title: Describing high-dimensional dynamics with low-dimensional piecewise affine models: applications to renewable energy.
abstract: 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 100 s 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.
authors: Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Tokyo 153-8505, Japan. yoshito@sat.t.u-tokyo.ac.jp
authors: Yoshito
authors: Y
authors: Hirata
authors: Kazuyuki
authors: K
authors: Aihara
mesh_terms: D016014:Linear Models; D017711:Nonlinear Dynamics; D059205:Renewable Energy; D014919:Wind