Transient Stability Assessment of a 9-Bus Power System with High Solar PV Penetration: An IEEE Benchmark Case Study

This study examines the impact of increasing photovoltaic (PV) penetration on the transient stability of the IEEE 9-bus power system. Synchronous machines are modeled with standard subtransient dynamics, while PV units are represented as current-limited grid-following inverters. Transient stability is assessed through the Critical Clearing Time (CCT) and the post-fault dynamic behavior, obtained from time-domain simulations carried out in MATLAB/Simulink®. A permanent three-phase fault on line 7–5 is considered as the limiting contingency. The results show an increase in CCT as PV generation progressively replaces the active power supplied by synchronous machines, whose inertia is therefore maintained: from 210 ms (0% PV) to 440 ms (25%) / 1080 ms (40%) at bus 5, 410 ms (25%) / 1130 ms (40%) and 290 ms (25%) / 650 ms (40%) at buses 6 and 8, respectively, demonstrating that the injection site is a key factor for system stability. For distributed injection among the three buses, CCT values of 340 ms (25%) and 1020 ms (40%) highlight the significant influence of PV placement at bus 8. Although an overall increase in CCT was observed, higher PV penetration also led to more pronounced oscillations and operability issues after the fault. These results underscore the need for stability-oriented control strategies, such as grid-forming operation, fast active power support, and dynamic voltage control. They also suggest that planning practices should favor interconnections electrically closer to the slack generator. Overall, a high PV penetration level—modifying only the operating point of synchronous machines—allows longer fault durations to be tolerated; however, appropriate siting of PV units and the adoption of advanced inverter controls could mitigate the observed oscillations and post-fault operability challenges.