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Two digraphs of same order are said to be skew-equienergetic if their skew energies are equal‎. ‎One of the open problems proposed by Li and Lian was to construct non-cospectral skew-equienergetic digraphs on n vertices‎. ‎Recently this problem was solved by Ramane et al‎. ‎In this paper‎, ‎we give some new methods to construct new skew-equienergetic digraphs.