Piston pump with at least one piston element

A piston pump comprising:

• at least one piston element situated in longitudinally moving fashion in a housing and driven by a drive unit, a first pressure chamber, delimited by the at least one piston element and at least one component affixed to the housing, connected to a suction region of the pump via an inlet valve device and operationally connected to a delivery side of the pump via an outlet valve device, and a compensation piston unit, driven by the drive unit, having a working piston chamber connected to the delivery side of the pump,
• wherein the first pressure chamber of the piston pump has a stroke volume that is twice a size of a stroke volume of the working piston chamber,
• wherein the at least one piston element and the at least one component affixed to the housing delimit a second pressure chamber which is connected to the suction region of the pump and is operationally connected to the first pressure chamber during a suction stroke of the at least one piston element,
• wherein the second pressure chamber has a volume that varies by half the stroke volume of the first pressure chamber as a function of a movement of the piston element, and expands during a delivery stroke of the at least one piston element that decreases the volume of the first pressure chamber, and
• wherein the at least one piston element is embodied as a hollow deep-drawn component, the second pressure chamber is situated between an outer circumferential surface of the at least one piston element and the at least one component affixed to the housing and communicates with an inner chamber of the at least one piston element via at least one opening in the circumferential surface of the at least one piston element, which inner chamber is connected to the first pressure chamber via the inlet valve device.