Subject to intermittent nature of renewable sources, small signal stability (SSS) is going to be a challenging task for power system operators. Also as per current deregulated market, stress is imposed on optimal usage of present resources like mechanical governors. In this work a new coordinated optimal damping control action of fractional static synchronous series compensator (SSSC) and governor is proposed to the critical condition of power system for SSS enhancement considering sudden and random variation in solar photovoltaic (SPV) and wind sources with different operating condition of hydro generations and change in reference voltage. Both SSSC and governor coordinate to damp system oscillations to improve stability. A new hybrid differential evolution (DE) with whale optimization algorithm (WOA) is proposed to tune the gains of SSSC and governor in proposed controller. A multi objective function incorporating speed and real power deviation has been taken for optimization problem. It has been observed that varying operating condition of hydro generator along with variations in SPV and wind sources instigate low frequency oscillation and proposed control action has better damping efficacy in comparison to only SSSC and governor. Also, the proposed multi-objective DE-WOA control law performs better than only DE and WOA algorithm.

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