A Competitive-Cooperative Game Method for Multi-Objective Optimization Design of a Horizontal Axis Wind Turbine Blade

This paper presents a multi-objective optimization model of a wind turbine blade based on blade's parameterized finite element model, where annual energy production and blade mass are the objective functions, and aerodynamic and structural parameters are the design variables. In this study, the maximum axial thrust, strain, displacement, and first-order natural frequency of blade are selected as constraints. A novel competitive-cooperative game method is proposed to obtain the optimal preference solution. In this method, a new exploration method of player's strategy space named `correlation analysis under fuzzy k-means clustering' is proposed, and the payoff functions are constructed according to competitive and cooperative behaviors. Two optimization schemes with preference objectives are obtained and all goals showed clear improvements over the initial solutions, and this method reveals the relationship between blade shape and desired performance. More deeply, dynamic sensitivities of various design variables to objective functions are obtained for different blade shapes.