According to the diagram I’m looking at the headlight bulbs for an 06 Sonata 3.3L have orange and red wire for power, and black for ground. So I’m confused when you say you are measuring a green wire. Double check you are probing the actual headlight bulb pins.
Then do the measurement again, this time measure the voltage between the orange and black, then the red and black, with the headlights on or off and the engine running.