Development and validation of “grey-box” models for refrigeration applications: A review of key concepts

Flores, Silvia Estrada; Merts, I.; Ketelaere, Bart De; Lammertyn, Jeroen

doi:10.1016/j.ijrefrig.2006.03.018

Cited by 53 publications

(22 citation statements)

References 25 publications

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“…In the literature on ecological modeling the white-box modeling is discussed as a future opportunity [8]. Currently, this type of modeling is used and widely discussed only in engineering sciences [9][10][11][12][13]. We consider the cellular automata method developed in this study as the white box modeling.…”

Section: Uniform Cellular Automaton Applies the Same Rules Formentioning

confidence: 99%

Axiomatic cellular automata modelling as a promising way to a general theory of ecological physics

Kalmykov¹,

Kalmykov²,

Kalmykov³

2017

MOJES

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The observed loss of biodiversity calls to create a general theory of ecological physics for better understanding of the events. Due to the inseparable mutuality of organism and environment, ecological physics should combine biophysics (physics of organisms) and environmental physics. We guess that a general theory of ecological physics should include as an abstract physical description of an ecosystem and a tool for its transparent ("white box") modelling. Such a theory should have a system of basic axioms. Here we demonstrate that logical cellular automata allow to create transparent models of ecosystems. The system of basic axioms of the general theory of ecological physics performs the role of the cellular automata rules. We believe that such a transparent mathematical modelling from the first principles is very promising not only for the ecology, but also for modelling of any complex dynamic systems. deterministic inference of white-box models. Here we introduce a physics-based semantics (ontology) of our ecosystem models. Further, we transform this semantics to a set of axiomatic cellular automata rules. An elementary object of our models is a micro ecosystem. This is the basic ideal "self-moving" object of our models. Autonomous dynamics of this object is characterized by a set of states, and the diagram of their sequential change in accordance with the principles of the extreme. Following Tansley, we consider individuals with their ''special environment, with which they form one physical system'' [1]. A microhabitat is the intrinsic part of environmental resources of one individual and it contains all necessary resources for its life. It is an intrinsic part of all environmental resources and conditions per one individual. The high-grade (''fresh'') energy flow of solar radiation provides an individual's life in a microhabitat. The flow of lowered-grade (''used-up'') energy which is produced during an individual's life goes into the cold space and also provides the conditions for an individual's life in a microhabitat. A living organism is not able to function without the heat output to a ''refrigerator''. Ultimately, the cold space performs a role of the refrigerator. A working cycle of a micro ecosystem's processes represents a closed circle, which includes occupation of a microhabitat by an individual and restoration of used resources after an individual's death. A micro eco-system, includes a single microhabitat and is able to provide a single accommodation of one individual, but it cannot provide its propagation. This is due to the fact that after an individual's death, its microhabitat goes into a regeneration (refractory) state, which is not suitable for immediate occupation. A minimal ecosystem, providing a possibility of vegetative propagation of an individual, must consist of two microhabitats. In our models vegetative propagation is carried out due to resources of an individual's microhabitat by placing a finished vegetative primordium of a descendant in a free microhabitat of an indiv...

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Section: Uniform Cellular Automaton Applies the Same Rules Formentioning

confidence: 99%

Axiomatic cellular automata modelling as a promising way to a general theory of ecological physics

Kalmykov¹,

Kalmykov²,

Kalmykov³

2017

MOJES

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“…The term has however evolved to designate all types of models that combine white-box and black-box submodels. For instance, the grey-box models in Akkari, Chevallier, and Boillereaux (2005), Estrada-Flores, Merts, De Ketelaere, and Lammertyn (2006), and Worden et al (2007) combine first-principle based "white-box" models and empirical "black-box" models. In these cases both, white-and black-box models, are parametric models.…”

Section: Introductionmentioning

confidence: 99%

Hybrid semi-parametric modeling in process systems engineering: Past, present and future

Stosch¹,

Oliveira²,

Peres³

et al. 2014

Computers & Chemical Engineering

359

201

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Hybrid semi-parametric models consist of model structures that combine parametric and nonparametric submodels based on different knowledge sources. The development of a hybrid semi-parametric model can offer several advantages over traditional mechanistic or data-driven modeling, as reviewed in this paper. These advantages, such as broader knowledge base, transparency of the modeling approach and cost-effective model development, have been widely recognized, not only in academia but also in the industry.In this paper, the most common hybrid semi-parametric modeling and parameter identification techniques are revisited. Applications in the areas of (bio)chemical engineering for process monitoring, control, optimization, scaleup and model-reduction are reviewed. It is outlined that the application of hybrid semi-parametric techniques does not automatically lead into better results but that rational knowledge integration has potential to significantly improve model-based process operation and design.

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“…White box, first principle model (FPM) or deterministic model is used when complete information of the process is accessible and the whole governing equations of the system are solvable using analytical or numerical techniques. The governing equations are mass, energy and momentum balances and empirical equations from thermodynamics and kinetics [17,18]. The commercial simulators for simulation of oil refining units use FPMs [19].…”

Section: Introductionmentioning

confidence: 99%

“…If the governing equations are not available, cannot be solved or need long computational time; the process simulation can be carried out using pure ANN. This type of modeling which uses only input and output data is called black box modeling [17,18]. ANN models only use input-output data of a system without requiring the process details and knowledge of systems.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid modeling of ethylene to ethylene oxide heterogeneous reactor

Zahedi

Lohi

Mahdi

2011

Fuel Processing Technology

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Development and validation of “grey-box” models for refrigeration applications: A review of key concepts

Cited by 53 publications

References 25 publications

Axiomatic cellular automata modelling as a promising way to a general theory of ecological physics

Axiomatic cellular automata modelling as a promising way to a general theory of ecological physics

Hybrid semi-parametric modeling in process systems engineering: Past, present and future

Hybrid modeling of ethylene to ethylene oxide heterogeneous reactor

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