For American pancakes, my mom would always warm a plate or two in the oven, and then stash them in there as they were done cooking ... but American pancakes don't suffer as much from losing a crispy edge, and you'd run the risk of them steaming. You might be able to counter this somewhat by a clean towel in between them.
When I do dutch pannekoeken, which are really similar to swedish pannkakor (which I assume is what you mean by 'swedish pancake' and not plättar, as you mention 'stack'), I find that they keep their texture better if I roll them up as I make them, and then put the rolls on the plate in the oven. This results in more surface area exposed in the oven, and they won't steam quite as quickly.
The only other suggestion I have is that if you're not already -- cook two at a time. It requires getting the temperature dialed in correctly on both pans, but you basically coat one pan, then the other, wait about 30 seconds (depends on how dark you like 'em), flip the first, count to about 15, flip the second. (It might be possible for some people to do three at a time, but I only have two pans that are appropriate, and I wouldn't be able to fit a third pan that size on my stove) This might not work if you've got something else on the stovetop at the same time, but if it's pea soup, you could get that done earlier, and move it to the oven to keep warm.