Experimental validation and comparison of direct solar shading calculations within building energy simulation tools: Polygon clipping and pixel counting techniques

Abstract This paper presents an experimental validation procedure of two solar shading calculation techniques - pixel counting (PxC) and polygon clipping (PgC) - and an inter-software comparison to highlight the capabilities and efficiency of each solar shading calculation method. For the first purpose, digital images were taken from the surfaces of small-scale mock-ups specially constructed to generate experimental data for validating simulation results obtained by cases using three different tools: EnergyPlus (PgC based), Shading II SketchUp plug-in (PxC based) and Domus (PxC based). This first task has shown, for prototypes with simple geometries, that all techniques present results in good agreement with the experimental data. However, for a prototype with a hollowed shading device, the PgC-based technique produced results far from the experimental ones since it is not appropriated to simulate multi-hollowed polygons. In order to further explore the capabilities of the two shading calculation techniques, an inter-software comparison has also been carried out for a complex case, considering different building shading solutions, including non-planar trees. The results, in general, have shown that the PxC technique is not limited to geometrical complexities and leads to an accurate and a very fast assessment of sunlit surface fraction. It has also been shown a difference as high as 10 times on the prediction of a daily-integrated solar heat gain by using the two different techniques.

[1]  Bala R. Vatti A generic solution to polygon clipping , 1992, CACM.

[2]  Vincenzo Corrado,et al.  DEVELOPMENT OF A SOFTWARE TOOL FOR THE EVALUATION OF THE SHADING FACTOR UNDER COMPLEX BOUNDARY CONDITIONS , 2011 .

[3]  Edna Shaviv,et al.  SHADING: A design tool for analyzing mutual shading between buildings , 1994 .

[4]  Luis Pérez-Lombard,et al.  Improving direct solar shading calculations within building energy simulation tools , 2013 .

[5]  A. Freewan IMPACT OF EXTERNAL SHADING DEVICES ON THERMAL AND DAYLIGHTING PERFORMANCE OF OFFICES IN HOT CLIMATE REGIONS , 2014 .

[6]  Daniel E. Fisher,et al.  EnergyPlus: creating a new-generation building energy simulation program , 2001 .

[7]  I. Reda,et al.  Solar position algorithm for solar radiation applications , 2004 .

[8]  Donald P. Greenberg,et al.  FAST COMPUTATION OF INCIDENT SOLAR RADIATION FROM PRELIMINARY TO FINAL BUILDING DESIGN , 2011 .

[9]  Yuhong Liu P. Renard, H. Demougeot-Renard, R. Froidevaux, Editors, , Geostatistics for Environmental Applications, Proceedings of the Fifth European Conference on Geostatistics for Environmental Applications (2006) Springer, New York (480pp., US$169, Hardbound, ISBN: 3-540-26533-3) , 2007, Comput. Geosci..

[10]  Ismael R. Maestre,et al.  Influence of selected solar positions for shading device calculations in building energy performance simulations , 2015 .

[11]  Ayca Kirimtat,et al.  Review of simulation modeling for shading devices in buildings , 2016 .

[12]  Vincenzo Corrado,et al.  Calculation procedure of the shading factor under complex boundary conditions , 2011 .

[13]  Donald P. Greenberg,et al.  Fast computer graphics techniques for calculating direct solar radiation on complex building surfaces , 2012 .

[14]  Nathan Mendes,et al.  DOMUS 2.0: A WHOLE-BUILDING HYGROTHERMAL SIMULATION PROGRAM , 2003 .

[15]  Borut Zalik,et al.  An algorithm for polygon clipping, and for determining polygon intersections and unions , 2007, Comput. Geosci..

[16]  Peter R. Atherton,et al.  Hidden surface removal using polygon area sorting , 1977, SIGGRAPH.

[17]  F. D. Heidt,et al.  SOMBRERO: A PC-tool to calculate shadows on arbitrarily oriented surfaces , 1996 .

[18]  Edna Shaviv,et al.  Analyzing mutual shading among buildings , 1997 .

[19]  I. Reda,et al.  Solar Position Algorithm for Solar Radiation Applications (Revised) , 2008 .

[20]  Jean H. Meeus,et al.  Astronomical Algorithms , 1991 .