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Updated: Jan 17, 2026

A Rapid Method for Modeling a Variable Cycle Engine
Published on: August 13, 2019
Large wind turbines control using stable economic model predictive pitch technique with state constraints.
Mohamed Abdelkarim Abdelbaky1, Xiangjie Liu2, Guibin Wang3
1College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China; College of Computer Science and Software Engineering, Shenzhen University, Shenzhen 518060, China; Electrical Power Engineering Department, Faculty of Engineering, Cairo University, Giza 12411, Egypt.
A new economic model predictive control (EMPC) enhances wind turbine performance during over-rated speeds. This stable pitch control strategy optimizes power generation and ensures system stability for variable speed/pitch wind turbines (VSPWTs).
Area of Science:
- Renewable Energy Systems
- Control Engineering
- Mechanical Engineering
Background:
- Wind turbine pitch controllers face challenges with over-rated speeds, including nonlinearity, stability, and economic operation.
- Existing controllers struggle to balance power regulation with economic efficiency under variable conditions.
Purpose of the Study:
- To develop and validate a novel pitch control strategy for variable speed/pitch wind turbines (VSPWTs) operating at over-rated wind speeds.
- To enhance economic performance and ensure closed-loop stability despite persistent disturbances.
Main Methods:
- Implementation of a stable economic model predictive control (EMPC) technique.
- Integration of dynamic economic and tracking optimization into a single online framework.
- Design of an optimal linear feedback controller using constrained linear matrix inequalities (LMIs) for stability.
Main Results:
- The proposed EMPC pitch controller demonstrated superior performance compared to standard and advanced controllers.
- Validation using a nonlinear VSPWT model and a 5-MW VSPWT simulator confirmed effectiveness.
- The controller successfully regulated generator speed to harvest rated power under over-rated wind conditions.
Conclusions:
- The developed EMPC-based pitch control strategy offers a robust and economically superior solution for VSPWTs.
- This approach effectively addresses pitch angle and state constraints while ensuring system stability and economic operation.
- The findings highlight the potential of EMPC for optimizing wind energy capture and turbine performance.
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