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In this paper we develop a method based on the critical state for calculatingthe current and field distributions and the AC losses in a cable made of curvedthin superconducting tapes. The method also includes the possibility ofconsidering spatial variation of the critical current density, which may be theresult of the manufacturing process. For example, rare-earth based coatedconductors are known to have a decrease of the transport properties in near theedges of the tape: this influences the way current and field penetrate in thesample and, consequently, the AC losses. We demonstrate that curved tapesarranged on a cylindrical former behave as an infinite horizontal stack ofstraight tapes, and we compare the AC losses in a variety of workingconditions, both without and with the lateral dependence of the criticalcurrent density. This model and subsequent similar approaches can be ofinterest for various applications of coated conductors, including power cablesand conductor-on-round-core (CORC) cables.

Critical state solution of a cable made of curved thin superconducting tapes