Embedded Acoustic Black Holes (ABH) have been investigated as a passive treatment for noise and vibration control. The ABH effect is produced from a plate thickness power taper which results in a local asymptotic reduction of wave speed within the ABH. Theoretically the local wave speed approaches zero at the ABH center, causing the waves to take an infinite amount of time to reach the center, thus the waves are "trapped" in the black hole. This work focused on the low frequency performance of plates with periodic grids of ABHs for structural vibration and radiated sound reduction. Plates with embedded ABH grids were modeled with detailed Finite / Boundary Element models. The results show the ABHs reduce the narrow band vibration and radiated sound power by up to approximately 20 dB or more over that of the heavier uniform panel, at frequencies below the theoretical cut-on of the ABH as a broadband absorber. The low frequency performance of the ABH grids can be tailored based on the low frequency vibration characteristics of the ABH unit cell. Detailed results for several ABH plate configurations are presented giving insight into key ABH low frequency design performance characteristics.