Building dynamic thermal simulation of low-order multi-dimensional heat transfer

Abstract

Multi-dimensional heat transfers modeling is crucial for building simulations of insulated buildings, which are widely used and have multi-dimensional heat transfers characteristics. For this work, state-model-reduction techniques were used to develop a reduced low-order model of multi-dimensional heat transfers. With hot box experiment of hollow block wall, heat flow relative errors between experiment and low-order model predication were less than 8% and the largest errors were less than 3%. Also, frequency responses of five typical walls, each with different thermal masses or insulation modes, the low-order model and the complete model showed that the low-order model results agree very well in the lower excitation frequency band with deviations appearing only at high frequency. Furthermore, low-order model was used on intersection thermal bridge of a floor slab and exterior wall. Results show that errors between the two models are very small. This low-order model could be coupled with most existing simulation software for different thermal mass envelope analyses to make up for differences between the multi-dimensional and one-dimensional models, simultaneously simplifying simulation calculations.

Keywords

building envelope thermal mass / thermal bridge / model reduction / buildings simulation

References

[1] Building energy efficiency research center of Tsinghua university.Annual report on China building energy efficiency [M], 2012, Beijing, China Architecture & Building press: 2-4

[2] LiuM, ChenB, FanY, ZhuJ-y, SuoJian. Design of low-energy building and energy consumption analyses [J]. Journal of Central South University of Technology, 2009, 16(s1): 239-243

[3] DBJ 01-602-97. Energy conservation design standard for new heating residential buildings detailed rules for application in Beijing area [S]. ( in Chinese)

[4] DBJ 11-602-2006. Design standard for energy efficiency of residential buildings [S]. (in Chinese)

[5] DB11/891-2012. Design standard for energy efficiency of residential buildings (solicit opinions manuscript) [S]. (in Chinese)

[6] ZhouL, BaiM-l, LÜJ-z, CuiW-zheng. Theoretical solution of transient heat conduction problem in one-dimensional double-layer composite medium [J]. Journal of Central South University of Technology, 2010, 17(6): 1403-1408

[7] XiaoY-m, LiuX-c, ZhangR-rong. Calculation of transient heat transfer through the envelope of an underground cavern using Z-transfer coefficient method [J]. Energy and Buildings, 2012, 48(5): 190-198

[8] Energy plus simulation software [R]. Berkeley: Ernest Orlando Lawrence Berkeley National Laboratory, 2011.

[9] TRNSYS 17. 0. A transient system simulation program [R]. Madison: Solar Energy Laboratory University of Wisconsin, 2010.

[10] DaY, XiaJ-j, TangW-y, SongF-t, ZhangX-l, JiangYi. DeST-An integrated building simulation toolkit Part I: Fundamentals [J]. Building Simulation, 2008, 1(2): 95-110

[11] MartinK, ErkorekaA, FloresI, OdrizolaM, SalaJ M. Problems in the calculation of thermal bridges in dynamic conditions [J]. Energy and Buildings, 2011, 43(2/3): 529-535

[12] THERM.. A PC program for analyzing the two-dimensional heat transfer through building products [R]. University of Illinois/Ernest Orlando Lawrence Berkeley National Laboratory, 2011

[13] HEAT3.PC-program for heat transfer in three dimensions-Manual with brief theory and examples [R], 2010, Lund, Lund-Gothenburg Group for Computational Building Physics

[14] JiangY-linModel order reduction methods [M], 2010, Beijing, Science Press: 5-8

[15] ZhaoH-s, SongG-w, JiangQ-yuan. Reduction of power system model using balanced realization method [J]. Transactions of China Electrotechnical Society, 2010, 25(2): 127-133

[16] WangK, WuF, JiangC-sheng. Balanced proper orthogonal decomposition and its application in order reduction of aeroelastic models of aircraft wing [J]. Journal of Vibration and Shock, 2012, 319: 69-72

[17] WangZ-x, LiuL, XuY, XuJ-zhong. Reduced order models for the aerodynamic calculation of the wind turbine airfoil [J]. Journal of engineering therrmophysics, 2011, 329: 1489-1492

[18] ReisT, StytelT. Balanced truncation model reduction of second-order systems [J]. Mathematical and Computer Modelling of Dynamical Systems, 2008, 14(5): 391-406

[19] EN ISO 8990. Thermal insulation: Determination of steady-state thermal transmission properties, calibrated and guarded hot box [S].

[20] EN ISO 6946. Building components and building elements: Thermal resistance and thermal transmittance, Calculation method [S].

[21] GebhartB, JaluriaY, MahajanR L, SammakiaBBuyancy-induced flows and transport [M], 1988, New York, NY, USA, Hemisphere Publishing Co: 749-750