Rinse and pick through peas to remove any unpleasant bits.
Bring 2 cans vegetable broth to boil in large saucepan.
Meanwhile, sauté onion in butter until just translucent, not soft.
Add split peas and cooked onion to broth. Cook about 1 hour till peas are very tender, adding more vegetable broth as needed. You do not want too much broth.
In a separate pan, cook carrots in water till tender. Chop into fine pieces.
When split pea mixture is soft, purée in a blender or food processor till it is creamy and smooth.
Return to pan and add finely chopped carrots.
Heat through and serve. Soup should be very thick and creamy.