Digital Controller Design via LMIs for Direct-Driven Surface Mounted PMSG-Based Wind Energy Conversion System.

Area of Science:

• Control Systems Engineering
• Renewable Energy Systems
• Electrical Engineering

Background:

• Surface-mounted permanent magnet synchronous generators (PMSGs) are crucial for wind energy conversion systems (WECS).
• Stabilization of WECS is essential for reliable power generation.
• Existing controllers often use either continuous or discrete signals, limiting performance.

Purpose of the Study:

• To design an efficient sampled-data controller for stabilizing PMSG-based WECS.
• To develop a controller integrating both continuous (plant) and discrete (control) signals.
• To analyze the dynamical characteristics and ensure the stability of the closed-loop system.

Main Methods:

• Modeling the nonlinear PMSG system using the Takagi-Sugeno (T-S) fuzzy approach.
• Applying Lyapunov stability theory to guarantee system stability.
• Deriving sufficient stability conditions using solvable linear matrix inequalities (LMIs).

Main Results:

• A novel sampled-data controller integrating continuous and discrete signals was designed.
• The T-S fuzzy model effectively represented the PMSG dynamics.
• LMIs provided sufficient conditions for stability and stabilization, validated by numerical evaluations.

Conclusions:

• The proposed sampled-data controller scheme effectively stabilizes PMSG-based WECS.
• The hybrid continuous-discrete signal approach offers superior performance.
• The Lyapunov stability theory and LMIs provide a robust framework for WECS stabilization.