Abstract
This paper reports on mathematical optimum design for the arrangement and heat distribution of radiant heating panels which hitherto had been handled only empirically. The Lagrange Method and SUMT were used as nonlinear optimization techniques. In case of Lagrange Method inequality constraints were eliminated by considering heat distribution patterns, and in case of SUMT equality constraints were eliminated by elimination of behavior variables using matrix method. Furthermore the approximation method of gradient vector was also proposed. It was turned out clear that the values of objective function which signified the sum of square of deviation of environmental index temperature to its designed values could be brought nearly to zero, if the heat distribution of devided zones of ceiling was freely controlled. However in case of the uniform heat distribution of radiant heating panels or grouping of panels, the values of objective function increased if the panels were not arranged in good condition. Furthermore it could be recognized that the optimum heating load were lessened as the area of radiant heating panels was larger.
