Volterra polynomials in the intelligent control system of wind power plant operation

Abstract

The paper is focused on the possibility of integrating situation control and simulation modeling based on the Volterra integro-power series when describing transient processes in a nonlinear dynamic object of input-output type. A reference object was represented by a model of horizontal-axis wind turbine. The research deals with nonlinear dynamics of a rotation speed of wind turbine components depending on the blade angle and wind speed. A two-level technology is applied to prevent emergency situations. It consists of a quantitative analysis and a qualitative analysis. The first level is implemented using the situation analysis tools based on semantic modeling. At the second level the simulation modeling is performed. An algorithm for construction of a set of current situations in the semantic model is based on the Volterra polynomial integral equations. The Newton-Kantorovich method was applied to develop an iterative method to approximately solve respective nonlinear equations. The paper demonstrates the specific features of numerically solving the studied equations with a fixed length of mantissa in machine representation of a floating-point number.