A system, in certain embodiments, includes an accumulator. The accumulator includes a first cylinder configured to receive a fluid within an internal volume of the first cylinder. The accumulator also includes a piston configured to move axially within the first cylinder. Axial movement of the piston within the first cylinder adjusts the internal volume of the first cylinder. The accumulator further includes a plurality of shape memory alloy wires configured to cause the axial movement of the piston within the first cylinder.