MULTIVARIABLE MATHEMATICAL MODELING AND SIMULATION OF DYNAMIC BEHAVIOR OF AN AIRCONDITIONING ROOM

The aim of this study is to obtain and analyze the nonlinear multivariable mathematical model of the dynamic behavior of the system in order to save energy and apply modern control theories in air conditioning systems. For this, an experiment facility was established and the required mathematical model was prepared based on this installation. Control sizes considered in this model temperature, humidity and air velocity are variables. In addition to these, the mixing ratio formed by recirculation of air is also taken into account. Control elements include heaters, humidifiers, fans and mix air dampers. In this works; determining the internal and external variables of the system, defining the thermodynamic properties of humid air, determining the optimum continuous regime conditions, writing the system's energy, humidity and wall energy balance equations, establishing a multivariable mathematical model and simulating this model for the system. While establishing the mathematical model of the system, necessary assumptions were made to simplify the equations, the thermodynamic properties of the mix zone were determined and a solution was presented. In the nonlinear simulation results, iterative solutions have been made in a certain step range according to a suitable formulation and have been shown to exhibit a stable behavior. Mixing the air used in the system at a certain rate and returning it to the system by circulating does not disturb the stability of the system. The graphics of the studies are given and the results are interpreted. According to the mathematics model and simulation study established here, the results are very promising.