## 3 Results  
### Sensitivity Analysis  
Runs of the program were carried out in order to find the correspondent TAEC, considering 200 as a sufficient number of executions to analyze the variance of energy use without overloading the number of outputs. As mentioned before, the program was developed only for ranges of power, time of use and percentage of saturation below the actual values. This is considering that the governmental programs have a sort of effect amongst the residential users and thus there is a certain level of energy saving within the Mexican residential sector. Nevertheless, the program could calculate higher use than the presented in reality (54.6 TWh). This is because the program has an error rate of 2.56% with respect to the actual energy use. Thereby, if there is a saturation of electrical devices with a level of energy efficiency, Figure 2 can be displayed. 200 runs are carried out for a case of use of efficient illumination & appliances, 200 for a case of usage of efficient refrigeration, and 200 runs for the use of efficient air-conditioning. The results are shown simultaneously in Figure 5. \begin{table}
\begin{tabular}{c c c} \hline
**Activity** & **Lower Threshold** & **Upper Threshold** \\ \hline Air-conditioning & 5\% & 30\% \\ Illumination \& appliances & 20\% & 70\% \\ Refrigeration & 8\% & 50\% \\ \hline \end{tabular}
\end{table} 
Table 7: Minimum and maximum level of penetration of use of efficient appliances and/or decrease of their time of use for the Mexican residential sector. In Figure 5 it can be noticed that the usage of efficient refrigerators and air-conditioning has only a slight effect on the Mexican residential electricity use (maximum saving of 3.3 and 3.9 TWh, respectively) whereas the usage of efficient appliances & illumination can reduce considerably the electricity use, up to 16.01 TWh. Nevertheless, it is noticed that the probability of having an energy saving is higher if the usage of efficient devices is focused on air-conditioning and refrigerators. In other words, the usage of efficient air-conditioning units can ensure at least a saving of 1.89 TWh, and the usage of efficient refrigerators can provide a saving of 1.04 TWh. By using low-energy illumination & appliances, the probability of having a higher energy saving than low-energy air-conditioning is 79%, while is 87% probable of having a higher saving than the use of low-energy refrigerators, even though there is a probability of having a higher energy use than the actual presented in 2015. When the time of usage of the devices is reduced, Figure 6 can be constructed. Again, the electricity use is calculated with a reduction of usage not related between the three energy activities. In this case it is considered that the time of use of air-conditioning systems, illumination & appliances is reduced by switching off the devices, whereas the time of use of refrigerators is decreased by not getting hot products in, not letting the door open and not opening the door many times, therefore the compressor of the refrigerator does not work in an often manner [33]. As for the use of efficient devices, the time reduction of usage of refrigeration and air-conditioning systems does not have a high influence upon the electricity use (maximum saving of 3.3 and 2.9 TWh, respectively). There is, however, a major reduction if the appliances & illumination are decreased in their time of usage i.e., 13.15 TWh. Nonetheless, with the reduction of the usage of air-conditioning ensures a saving of 1.89 TWh. Also, with the reduction of usage of refrigerators the saving would be at least 0.94 TWh. By decreasing the time of usage of illumination & appliances, the probability of having a higher energy saving than decreasing the usage of air-conditioning is only 68%, while there is a 73% chance of having a higher saving than the reduction of the use of refrigerators. If both the power and the usage are reduced, Figure 7 is displayed.