Mathematical solutions to the multiple-fan ventilation systems

In this study, graphical and mathematical methods used to determine operati ng points in single or multiple fan ventilation systems are summarized. The problem is mathematically formalized for parallel connected fans in which analytical solutions are not possible. For n number of parallel connected f ans, a non-linear equation system that consists of n number of non-linear e quations is derived. The Newton-Raphson method, which is a numerical analys is method, is adapted to solve this non-linear equation system and the solu tion steps are given as an algorithm. A computer program based on this algo rithm is written and its application is proved.