Since way before Chernobyl, the US has been operating LWR and PWR designs, which have a negative void coefficient and therefore can be built to be passive-safe[2]. Correspondingly, no deaths have ever been directly attributed to failure of a production LWR or PWR.
[0] https://www.iaea.org/sites/default/files/25204744759.pdf (page 51)
[1] http://articles.latimes.com/1986-05-02/news/mn-3039_1_cherno...