The modern world has strongly developed the perception that many resources, such as water and energy, are being spent inefficiently. Therefore, new technologies have been developed in order to remedy this problem. In the context of thermal systems, this gain in competitiveness and efficiency can be achieved through trigeneration systems. Given this context, the main objective of this study is to determine the benefits of trigeneration and the mechanisms that intensify the economy of energy, such as the thermal energy storage. This objective was reached through the study of trigeneration with demands of electricity, heating and refrigeration of the university hospital of the University of Campinas (UNICAMP). The current system, without trigeneration, was compared with two new architectures, both with trigeneration, the second one additionally presenting thermal energy storage. This comparison was possible through the results of a code written in MATLAB, in which each architecture was programmed according to a mathematical model based on the first law of thermodynamics. This study verified that the economy generated by the implementation of these new architectures is extremely beneficial to the hospital, saving 34.8 percent, with trigeneration, and 35 percent, with trigeneration and thermal energy storage, of the total energy consumption.