I don't think I see it already in the answers but the following website is one to follow if you want to know about correct identification with correct nomenclature of species: http://www.algaebase.org/
If you combine the one from the Canary islands (spanish), with the one from the European Atlantic and Mediterranean (you can also find these ones in english or french), you should be more or less cover.
I was working previously with the GEPEA Laboratory in Saint Nazaire (France), I can advise you to take a look on their website and get contact of those researchers; They are very advanced in microalgae field.