Techniques are provided for operating non-volatile storage. Peak current consumption may be reduced in connection with sensing non-volatile memory cells. Peak current consumption may be reduced when a first read condition is present. In one aspect, the value of a parameter of a voltage that is applied to a word line during a pre-read phase of a sense operation is controlled in order to reduce peak current consumption when the first read condition is present. Examples of the parameter include a ramp rate, a number of intermediate voltage levels, and a start time.
展开▼