Hello Phil in Fiji, welcome to the forum !
Here's my number crunching for this, and some thoughts.
Your idea of stepping up the DC is a good one and has been done before. an idea that was posted (and I can't find on the old forum
) is to use the 1/2 section of stepping the DC side up to the 250DC. Use this as transmission for lower losses.
HOWEVER these voltages of
DC CAN BE LETHAL !! plus you haven't said how much you plan on trying to send down the wire or the wire size you plan on using to go 400 feet. THIS will make a big difference. At these distances either AC at 250V or DC at 250V the losses are pretty much the same, using a 12AWG wire will net you about the same losses, going with a good 1AWG would net you less loss.
I've done a few test trials of small sized (300 watt inverters) using one to step up to about 177VDC at battery end then stepping it back down at other end for eventual 120VAC output; they worked out nicely. I'd still have it up, but I now have a place for my panels that is less then 50 feet away so not longer necessary.
I still have to say, at these voltages DC can and will reach out to play tag
and needs every bit of respect it deserves and more. IT can be lethal !!!
YOU HAVE BEEN WARNED