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This paper proposes a novel high-temperature superconductor (HTS) brushless doubly-fed doubly-salient (BDFDS) machine, which can effectively improve the performance of this kind of BDFDS machines. In addition, a new criterion of winding arrangement with the outer-rotor topology is adopted for the proposed machine design, which can further benefit the machine characteristics. Moreover, two natural operation modes for the proposed machine are discussed. The corresponding calculation results are given to prove the validity of the proposed machine.