Power System Stabilizer Linear Parameter Varying Modeling and Controller Synthesis Framework

This study investigates linear parameter varying power system stabilizer modeling and controller synthesis frameworks in single machine infinite bus power systems with synchronous generator rotor oscillations by focusing on the generator moment of inertia term. The uncertain power system stabilizer dynamics is analyzed for its fluctuating components and is formulated as a linear parameter varying model, with the measurable parameter being the generator rotor inertia term, representing the parametric and corresponding global system uncertainty. The corresponding linear parameter varying power system stabilizer plant model is utilized to synthesize respective controllers both to stabilize the actual power system stabilizer and to achieve superior transient and steady state responses for all system dynamics in the same convex hull of the generator inertia fluctuations. The controller synthesis framework used the corresponding linear fractional transformation representation to achieve the robust performance of the time-varying power system, i.e., a perfect tracking to a zero reference or a perfect disturbance rejection. The linear parameter varying power system stabilizer numerical model analysis and controller synthesis results clearly demonstrate the efficacy of the proposed framework for superior generator oscillation magnitude and duration results under dynamical parameter variations.