The application of new energy sources has a significant impact on the stability of power systems. In order to realize the coordinated design of multiple Flexible AC Transmission Systems (FACTS) devices in the wind-PV-thermal-bundled (WPTB) power transmission system to suppress the low-frequency oscillation (LFO) of the system. In this paper, the Static Synchronous Compensator (STATCOM) and the Static Synchronous Series Compensator (SSSC) with additional power oscillation damping controller (PODC) are designed based on the tie-line transmission power signal to enhance the improvement effect of FACTS devices on system stability. The objective function is constructed by considering the transient voltage stability of the WPTB power transmission system, the real part of the eigenvalues and damping level of the LFO modes. And the coordinated and optimized design of Power System Stabilizer (PSS), SSSC-POD and STATCOM-POD is performed by the hybrid particle swarm optimization algorithm and genetic algorithm (PSO-GA) and pattern analysis theory of LFO. Finally, the effectiveness of the designed parameter optimization method is verified by simulation under various operating conditions, including new energy unit output change and tie-line transmission power change.