An innovative hybrid magnet configuration is being developed at the NHMFL, consisting of a Florida‐Bitter resistive magnet nested within a superconducting outer magnet constructed with a cable‐in‐conduit conductor (CICC). The resistive and superconducting magnets, connected in series, will be capable of producing a minimum of 21 T and 14 T respectively for a total central field of 35 T. The CICC uses a cable of multi‐filamentary Nb3Sn/Cu strands inside a superalloy jacket that confines flowing supercritical helium in direct contact with the cable strands and the jacket. The design of the superconducting cable is underway. In particular, the simulations of its thermal performance during various magnet charging and discharging scenarios have been performed. The temperature distribution of the strands and temperature and current margins as influenced by the AC losses and index heating are computed. The formulation of the governing equations and numerical results are presented.

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