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An adaptive Hammerstein model with an orthogonal escalator structure as well as a lattice structure for joint process is developed for short-term load forecasting from one hour to several hours in the future. The method uses a Hammerstein nonlinear time-varying functional relationship between load and temperature. Parameters in both linear and nonlinear parts of the predictor are updated systematically using a scalar orthogonalization procedure. Matrix operations are avoided, thereby allowing better model-tracking ability, numerical properties, and performance. Prediction results using actual load-temperature data demonstrate that this algorithm performs better than the commonly used matrix-oriented recursive least-squares algorithm for one-hour-ahead forecasts.>
Lu et al. (Sun,) studied this question.
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