Decentralized Sampled-Data Control for Stochastic Disturbance in Interconnected Power Systems With PMSG-Based Wind...

Area of Science:

• Electrical Engineering
• Control Systems
• Renewable Energy Integration

Background:

• Interconnected power systems (IPSs) face challenges in maintaining stable frequency response due to the integration of renewable energy sources like permanent magnet synchronous generator (PMSG)-based wind turbines (WTs).
• External and stochastic disturbances can significantly degrade the performance of these systems.
• Existing models often do not fully capture the stochastic nature of disturbances affecting WTs.

Purpose of the Study:

• To investigate and improve the frequency response stability of IPSs with PMSG-based WTs under various disturbances.
• To develop a decentralized control scheme that enhances system resilience.
• To model the system incorporating stochastic disturbances for a more realistic analysis.

Main Methods:

• Derivation of a state-space model for IPSs with PMSG-based WTs.
• Development of a stochastic state-space model to include external and stochastic disturbances.
• Design of a decentralized sampled-data load frequency control strategy.
• Application of Lyapunov stability theory and Itô's formula to derive sufficient stability conditions.

Main Results:

• Stochastic sufficient conditions were derived to guarantee asymptotic stability in the mean square with H∞ performance.
• The proposed decentralized control scheme effectively regulates frequency response against both deterministic and stochastic noises.
• Simulations on a three-area IPS demonstrated superior stability performance compared to existing methods.

Conclusions:

• The developed decentralized control strategy significantly enhances the frequency response stability of interconnected power systems with PMSG-based WTs.
• The stochastic modeling approach provides a more accurate representation of system dynamics under disturbances.
• The findings confirm the effectiveness of the proposed methods for reliable grid operation with high wind power penetration.