Abo Bibliothek: Guest

ISSN Online: 2377-424X

ISBN CD: 1-56700-226-9

ISBN Online: 1-56700-225-0

International Heat Transfer Conference 13
August, 13-18, 2006, Sydney, Australia

THE MODAL IDENTIFICATION METHOD IN NONLINEAR HEAT TRANSFER PROBLEMS

Get access (open in a dialog) DOI: 10.1615/IHTC13.p9.60
12 pages

Abstrakt

The Modal Identification Method (MIM) has been developed to identify Reduced Models (RM) for linear and then for nonlinear systems, from numerical or experimental data. The MIM consists in defining a modal structure for the RM equations. Then, all the RM parameters are identified through an optimization problem [2,1,8]. This approach is particularly interesting when compared to classical truncation methods such POD-Galerkin or Litz methods [7,5]. The obtained RMs can be used for solving inverse problems or for control purposes as they are stable and less time consuming than the related Detailed Models. Furthermore, the RM state formulation is well suited for automatics. Several applications are presented in the paper: i) an example of direct modeling of a conductive system with a thermo-dependency of the conductivity coefficient, ii) an example of direct modeling of a natural convective system, and iii) an optimal control resolution on a nonlinear conductive problem. All treated examples show that these RMs are well suited to simulate and control such nonlinear systems with accuracy.