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A Study on the Optimization Method of Building Envelope using Non-linear Programming  

Won, Jong-Seo (연세대 건축공학과)
Lee, Kyung-Hoi (연세대 건축공학과)
Publication Information
KIEAE Journal / v.3, no.2, 2003 , pp. 17-24 More about this Journal
Abstract
The purpose of this study is to present rational methods of multi-criteria optimization of the envelope of buildings. The object is to determine the optimum R-value of the envelope of a building, based on the following criteria: minimum building costs (including the cost of materials and construction) and yearly heating costs. Mathematical model described heat losses and gains in a building during the heating season. It takes into consideration heat losses through wall, roof, floor and windows. Particular attention was paid to have a more detailed description of heat gains due to solar radiation. On the assumption that shape of building is rectangle in order to solve the problem, optimum R-value of the envelope of a building is determined by using non-linear programing methods(Kuhn-Tucker Conditions). The results constitute information for designers on the optimum R-value of a building envelope for energy saving buildings.
Keywords
Multi-criteria optimization; yearly heating costs; mathematical model; non-linear programing methods(Kuhn-Tucker Conditions);
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