Currently, energy demand and environmental pollution have boosted the evolution of different environment friendly technologies for the development of clean and renewable energies. That is why scientific research allows us to demonstrate the use of solid state based devices implementing temperature changes by electric induction. Given the above, a combined thermic generation system is taken into consideration, consisting in an environmentally friendly thermoelectric generator and refrigerator, wich is fueled and controlled by an electric fluid. Therefore, this study gives an approch and mathematic demonstrations to the concepts of greater relevance about the thermoelectric device and the effects of greater incidence, responsible for giving advantageous characteristics to the implementation of Peltier cells as a basic device in a cooling system for smaller applications, maintaining an ecological system, clean and without detrimental effects to the ozone layer, since there is no C02 emissions into the atmosphere.