Methods and apparatuses are provided for power control in a processor. The apparatus comprises a plurality of operational units arranged as a group of operational units. A power consumption monitor determines when cumulative power consumption of the group of operational units exceeds a threshold (e.g., either or both of the cumulative power threshold and the cumulative power rate threshold) during a time interval, after which a filter for issuing instructions to the group of operational units suspends instruction issuance to the group of operational units for the remainder of the time interval. The method comprises monitoring cumulative power consumption by a group of operational units within a processor over a time interval. If the cumulative power consumption of the group of operational units exceeds the threshold, instruction issuance to the group of operational units is suspended for the remainder of the time interval.