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We propose a high-temperature superconducting fault-current-limiting cable (SFCLC), which is a high-temperature superconducting cable with a fault-current-limiting function. The SFCLC is expected to achieve fault-current limitation by flux-flow resistance of a long cable length. Particularly, in this paper, we focus on E-I-T characteristics of a YBCO-coated conductor at the flux-flow region. Based on the obtained E-I-T characteristics, we develop a numerical model and investigate current-limiting characteristics of the SFCLC for different cable lengths and fault conditions into a model power system.