KIEAE Journal

Korea Institute of Ecological Architecture and Environment (한국생태환경건축학회)
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Optimization Method of Building Energy Performance and Construction Cost Using Kuhn-Tucker Conditions

쿤-터커 조건을 이용한 건물의 에너지성능과 비용 최적화방법

  • Published : 2003.06.30
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Abstract

The purpose of this study is to present rational methods of multi-criteria optimization of the shape of energy saving buildings. The object is to determine the optimum dimension of the shape 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, the proportions of wall length and building height are determined by using non-linear programing methods(Kuhn-Tucker Conditions). The results constitute information for designers on the optimum proportions of wall lengths, height, and the ratios of window to wall areas for energy saving buildings.

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