An operational amplifier is one of the key functional blocks and is widely used in analog and mixed-signal circuits. For low-power consumption, many techniques such as class AB and slew-rate enhancement have been proposed. Although phase compensation is related to power consumption, it has not been clearly discussed from the viewpoint of the power consumption. In this paper, the conventional and the improved Miller compensations and the phase compensation by introducing a new zero are dicussed for low-power operational amplifiers.