I've been playing around with Suns with negative strength values. Here are some of my experiments;
Number 1 is just a low normal sun with 3 negative suns of around -0.3
Number 2 is the same 3 negative suns the same but with the normal sun between 2 and 4
Number 3 is the same as number 1 but with a lower normal sun, below the horizon and higher strength
Number 4 is as number 3 with the strength of the normal sun ramped up even more, to 70
Number 5 shows the negative suns moved closer together to test their effect on each other
Number 6 is to show how the negative suns block light from 2 normal suns on either direction, so you have a band of normal light which would normally be very bright
Number 7 is a decreased strength. (-0.4) for Sun 3, I made the disc visible and set it to 5 as well
Number 8 is the same as 7 but with no disc and the strength decreased further to -0.6
Number 10 is a single negative sun set to -0.3 seen from above the atmosphere in a "sunrise" test
I've also been looking at the same thing with lightsources. Unfortunately all it does is reverse the colour that you choose. The colours in image 9, left to right, were actually set;
White (negative value), Pink (negative value), Pink (positive value)