A system, in certain embodiments, includes an accumulator having a first plate with a first plurality of holes and a second plate with a second plurality of holes. The second plate is positioned at an offset from the first plate, and the second plate is moveable relative to the first plate to adjust a fluid pressure. The accumulator also includes a plurality of shape memory alloy wires extending between the first and second plates, wherein the plurality of shape memory alloy wires extend through the first and second plurality of holes.