15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
PREDICTION OF WIND POWER USING TIME-VARYING COEFFICIENT-FUNCTIONS
T.S. Nielsen* H. Aa. Nielsen* H. Madsen*
* Informatics and Mathematical Modelling,
The Technical University of Denmark,
DK-2800 Lyngby, Denmark

A method for adaptive and recursive estimation in a class of non-linear autoregressive models with external input is proposed. The model class considered is conditionally parametric ARX-models (CPARX-models), which is conventional ARX-models in which the parameters are replaced by smooth, but otherwise unknown, functions of a low-dimensional input process. These coefficient-functions are estimated adaptively and recursively without specifying a global parametric form, i.e. the method allows for on-line tracking of the coefficient-functions. The usefulness of the method is illustrated using prediction of power production from a wind farm as an example. A CPARX model for predicting the power production is suggested and evaluated for five wind farms in Denmark as well as one wind farm in Spain.
Keywords: Adaptive algorithms; Recursive algorithms; Estimation algorithms, Nonlinear models; Time-varying systems; Nonparametric regression; Forecasts; Windmills
Session slot T-Tu-A02: Time-Varying System Estimation and Tracking/Area code 3a : Modelling, Identification and Signal Processing