Reduction of thermal models
Abstract
Reduction techniques for nodal models of the linear thermal systems are reviewed, and applications to problems involving finite wall structures are illustrated. Several modal techniques involving the introduction of matrices into the equation of state are examined, and the method of Eitelberg (1980), in which the weighted equation error between the complete and reduced models is optimized by solving a Liapunov equation, is described in detail. The latter approach is used to obtain reduced versions of a 10node model of a building wall subjected to steady, singlepulse, or periodic heating. In one case the model is successfully reduced to a single node corresponding to its internal surface.
 Publication:

Control and Computers
 Pub Date:
 1984
 Bibcode:
 1984CoCom..12...55S
 Keywords:

 Heat Transfer;
 Linear Systems;
 Mathematical Models;
 Thermal Analysis;
 Liapunov Functions;
 Matrices (Mathematics);
 Optimization;
 Wall Temperature;
 Fluid Mechanics and Heat Transfer