In order to have the most apropriate components for our prototype the following sizing was done:
LEDs
We began by identifying the what were the power needs for the leds. Since they operate at 5 volts and require a total of 18 watts, it means they draw a current of 18/5 = 3.6 amperes. To meet this standards we chose a power sulpy rated at 5 volts and 4 amperes, wich delivers apower of 20 watts. With the LEDs using 18 watts, this means the setup has 2 watts of available power, which is more than enough to power the ESP32 microcontroller, whcih consumes less than 1 watt of power, 24 miliamperes at 3.3 volts.
Battery
In regards to the battery, we considered ESP32 during typical operation. Considering the worst case scenario, the ESP32 connected to the battery would be transmitting data over Wi-Fi for 10 % of the time. Under normal consitions, the ESP32 draws 24 miliamperes of current, but during the transmition the consuption rises to 150 miliamperes. By calculating the weighted average, we estimated that an average current draw of aproximately 39 miliamperes. Assuming that a full night of sleep lasts 10 hours - considering the worst case scenario again - we determined that the abttery would have to provide at least 390 miliampere-hours (mAh) of capacity. To ensure good performance and to prevent any unforseen accidents, we chose a battery we chose a bttery with a capacity of 500 mAh.