I’m not in a stat-seeking mood right now, but I’ve looked this up earlier and not only did some states have record voter turnouts, but those turnouts were heavily driven by unexpectedly high voter turnout among young people who voters for Sanders in high ratios.
For example, Wisconsin had about 48% voter turnout compared to 24% in 2012 and 34% in 2008 (this 25-ish for incumbent years and 35-ish for non-incumbent years holds back to 1980).
I talked about this in Nevada in another post. There you could see the extra voters beyond Obama’s big primary year were largely composed of young people who were voting for Sanders.
The data are scattered and hard to come by, it’s an article here and a exit polling report from CNN there. I think what I’ve seen supports Sanders bringing voters.