Optimization of Exogenous and Endogenous Variables for a Three Column Wind Farm Using CMAES

Abstract

Uneven terrains in mountain regions, where wind mills are to be erected cause concerns on the matrix of location, variation in wind direction, wake effects and due to location which may take a toll on efficiency, frequent changes in wind velocity, limitation of the hub height are a fear of the exogenous variables that influence the operation of wind farm. An attempt is made in this work to analyze the effect of those parameters on the efficiency of wind farm. Energy efficiency and exergy efficiency for a three column wind farm are determined and compared. The mathematical model developed considers wake deficit loss, transmission losses and resource losses the loss due to change in the wind direction, overall efficiency factor and locational specifications. A new objective function is derived for the wind farm with multidirectional wind flow and it is solved by Covariant Matrix Adaptation Evolutionary Strategy algorithm. This algorithm is used to maximize the wind farm exergetic efficiency. Location specification is the main variable to optimize and the other dimensionless variables remain same. Exergy efficiency is improved when compared to the reference layouts. The results projected will help the wind farm promoters to optimally utilize the resources to get maximum output.