Issues regarding mathematical modeling of wind aggregates

Abstract

There were conceived original methods that intend to optimize (maximize) the efficiency of variable speed fixed blade wind generators. These methods are based on mathematical models of fixed blades wind turbines windmills. This is the main reason that an important part of the paper is dedicated to the problematic of mathematical modeling of the wind turbine — focused mainly on the determination from experimental tunnels values of the required control values, by using different types of regression functions. From the values of the instantaneous generator's efficiency and the power supplied, by generator, while using the mathematical model of the turbine-generator group, the momentary value of the wind speed is determined. Also, by using the instantaneous value of the wind speed and the mathematical model of wind turbine's power, the optimum values of the operating rotation speed are computed for different wind speed values, in order to generate an off-line database table. The obtained optimum rotation speed values are further used in a look-up table for fast finding (through interpolation means) of the rotation speed, value that is prescribed to the rotation speed control loop. The main advantages of the proposed approach are the simplicity and robustness of the implementation.