2016
DOI: 10.1016/j.jqsrt.2015.10.002
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On the order reduction of the radiative heat transfer model for the simulation of plasma arcs in switchgear devices

Abstract: An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations, modeling the propagation of the radiated intensity in space, with a model of much lower dimension, whose parameters are identified by means of nonlinear system identification techniques. The low-order model preserves the main structural aspects of the full-order one, and its p… Show more

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Cited by 9 publications
(6 citation statements)
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“…This objective function describes the difference between the spectral and the band averaged solution, in particular the energy source/sink term due to radiation transfer. Alternatively, the radiative intensity could be used to define the objective function as well [6]. Based on the variation of ∆F ν due to varying band limits, the procedure is able to determine an optimal set of band limits.…”
Section: Optimization and Verificationmentioning
confidence: 99%
See 1 more Smart Citation
“…This objective function describes the difference between the spectral and the band averaged solution, in particular the energy source/sink term due to radiation transfer. Alternatively, the radiative intensity could be used to define the objective function as well [6]. Based on the variation of ∆F ν due to varying band limits, the procedure is able to determine an optimal set of band limits.…”
Section: Optimization and Verificationmentioning
confidence: 99%
“…To address these questions, numerical optimization procedures have been developed to find an optimal number and distribution of the bands [5,6]. In this paper, we apply the optimization procedure as introduced in [5,7] to a specific mixture of SF 6 and copper vapor.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, several data-based ROMs have been developed to date for the nonlinear problems of radiative transfer considered here. Dimensionality along the frequency variable has been formulated with the POD for SP 1 radiative heat transfer calculations [79], and for radiative heat transfer in plasma applications using an optimization problem [80]. ROMs for thermal analysis of spacecraft have been created with POD-Galerkin and trajectory piecewise-linear methods [81].…”
Section: Introductionmentioning
confidence: 99%
“…In the field of electronics, Fagiano and Gati [7] developed an approach to build ROMs for thermal radiation from plasma arcs in switchgear devices. The heat radiation problem is first modelled as a Linear Parameter Varying (LPV) full order model with one input (black-body intensity), one output (radiation intensity), three parameters (temperature, pressure, gas composition), and a large number of internal states (one for each considered frequency of the electromagnetic spectrum.…”
Section: Introductionmentioning
confidence: 99%