"compelling set of" is correct and usable in written English
You can use it when you want to describe something as convincing and persuasive. For example, "The CEO's speech was backed up by a compelling set of facts and figures."
"They presented me with a compelling set of facts".
At Apple's Manhattan store, he spun a compelling set of music using five iPods.
I anticipate the review will set out a clear, credible, compelling, set of arguments for alternatives.
There was no compelling set of issues and no overwhelming set of social forces that made the death of the Liberals inevitable.
While it might not have the immediacy of their previous release, Snakes and Arrows, this is the three-piece's most solid and compelling set of songs in years.
"This is absolutely a moment in which culture and science are side by side, providing the opportunity to create an enriched and compelling set of experiences.
Restraint is perhaps not the right description of David Del Tredici, but he wrote a compelling setting of "What Lips My Lips Have Kissed" by Edna St . Vincent Millay the accompaniment racing upward in gasps of memory.
To start, there was "Brandenburg," Jerome Robbins's last ballet and one of his most compelling, set to excerpts from the third, second, first and sixth concertos.
Many of these are genuinely historic recordings, but then this compelling set is full of such treasures, and at less than £2 per disc it is a wonderful bargain.
While they look fabulously natty with their pressed pocket squares and razor-sharp blazers, their images are all the more compelling set against a background of abject poverty -- in streets crowded with trash and half-dressed children, the peacocks strut.
In any case, rewards come in the form of such compelling set pieces as a lively drinking trio for Nekrotzar (who imagines he is drinking blood, not wine), Astradamors and Piet the Pot, a drunk pressed into Nekrotzar's service, and a big orchestral interlude constructed on the rhythm of the bass line of the last movement of Beethoven's "Eroica" Symphony.
