Surgical systems with twist-lock battery connection

A surgical system comprises a handpiece and a battery. The handpiece includes a body and a handpiece connector operatively coupled to the body, the handpiece connector including a first coupler. The battery includes a housing, a rechargeable cell for storing an electric charge, and a battery connector operatively coupled to the housing, the battery connector including a second coupler configured to rotatably engage the first coupler. The second coupler receives the first coupler along an axis at an initial radial position where relative axial movement between the battery and the handpiece is permitted and permits rotation of the battery relative to the handpiece from the initial radial position to a first secured radial position and a second secured radial position. Relative axial movement between the battery and the handpiece is constrained in the first secured radial position and in the second secured radial position.