How do I convince an Oncidium to bloom?

[DanielBear]

I have an Oncidium, have had it about 7 years. Based on web pictures I suspect it's Gower Ramsey, but not certain. It rebloomed during year two and year three, but never since then. Last august it was looking droopy so I repotted it, cut off some backbulbs and potted them, and they've each grown new pseudobulbs. So I think I have the growing part down OK. It has 8 mature pseudobulbs, all with healthy leaves, each bigger than the last.

Each time I think it's producing a new flower stalk, it's a new vegetative growth. The pseudobulbs get larger and larger with each new growth. I use the weekly-weakly method for fertilizing, with Schultz Orchid food, this is 19-31-17. I thought it might be too much nitrogen so I changed to Gro-More bloom formula which is 6-30-30. It's in a south window, but this time of year the noon sun is very high in the sky so it doesn't get full sun during the brightest hours due to roof overhang. When it bloomed previously, it was in an East window and frankly was neglected. Maybe that is the key.

There is another new growth that is vegetative, and an additional one Im not sure about yet, but give past performance, Im not getting my hopes up yet.

Are there things I should change? No plant food at all? I usually do use rain water in the mix. The potting mix was commercial, it had fertilizer pearls in it, but I imagine those are long gone now, it's been a year. Does it need a dry spell? Is day length an issue? Not enough light could be a factor, but really it's getting more than it did in the past, the leaves are grassy green, and moving it outside resulted in sunburn on 2 leaves - but it still has lots of healthy nonsunburned leaves.

Thanks for your advice. I'm pleased that I haven't killed it, but there are lots of types of green plants, and I would like for this one to bloom