The document proposes a new power-saving protocol called the Hyper Quorum System (HQS) for ad hoc networks. HQS generalizes existing Quorum-based power-saving protocols by allowing nodes to select arbitrary cycle lengths for waking and sleeping, rather than restricting lengths. This allows each node to optimize its cycle for factors like remaining battery, packet delay tolerance, and drop ratio. The paper describes algorithms to generate two classes of HQS and find optimal cycle lengths. Analysis and simulation show the HQS protocols improve energy efficiency by up to 41% under heavy traffic while eliminating over 90% of delays under light traffic, compared to existing protocols.