Modelling of Wind Turbine Power Curves (WTPCs) Based on the Sum of the Sine Functions and Improved version of Particle Swarm Optimization (IPSO)

Wind turbine power curves (WTPCs) represent the relationship between wind speed variations at the hub height and the output power of wind turbines. The WTPCs' models can be used by utility system operators and independent power producers (IPPs) for wind energy monitoring, assessment, planning, and forecast. As a result of considerable growth in the wind energy industry, wind turbines are installed in different geographical locations and climatic conditions such as on-shore, o □ -shore and complex terrains. This leads to a significant deviation of WTPCs from the manufacturer models, which are obtained based on an ideal situation. Therefore, accurate modeling of WTPCs can play a crucial role in improving the performance of wind energy-based systems. This study presents a detailed analysis for modeling of WTPCs based on four Enercon wind turbines; E-53 (800 kW), E-70 (2300 kW), E-82-E3 (3000 kW) and E-126 (7500 kW). Firstly, the proposed method of the study, which is based on the sum of the sine functions, is compared to a number of previously developed mathematical models by means of the goodness of fit analysis. In the second step, the accuracy of the proposed models has been enhanced by the utilization of an improved version of particle swarm optimization (IPSO) through the optimization of the model's coefficients. To verify the practicality of IPSO adaptation by the proposed models, the obtained results of the second step have been compared with several optimization methods.