Model order reduction methods applied to a welding model
Journal article, 2012

A finite element representation modelling transient heat conduction of gas tungsten arc welding of stainless steel is used to evaluate different methods for model order reduction. The focus is on establishing a linear low-order model of the dynamic relation between the welding current and the temperature measured by a radiation pyrometer. The objective of this low-order model is to design a model-based feedback controller and to investigate the consequences of applying feedback control of the process. Three different approaches for model reduction have been evaluated, namely the Krylov subspace method for moment matching, balanced truncation and parametric system identification. The study provides a knowledge base for the selection of model order reduction methods when dealing with large-scale systems like finite element models of transient heat conduction, and it recommends parametric system identification. It renders sufficient approximations for controller design, no linearization of the finite element model is required, and there is no limit on degrees of freedom of the finite element model.



balanced truncation

Finite element modelling


model order reduction



moment matching

proper orthogonal decomposition


Fredrik Sikström

Chalmers, Signals and Systems, Systems and control, Automation

A. K. Christiansson

University West

Bengt Lennartson

Chalmers, Signals and Systems, Systems and control, Automation

Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

0959-6518 (ISSN)

Vol. 226 I7 972-984

Areas of Advance


Subject Categories

Computer Systems



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