Identifications: the relative variation rates (RVRs) of cooling and heating are approximately the same in different cities with the same increase of shape coefficients

Among 14 background cities, Boulder of America and Shanghai of China which differ in climatic conditions are selected for comparison. Taking the building with traditional envelope when the ventilation rate is 0 as an example, this paper studies the variation laws of hourly, daily and monthly relative variation rates (RVRs) with the same increase of shape coefficient in the two cities. By comparisons, we find that though there exists significant difference in annual heating and cooling hours, days and months between Boulder and Shanghai, the distribution laws of hourly, daily and monthly RVRs are very similar and their variation ranges are also approximately the same in the two cities. This similarity in hourly, daily and monthly distribution determines the inevitable approximate equality of the annual heating and cooling RVRs in different cities and thus the proposition is right in a wide range.