Construction of an integral model by the example of wind turbine dynamics

This study addresses the application of Volterra integral-power series to describe the nonlinear dynamic "input–output" systems. The universality of this mathematical tool makes it possible to create a software for computer experiments. This study is a continuation of the research on the identification of the Volterra kernels, which was started at the Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences. The first part of the paper presents a new algorithm for the identification of the second-degree Volterra polynomials for the systems which can be used for an experiment based on the test sets of disturbances. In the second part the numerical calculation results for a "reference" dynamic system are given. The reference system is represented by a model of a horizontal-axis wind turbine. Quadratic Volterra polynomials are constructed. They describe the nonlinear dynamics of the angular velocity of the wind turbine components, depending on a blade lean angle and wind speed. The Volterra kernels were practically identified with respect to some chosen stationary state of the simulated system.