We show that the existence of a precipitous ideal over the successor of some limit cardinals implies the existence of some large cardinals, in the sense of consistency. Moreover we use the same technique to evaluate the consistency strength of precipitousness of Woodin's stationary tower.
Yasuo YOSHINOBU. "On strength of precipitousness of some ideals and towers." J. Math. Soc. Japan 51 (3) 535 - 541, July, 1999. https://doi.org/10.2969/jmsj/05130535