Method and apparatus for mitigating SSR in power transmission system are provided. The method comprises: checking whether the sub-synchronous resonance (SSR) happens in the power transmission system; checking whether the sub-synchronous resonance is undamped; providing a command to bypass the SC unit when the SSR happens and is undamped. In some embodiments, the method further comprises providing a command to reinsert the SC unit into the power transmission system when the transmission level of the power transmission system is determined to be higher than a predetermined level and there is no fault in the power system. The invention also relates to a corresponding apparatus which can implement the method of the invention.