APPLICATION OF THE INVERSE PROBLEM SOLUTIONS OF LINEAR AUTOREGRESSIVE PROCESSES FOR SIMULATION OF VIBRATION SIGNALS OF ROTOR PATS WIND POWER GENERATORS

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Peculiar properties of vibration signals simulation of wind generators rotation nodes are considered. The application of vibration diagnosis as one of the most perspective diagnostic method of wind generators is justified. Advisability of statistical method application for the wind generators vibration diagnostics is proved. Mentioned, that effective vibration expert system designing is composed from several stages. First – mathematical model of node vibration with consideration of operation features should be elaborated. Second – it is necessary to develop hardware and software. Third – it is necessary to develop methods of decisive rules for wind generator nodes diagnosis. Fourth – it is necessary to carry out experimental verification of developed vibration diagnostic methods. Solution of inverse problem for autoregressive processes for the first time to apply for the problem solution. Generative process characteristic function finding method for linear autoregressive processes second-order AR(2) is used for the problem solution. Properties of characteristic functions of stationary linear autoregressive processes (AR) are discussed. The characteristic function may be represented as in canonical Kolmogorof form and in linear random process with discrete time form. Properties of transformation kernel and kernel of linear random process for the processes are also considered. Examples of Gamma second-order autoregressive generating process characteristic function determination are represented. Poisson jump spectra's properties of characteristic function of the linear autoregressive processes are also used for the solution of the problem. An example of application of vibration signal simulation of wind power generator is considered. Application of the results for characteristic function vibration signals of wind generator for modeling of the signals is shown. Features of application of the approach for modeling of rolling bearing vibration of wind generator USW 56-100 in frame of basic shift in radial direction near bearing at the side of wheel hub are considered. Rotation speed of wind wheel hub was equal 72 rpm. The experimental research was shown that vibration signals of the node may be simulated of second-order autoregressive process with Gamma distribution of generating process. Characteristic function of generating process for the autoregressive process was calculated. The article consideres examples of kernel of wing generation vibration signals when determination of inverse problem takes place and kernel of wing generation vibration signals when solution of inverse problem is impossible.