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This paper proposes a control scheme to achieve a robust power system stabilization by superconducting magnetic energy storage (SMES). The control applied in this study is to linearise the power swing property by the active power control of SMES. The control is robust in the sense that the effect is not affected by the changes of the power system configuration, the operating condition, etc. As a result, the power system stability in the transient state as well as in the steady state is significantly improved. Some numerical studies demonstrate the distinguished effect of the SMES using the proposed control scheme on power system stabilization in comparison with SMES using the conventional feedback control of generator speed deviation.