Abstract
The purpose of this paper is to propose a economical design method for duct systems, which have a number of air ducts and fan, by means of Dynamic Programming. Firstly, the system criterion function which can be expressed as the sum of initial cost and operating cost is formularized. Applying the principle of optimality, the functional equation is derived, and performing the computational procedure, the optimal solution can be obtained. Secondly, the author mentions to expand the generalized systems which have branch ducts, and shows how to select fan. Finally, performing a numerical computation example, the author considers the practical application of this method on comparing with conventional method.
