Nonlinear Robust Excitation Controller Design for Synchronous Generators Using Improved Slime Mould Algorithm

This paper proposes a nonlinear robust H ∞ excitation controller based on an improved slime mould optimization algorithm (ISMA) to enhance the stability and anti-disturbance performance of synchronous generators (SGs) in power systems. First, a nonlinear dynamic model of the excitation system (ES) is established based on the electromechanical coupling mechanism of SGs, and it is transformed into an equivalent linear state-space form through feedback linearization. Subsequently, a controller design framework with linear matrix inequality (LMI) constraints satisfying H ∞ performance indicators is constructed, and ISMA is utilized to optimize the key design parameters, thereby balancing dynamic response and control robustness. Simulation results demonstrate that, compared with traditional excitation control strategies, the proposed method exhibits superior comprehensive performance in terms of transient response speed, steady-state regulation accuracy, and robust performance under parameter perturbations and disturbance conditions. The research results can provide a technical reference for achieving safe and stable operation of SGs in power grids.