If I look at the curves for the TEC-12730 which seems to be similar to the element you mentioned.
For a 35w heat load with a dT of 15c it will draw 6A at 4v. So 24W power consumption to move 35W of heat. Why does this seem so far off what you said?
The answer, Im fairly certain, lies in the fact that in yours the dT will be much higher. Perhaps around 40C from that graph (excuse any mistakes, I really don't like these graphs)?




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