Mathematical Model and Validation for Performance Estimation of Vapour Compression Refrigeration System

摘要

Refrigeration is an inevitable part of the modern era with industrial and domestic applications. The performance of widely used vapour compression refrigeration systems are seldom quantified with the parameters that influence it's working. In order to predict the performance index ofa vapour compression refrigeration (VCR) system, it is necessity to understand how the parameters of the system actually affect it. The chosen parameters should be generic enough to allow recasting the model for another equipment of similar design or slightly different design. In this presentstudy, it is aimed to create such a model and a part has been formulated to study the behaviour of two out of four components in the system. An ordinary differential equation (ODE)-type hard-system mathematical model is developed for the behaviour of heat exchangers (evaporators and condensers)in steady state vapour compression refrigeration system as a part of modeling the whole VCR system. The model is validated against published data and the model is found to be valid within a reasonable error of 12% in predicting the output temperature. The developed model is further analyzedfor bifurcation points and asymptotic stability using techniques of non-linear dynamics. The model is also used to understand the temperature changes during the flow. Optimum COP attained with given set of flow parameters with the developed model.