Research Papers: Thermal Systems

Dynamic Models of Thermal Systems Using an Energy-Based Modeling Approach

[+] Author and Article Information
Federica Grossi

Department of Engineering “Enzo Ferrari,”
University of Modena and Reggio Emilia,
Modena 41121, Italy
e-mail: federica.grossi@unimore.it

Roberto Zanasi

Department of Engineering “Enzo Ferrari,”
University of Modena and Reggio Emilia,
Modena 41121, Italy
e-mail: roberto.zanasi@unimore.it

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 15, 2014; final manuscript received May 3, 2016; published online June 7, 2016. Assoc. Editor: William P. Klinzing.

J. Heat Transfer 138(10), 102801 (Jun 07, 2016) (12 pages) Paper No: HT-14-1614; doi: 10.1115/1.4033543 History: Received September 15, 2014; Revised May 03, 2016

The aim of this work is to give a new approach to obtain compact dynamic thermal models suitable for a variety of systems where the heat transfer can be caused by conduction, internal convection (not at the boundary), and evaporation/condensation of water. The structural properties of the proposed dynamic model are presented and discussed in this paper. These properties guarantee conservation of energy and mass within the system, thus giving a good confidence in the correctness of the model. This paper shows that the proposed model has a simple structure, can be easily implemented in simulink, and provides simulation times much shorter compared with those usually obtained using CFD programs. The proposed model proves to be suitable for real-time simulations and for control design purposes.

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Fig. 1

Thermal system with heat transfer only due to conduction

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Fig. 2

Thermal system with conduction and internal convection

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Fig. 3

(a) Shape of the evaporation function ψ0(T) and (b) qualitative shape of function α(mi)

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Fig. 4

Thermal system with conduction, internal convection, and evaporation/condensation of water

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Fig. 5

POG block scheme of the thermodynamic system (20)

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Fig. 6

Simulink block scheme of the thermodynamic system (20)

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Fig. 7

Temperatures Ti and pressures Pi of model C

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Fig. 8

Specific humidities ui and humidity ratios ũi of model C

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Fig. 9

Temperatures Ti and pressures Pi of model CC

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Fig. 10

Specific humidities ui and humidity ratios ũi of model CC

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Fig. 11

Volume flow rates ϕV12, ϕV23, and ϕV31 of model CC

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Fig. 12

Temperatures Ti and pressures Pi of model CCE

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Fig. 13

Mass variations Δm8, Δm9, and evaporation/condensation mass flow rates −φ18 and φ92 of model CCE

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Fig. 14

Specific humidities ui and humidity ratios ũi of model CCE



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