Are the annual relative variation rates of energy consumption approximate in different cities with the same shading coefficient?

This paper studies two buildings located in 10 background cities of China and USA with tools of DOE-2 and characteristic temperature method (CTM), respectively. The aim here is to find the variation laws of annual heating and cooling energy consumptions and their relative variation rates (RVRs) with the decrease of sun-shading coefficient. By exploration, we can find that when sun-shading coefficient declines, the prediction of CTM on the annual heating and cooling energy consumptions and their RVRs is the same with that of DOE-2 in tendency while the prediction of CTM on annual heating energy consumption and its RVRs is quite different from that of DOE-2 quantitatively. By further study, we can also find that for the same building with the same sun-shading coefficient, the annual RVRs of heating needs are close and those of cooling needs are also close in cities with various meteorological conditions. The annual RVRs of heating and cooling energy consumption are dependent on sun-shading coefficient. When sun-shading coefficient is bigger, the annual RVRs of heating energy consumption are higher in every city while those of cooling needs are lower. On the other hand, when sun-shading coefficient is smaller, the annual RVRs of cooling needs in each city significantly increase while those of heating needs decrease mildly, thus the gap between them is enlarged.