Ackermann’s Formula in Global Fuzzy Synergetic Power System Stabilizer

Small-signal stability remains a crucial research area in power engineering. Oscillations arise in synchronous machines when small disturbances create an imbalance between mechanical and electrical torques. If adequate damping is not provided, these oscillations degrade the quality, continuity, and stability of power system operation. Conventional power systems commonly employ Power System Stabilizers (PSSs) to mitigate such oscillations. This work proposes a novel global fuzzy synergetic power system stabilizer based on Ackermann’s formula. The design procedure consists of three main steps. First, a synergetic control approach is applied to develop operating-point-specific models for individual power subsystems. Second, Ackermann’s formula is used to compute the macro-variable gain for each subsystem within the synergetic framework. Third, a fuzzy technique is employed to integrate all subsystem models and their corresponding macro-variable gains into a global model for the synchronous machine power system. System stability is guaranteed using Lyapunov’s second theorem. The effectiveness of the proposed method is evaluated through simulation studies under severe operating conditions of a single-machine power system model. Results demonstrate that the global fuzzy synergetic stabilizer provides superior damping performance compared to both the conventional PSS and the synergetic control approach.