Three things bees need for brooding:
Water.
Protein.
Carbohydrate.
If they do not have all three, they will not be able to support much brood.
In winter they don't need any more water (they can last for weeks, without going out, after all). They just need thermal energy to keep the cluster warm.
The observant beek will notice that larvae are very soft; they have a hydro-skeleton, so are made up of lots of water. They are fed a lot of protein - for all those bee-body parts you see in the imago stage of the life cycle (although in the social insects this term may not be truly correct as it usually means sexually mature, which worker bees, very evidently, are not). They will also need carbohydrate for this rapid growth, some of the body parts and for the energy to metamorphose in the pupation stage.
I don't normally feed carbohydrate as there is plenty left in the combs, hopefully, in spring. I don't usually feed pollen, as they have copius amounts stored in-comb from the previous autumn and it is often very freely available in spring. I do 'feed' water, the one component they will have to import for brooding.
Should the weather become too cold, they will not have sufficient supply and the expansion will suffer, so water is a must. Often an external source can be used if warm enough and close enough.
I usually started them on sugar syrup (was told, and read, to use 1:1, to initiate spring brooding, years ago) but now soon dilute it more and more. An in-house feeder or an entrance feeder is often used up quite quickly.
I use an entrance feeder inside the Dartingtons, and this seems to be very effective as the water is seemingly just that little bit warmer than being 'hung' on the outside.
My Dartingtons are usually fairly sharp to start brooding in spring; I often insulate the side-walls and they have dividers fitted within the end walls - they are just so easy to expand in spring by moving the divider(s) back and slot in another frame or two.
I really only did this last season (diluting to near zero sugar concentration), so not fully tested, but fairly obvious when one considers the bees' brooding requirements in a little more detail. I have fed less dilute than 1:1 previously, though, as I could not see the point of feeding a lot of sugar when there were plenty of in-house supplies remaining from the autumn (which I wanted to be just about used up by the time of the OSR flow).
I obviosly would feed extra carbohydrate or protein as sugar syrup and pollen substitute if I found they were needing extra.
Hope that helps the 'thinkers', out there.
RAB