Research Papers

State Space Model for Thermal Analysis of Integrated Structure of Flat Plate Solar Collector and Building Envelope

[+] Author and Article Information
Guoqing Yu

School of Environment and Architecture,
University of Shanghai for
Science and Technology,
Jungong Road 516,
Shanghai 200093, China
e-mail: yuguoqinghvac@163.com

Jirui Zhou

School of Environment and Architecture,
University of Shanghai for
Science and Technology,
Jungong Road 516,
Shanghai 200093, China
e-mail: zhoujirui@126.com

Yongqiang Tang

School of Environment and Architecture,
University of Shanghai for
Science and Technology,
Jungong Road 516,
Shanghai 200093, China
e-mail: tyqmate@126.com

1Corresponding author.

Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received February 8, 2015; final manuscript received September 5, 2015; published online October 15, 2015. Assoc. Editor: Jorge E. Gonzalez.

J. Sol. Energy Eng 137(6), 061008 (Oct 15, 2015) (9 pages) Paper No: SOL-15-1031; doi: 10.1115/1.4031683 History: Received February 08, 2015; Revised September 05, 2015

Active types of integration of flat plate solar collectors and building envelopes are studied in this paper. The integrated structure of flat plate solar collector and building envelope includes glass cover, absorber plate, tubes, back insulation, and building envelope (we will call it integrated structure later in this paper). With the solar collector integrated with building, the boundary conditions of heat transfer both for the solar collector and the building envelope are changed significantly, and the thermal performance of solar collection and building heat transfer characteristics influences each other. The state space model for thermal analysis of the integrated structure is proposed in this paper, and method for solving this state space model is provided. Moreover, thermal analysis for a particular integrated structure was conducted both by state space model and fluent simulation, then the results were compared and agree well. The state space model has great advantages in time-spending over fluent simulation and it can be used for long-term (several months or a whole year) simulation of the integrated structure. Comparison were made between the integrated structure, detached solar collector and detached single wall based on results calculated by state space method. It shows that (1) integration has little impact on the thermal efficiency of solar collection and the useful heat gain of the integrated structure are nearly the same as that for the single detached solar collector under the same ambient conditions; (2) integration has significant impact on the heat flux across the wall, and the heat flux of the integrated structure is much less than the detached single wall.

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Duffie, J. A. , and Beckman, W. A. , 2013, Solar Engineering of Thermal Processes, Wiley, New York, pp. 236–321.
Zhai, X. Q. , Wang, R. Z. , Dai, Y. J. , Wu, J. Y. , and Ma, Q. , 2008, “ Experience on Integration of Solar Thermal Technologies With Green Buildings,” Renewable Energy, 33(8), pp. 1904–1910. [CrossRef]
Yang, H. X. , 2009, Solar Building Integration Technology and Application, Architecture and Building Press, Beijing.
De Ron, A. J. , 1980, “ Dynamic Modelling and Verification of a Flat-Plate Solar Collector,” Sol. Energy, 24(2), pp. 117–128. [CrossRef]
Kamminga, W. , 1985, “ Experiences of a Solar Collector Test Method Using Fourier Transfer Functions,” Int. J. Heat Mass Transfer, 28(7), pp. 1393–1404. [CrossRef]
Muschaweck, J. , and Spirkl, W. , 1993, “ Dynamic Solar Collector Performance Testing,” Sol. Energy Mater. Sol. Cells, 30(2), pp. 95–105. [CrossRef]
Isakson, P. , 1995, Solar Collector Model for Testing and Simulation, Kungl. Tekniska Högskolan, Stockholm.
Kong, W. , Perers, B. , Fan, J. , Furbo, S. , and Bava, F. , 2015, “ A New Laplace Transformation Method for Dynamic Testing of Solar Collectors,” Renewable Energy, 75(10), pp. 448–458. [CrossRef]
Deng, J. , Xu, Y. , and Yang, X. , 2015, “ A Dynamic Thermal Performance Model for Flat-Plate Solar Collectors Based on the Thermal Inertia Correction of the Steady-State Test Method,” Renewable Energy, 76(12), pp. 679–686. [CrossRef]
University of Wisconsin-Madison, Solar Energy Laboratory, and Klein, S. A. , 2009, “ TRNSYS, a Transient System Simulation Program,” Solar Energy Laboratory, University of Wisconsin–Madison, Madison, WI.
Ho, K. T. , and Loveday, D. L. , 2002, “ New Approach for Analyzing Solar Collectors Subjected to Unequal Front/Rear Ambient Temperatures: The Equivalent Ambient Temperature Concept, Part 1: Modeling,” ASME J. Sol. Energy Eng., 124(3), pp. 262–267. [CrossRef]
Kang, M. C. , Kang, Y. H. , Lim, S. H. , and Chun, W. , 2006, “ Numerical Analysis on the Thermal Performance of a Roof-Integrated Flat-Plate Solar Collector Assembly,” Int. Commun. Heat Mass Transfer, 33(8), pp. 976–984. [CrossRef]
Yu, G. Q. , and Gong, X. H. , 2009, “ Study on the Thermal Performance of the Integration of Solar Collectors and Building Envelopes,” J. Cent. South Univ. Technol., 16(s1), pp. 255–258.
Hassan, M. M. , and Beliveau, Y. , 2008, “ Modeling of an Integrated Solar System,” Build. Environ., 43(5), pp. 804–810. [CrossRef]
Motte, F. , Notton, G. , Cristofari, C. , and Canaletti, J. L. , 2013, “ Design and Modelling of a New Patented Thermal Solar Collector With High Building Integration,” Appl. Energy, 102(8), pp. 631–639. [CrossRef]
Ji, J. , Luo, C. L. , Sun, W. , and Jiang, Q. Y. , 2010, “ Study on the Effect of Building Integrated Double-Effect Solar Collector on the Building Load in Summer,” Chin. Sci. Bull., 55(3), pp. 289–295.
Ji, J. , Luo, C. , Chow, T. T. , Sun, W. , and He, W. , 2011, “ Thermal Characteristics of a Building-Integrated Dual-Function Solar Collector in Water Heating Mode With Natural Circulation,” Energy, 36(1), pp. 566–574. [CrossRef]
Jiang, Y. , 1981, “ State-Space Method for Analysis of the Thermal Behavior of Room and Calculation of Air Conditioning Load,” ASHRAE Trans., 88(2), pp. 122–132.
Yao, Y. , Yang, K. , Huang, M. , and Wang, L. , 2013, “ A State-Space Model for Dynamic Response of Indoor Air Temperature and Humidity,” Build. Environ., 64(3), pp. 26–37. [CrossRef]
Jimenez, M. J. , and Madsen, H. , 2008, “ Models for Describing the Thermal Characteristics of Building Components,” Build. Environ., 43(2), pp. 152–162. [CrossRef]
Long, W. D. , 1989, “ Calculation of the Wall Thermal Response Factors by Using of the State Space Method,” J. Refrig., 4(42), pp. 8–14.
Jiang, Y. , 2006, Building Environmental System Simulation and Analysis—DeST, Architecture and Building Press, Beijing, pp. 26–52.


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Fig. 1

Schematic of an integrated structure

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Fig. 2

Schematic of nodes for the integrated structure

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Fig. 3

Temperature contour picture along a water tube at a certain moment

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Fig. 4

Temperature contour picture across the integrated structure at a moment

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Fig. 7

Heat flux across the integrated structure into the building

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Fig. 8

Outlet temperature profiles of integrated structure and single collector

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Fig. 9

Useful heat gain profiles of integrated structure and single collector

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Fig. 10

Heat flux contrast of integrated structure and single wall into the building

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Fig. 11

Useful heat gain of different angles




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