Title :
Analytical multipoint moment matching reduction of distributed thermal networks
Author :
Codecasa, Lorenzo ; D´Amore, Dario ; Maffezzoni, Paolo ; Batty, William
Author_Institution :
Dipt. di Elettronica e Informazione, Politecnico di Milano, Milan, Italy
fDate :
3/1/2004 12:00:00 AM
Abstract :
In this paper, the multipoint moment matching method for model order reduction of discretized linear thermal networks is extended to distributed linear thermal networks. As a result, from the analytical canonical forms of distributed linear thermal networks, reduced thermal networks are derived analytically. This direct construction of the reduced network, from the exact analytical solutions, avoids the inevitable inaccuracies inherent in conventional surface and volume meshing. It allows nearly exact reduced thermal network construction by domain decomposition for arbitrarily complicated structures.
Keywords :
linear network analysis; lumped parameter networks; matrix algebra; reduced order systems; state-space methods; discretized linear thermal networks; distributed thermal networks; domain decomposition; model order reduction; multipoint moment matching reduction; reduced thermal networks; surface meshing; thermal network construction; volume meshing; Conducting materials; Finite difference methods; Finite element methods; Linear systems; Linearity; Microwave photonics; State-space methods; Temperature dependence; Thermal conductivity; Thermal decomposition;
Journal_Title :
Components and Packaging Technologies, IEEE Transactions on
DOI :
10.1109/TCAPT.2004.825763