Thin PSU wire replacement
The sense wires simply measure the voltage at the connector, so that the power supply can be aware of the voltage drop on the wires between the power supply and connector.
For example, at 5v at 1A load, you may have something like 0.02v drop on the wires. The power supply may output 5v and at the connector you'll have 4.98v at connector. The power supply will sense the voltage at 4.98v and counteract that by pushing 5.05v or 5.1v so that by the time the electricity reaches the connector, you'll have 5v or slightly more there.
At 5-10A, you may have about 0.1v..0.2v drop on the wires, so without voltage sense your power supply would output 5v but at the connector you only have 4.8v.. 4.9v.
So in theory, you could open the power supply and connect the sense wires directly to the 3.3v , 5v or 12v outputs inside the power supply but this would basically kill the sense functionality and you won't have as steady voltages as original design.
Yes, you can also use thicker wires for the sense wires, but it won't make a difference as there's no current flowing through those wires. They're like a multimeter probe leads, only there to measure voltage at connector.
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