Fuoco,
i would define a 'simple tremolo' simply as a trill in a wider position. Whilst a 'double tremolo' would be a tremolo with two notes played simultaneously on one or both sides of the trill.
Hanon does not help you with this, as there is a long piece of tremolo, but nowhere does he explain how to do it. Does he help with anything?? (another question..)
these tremolos must not tire you out! I can tell you some things I would try, by all means try it, reject it, approve it, whatever works!
-finger articulation plays little or no part in this, rather its a sort of coming and going movement of the arm or wrist that is communicated to the fingers
-don't practise the whole passage, cut it up into manageable sections, try small groups of fast notes
-don't practise F, practise p or pp, you can add the volume later
-practise only left hand, dont practise the passage hands together if your left hand feels like lead, because that wont change much
-group notes by rhythms of 3 so as to change the accent each time, and then by 4, 5, 6, 7, 8. And start on top note and then on bottom note.
-i wouldn't exaggerate any movements
-there are similar passages in many pieces, so its worth mastering this. off the top of my head, Op27/2 Presto left hand tremolo, Debussy Prelude 'Vent d'Ouest' right hand tremolo, Liszt 'Vision', 'Chasse Neige': tremolos everywhere!
good luck, hope i did not go too much off topic!
ed