Title :
New model reduction technique for a class of parabolic partial differential equations (temperature distribution)
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given.<>
Keywords :
frequency response; heat conduction; partial differential equations; temperature distribution; transfer functions; ambient variables; distributed transfer functions; frequency response; heat conduction; lumping; model reduction; multilayer solid; parabolic partial differential equations; rational fraction expansion; surface variables; temperature distribution; Frequency response; Partial differential equations; Temperature; Transfer functions;
Conference_Titel :
Systems Engineering, 1991., IEEE International Conference on
Conference_Location :
Dayton, OH, USA
Print_ISBN :
0-7803-0173-0
DOI :
10.1109/ICSYSE.1991.161141
