magnetic field is concentrated in the transmitting ring; and
a transmitting coil comprising a coil of wire around a portion of the transmitting ring, the transmitting coil conveying an electric current induced in the transmitting coil by the magnetic field in the transmitting ring;
providing a downhole wireless device coupled to the harvesting ring by the harvesting coil and thereby wirelessly coupled to the TEC by the harvesting transformer, the downhole wireless device comprising a transceiver that transmits, via the harvesting transformer, digital signals encoded in the variable alternating current in the TEC;
providing a downhole wired device hardwired to the TEC, the downhole wired device powered by the direct current, and serving as a data hub that transmits data between the downhole wireless device and the surface;
electrically connecting a voltage source to the transmitting coil;
electrically connecting an electrical energy storage device between the wireless device and the voltage source; and
wherein the induced current in the harvesting coil powers the wireless device and charges the electrical energy storage device.
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