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Describing high-dimensional dynamics with low-dimensional piecewise affine models: Applications to renewable energy. (English) Zbl 1331.37132

Summary: We introduce a low-dimensional description for a high-dimensional system, which is a piecewise affine model whose state space is divided by permutations. We show that the proposed model tends to predict wind speeds and photovoltaic outputs for the time scales from seconds to 100s better than by global affine models. In addition, computations using the piecewise affine model are much faster than those of usual nonlinear models such as radial basis function models.{
©2012 American Institute of Physics}

MSC:

37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
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