Finite element modeling for heat transfer processes using the method of integro-differential relations with applications in control engineering

Kersten, Julia; Rauh, Andreas; Aschemann, Harald

doi:10.1109/mmar.2014.6957423

Cited by 11 publications

(4 citation statements)

References 7 publications

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“…The focus of the presented modeling approaches is on spatially one-dimensional scenarios. However, these models can be generalized to higher-dimensional applications (see Rauh et al, 2013b;Kersten et al, 2014). Note that the modeling and control aspects in this paper are selected in such a way that they allow highlighting all fundamental properties of the MIDR procedure.…”

Section: Application-oriented Benchmark For Modeling Distributed Heatmentioning

confidence: 99%

“…This type of approximation simplifies the definition of boundary and inter-element conditions as well as the computation of worst-case bounds of the temperature profile in both space and time. Furthermore, it can be generalized in a straightforward manner to spatially higher-dimensional problems (see Rauh et al, 2013b;Kersten et al, 2014).…”

Section: Conclusion and Outlook On Future Workmentioning

confidence: 99%

“…For further information concerning the theoretical background of the MIDR, see the work of Kostin and Saurin (2012). Possible extensions of this approach to a problem-oriented modeling of higher-dimensional applications can be found in the works of Rauh et al (2013b) and Kersten et al (2014). Additionally, strategies for a order reduction-aiming at real-time applicability of the finite element model in control and state estimation-are described exemplarily by Rauh et al (2015).…”

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confidence: 99%

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An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems

Rauh

Senkel

Aschemann

et al. 2016

International Journal of Applied Mathematics and Computer Science

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In this paper, control-oriented modeling approaches are presented for distributed parameter systems. These systems, which are in the focus of this contribution, are assumed to be described by suitable partial differential equations. They arise naturally during the modeling of dynamic heat transfer processes. The presented approaches aim at developing finitedimensional system descriptions for the design of various open-loop, closed-loop, and optimal control strategies as well as state, disturbance, and parameter estimation techniques. Here, the modeling is based on the method of integrodifferential relations, which can be employed to determine accurate, finite-dimensional sets of state equations by using projection techniques. These lead to a finite element representation of the distributed parameter system. Where applicable, these finite element models are combined with finite volume representations to describe storage variables that are-with good accuracy-homogeneous over sufficiently large space domains. The advantage of this combination is keeping the computational complexity as low as possible. Under these prerequisites, real-time applicable control algorithms are derived and validated via simulation and experiment for a laboratory-scale heat transfer system at the Chair of Mechatronics at the University of Rostock. This benchmark system consists of a metallic rod that is equipped with a finite number of Peltier elements which are used either as distributed control inputs, allowing active cooling and heating, or as spatially distributed disturbance inputs.

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Section: Application-oriented Benchmark For Modeling Distributed Heatmentioning

confidence: 99%

Section: Conclusion and Outlook On Future Workmentioning

confidence: 99%

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confidence: 99%

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An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems

Rauh

Senkel

Aschemann

et al. 2016

International Journal of Applied Mathematics and Computer Science

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“…Reliable modeling is needed when different control strategies are applied to distributed parameter systems, see Butkovsky (1969); Chernousko et al (1996). Problems of heat transfer control for different simple bodies like cylinders, rods, and bars were recently considered in a large number of papers, e.g., in Kersten et al (2014); Rauh et al (2015a,b). In Kostin et al (2017), an optimal control of the heating of a metal bar was presented.…”

Section: Introductionmentioning

confidence: 99%

MATHMOD 2018 Extended Abstract Volume

2018

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ARGESIM is a non-profit scientific society generally aiming for dissemination of information on system simulation -from research via development to applications of system simulation. ARGESIM's primary publication is the journal SNE -Simulation Notes Europe with open access to all contributions; generally, the authors retain the copyright of their SNE contributions. This copyright regulation holds also for other ARGESIM publications, as conference volumes of ASIM conferences, MATHMOD conferences, and special EUROSIM conferences, in consideration of copyright regulations for related conference publications. About ARGESIMARGESIM is a non-profit society generally aiming for dissemination of information on system simulation from research via development to applications of system simulation. ARGESIM is closely co-operating with EUROSIM, the Federation of European Simulation Societies, and with ASIM, the German Simulation Society. ARGESIM is an 'outsourced' activity from the Mathematical Modelling and Simulation Group of TU Wien, there is also close co-operation with TU Wien

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Finite Element Approaches for Real-Time Control and Observer Design of Flexible Rack Feeder Systems

et al. 2015

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Finite element modeling for heat transfer processes using the method of integro-differential relations with applications in control engineering

Cited by 11 publications

References 7 publications

An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems

An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems

MATHMOD 2018 Extended Abstract Volume

Finite Element Approaches for Real-Time Control and Observer Design of Flexible Rack Feeder Systems

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