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Optimization of Cooperative Wind Energy Utilization

Firouzbahrami, Majid | 2022

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 55675 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Nobakhti, Amin
  7. Abstract:
  8. Optimization-based wind farms control focusing on fatigue loads minimization represents a promising approach to establish a balanced tradeoff between power production in wind farms and lifetime extension of the wind turbines. This dissertation aims to develop a novel strategy to determine individual wind turbine power set-points in such a way that fatigue loads imposed on the units are minimized. The research considers main oscillation modes of the turbine structure and the determining forces to evaluate the amount of fatigues.Based on detailed modelling of wind farms which includes influences of wake effects on the mean wind speed and turbulence intensity, a novel approach is used to develop local auxiliary fatigue cost functions for each wind turbines. In contrast to the traditional approaches, this approach results in decoupled local cost functions which highly facilitates investigation of the problem. Under mild assumptions, using such a method along with linearizing the global power demand equality constraint yields a convex optimization in the vicinity of the system operating point.To solve the resulting convex problem, novel fixed-time distributed algorithms are presented based on Lyapunov techniques and convex analysis. The algorithms benefit from robustness against disturbances on decision variable evaluations, and work well over time-varying and switching network topologies. The algorithms are capable of solving the distributed convex optimizations in which the local costs are coupled through their decision parameters. To the best of our knowledge, this is the first time such a problem is solved in fixed time.To validate the results, two illustrative examples with different scales are studied. The simulations clearly demonstrate effectiveness of the developed approach in minimizing wind farm fatigue via power set-points redistribution among the wind turbines in a farm.
  9. Keywords:
  10. Decentralized Control ; Wind Farms ; Wind Turbine ; Wind Energy ; Fixed-Time Cooperative Optimization ; Power Setpoint Optimization ; Wear Reduction ; Distributed Control

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