I’m trying to make sense of my artificial Christmas tree electrical system, but the math doesn’t compute. Hopefully someone can explain the apparent discrepancy.
Tree is in three sections. There are a total of 540 LED lights on the tree. As a group, all 540 LED’s emit either all white or one color each (red, green, blue or amber - randomly distributed), depending upon what setting is selected via a small control module.
The bottom tree section is hardwired to a 120VAC-to-29VDC converter. The power to the middle and top sections is supplied via a central conductor (presumably the + side) and a concentric tube (presumably the – side) forming the core of each section’s “trunk.” The female socket at the upper end of the bottom and middle sections accepts the reduced-diameter end/male pin at the lower end of the middle and top sections, providing continuous low-voltage power to the upper two sections.
According to the schematic included in the user manual, the bottom section has three light-strings, the middle section has four light-strings, and the top section has two light-strings. The total number of strings is nine, and each string is independently supplied from the central low-voltage source (i.e. strings are wired in parallel). Total of 540 LED’s divided by 9 = 60 LED’s per string. The individual replacement LED lamps are rated at either 1.8V/0.036W or 3.6V/0.072W (the included literature lists both ratings, but doesn’t specify which rating is applicable to this tree).
If 110 Volts is divided by 60, the result is 1.83 volts, which would correlate to the 1.8V LED rating listed in the tree literature for spare LED lamps. However, since the individual light-strings are only sourced with 29VDC, dividing 29 volts by 60 results in only 0.48 Volts per LED, which doesn’t match either of the stated lamp ratings.
There must be some electronic magic going on here that I’m overlooking and/or not understanding, in order to supply more than 1/2 volt to each LED. Any clarifications would be greatly appreciated.
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