The stationary current induced by a strong running potential wave in one-dimensional system is studied. Such a wave can result from illumination of a straight quantum wire with special grating or spiral quantum wire by circular-polarized light. The wave drags electrons in the direction correlating with the direction of the system symmetry and polarization of light. In a pure system the wave induces minibands in the accompanied system of reference. We study the effect in the presence of impurity scattering. The current is an interplay between the wave drag and impurity braking. It was found that the drag current is quantized when the Fermi level gets into energy gaps.Two main sources of the stationary photocurrent in homogeneous systems are known: light pressure (photon drag) [1] and photogalvanic [2], [3], [4] or ratchet effect. In the first case photons transmit their momenta to electrons and directly accelerate electrons, in the second case the light serves as an energy source, while the acceleration originates from a third body (impurities, phonons etc.), and the current direction correlates with the polarization of light via material tensors.A related phenomenon is the electron drag by a surface acoustic wave (SAW) [5],[6],[7],[8],[9], [10],[11], [12]. The wavelength of SAW is large as compared with electrons, so the periodicity is less important and electrons are treated as captured into dynamic quantum dots formed by potential minima. The discreteness of electrons leads to the SAW drag quantization. The quantization exists both with and without e-e interaction. If the wave amplitude is weak enough the quantum dots can not keep electrons and the picture fails.In recent papers [13,14] we have studied the electron drag by circular-polarized electromagnetic field in curved quantum wires, particularly, in quantum spirals. In such systems the electric field of a long external electromagnetic wave is converted to an effective short wave propagating along the wire. The wave drags electrons. The effect resembles the travelling-wave tube with the difference that the field remains almost uniform while the acting component of this field projected to the wire has a short wavelength. Besides, the effect takes place in a solid instead of vacuum.We have considered the problem in the limit of weak field. It was also found that strong field bunches electrons in the potential minima, forcing them to move with the phase speed of the wave.It should be emphasized that an effective wave can be produced in different ways, for example in the same way as in the travelling-wave tube, using metallic or dielectric spiral grating and straight quantum wire along the spiral axis. These inhomogeneous dielectric properties pro-duce non-uniformity of local electric field and form the running wave. Such a construction permits to use not an exotic system like semiconductor spiral quantum wire [15,16], but more realistic systems: straight quantum wires together with spiral spacial field modulators. Another more simple design is a double grating...