Hi Matthijs,
This is something I'm keenly interested in doing as well, and I know that it is at least possible using the API and a little extra data manipulation on the side. There's probably a more efficient way, but I query OpenAlex with my institution's ROR to get a list of articles for my institution. Then for each article, go through each author and iterate through their listed affiliations, comparing the ones listed against the ROR used to query. Then you can just augment your list of DOIs with the names (or ORCIDS) of your affiliated authors.
Best,
Kevin