Keywords

order reduction, model reduction, Nonlinear systems, Function approximation, distillation columns, dynamic models

Abstract

This report outlines a technique for the order reduction of differential algebraic equations (DAEs). The order reduction is accomplished in two steps. First, algebraic states are partitioned into successive implicit sets of variables and equations by reconstructing the sparsity pattern into lower triangular block form. Second, proper orthogonal decomposition (POD) is used to reduce the number of differential states. As a test case for the theory, a dynamic binary distillation column model is analyzed with the generalized approach. The index 1 DAE model of 52 differential and 178 algebraic states is reduced to an ODE model of 26 differential states.

Original Publication Citation

John D. Hedengren, Thomas F. Edgar, ORDER REDUCTION OF DAE MODELS, IFAC Proceedings Volumes, Volume 38, Issue 1, 2005, Pages 106-111, ISSN 1474-6670, ISBN 9783902661753, https://doi.org/10.3182/20050703-6-CZ-1902.01558.