Abstract
A mathematical analytical modeling of induced current for electronic anti-fouling technology is deduced in the present study, which can directly measure induced electric field generated by excitation coil. Based on the analytical expression of induced current, average power density is presented to measure the force of electronic anti-fouling system acting on the aqueous solution, and the functional relationship between average power density and electronic anti-fouling system parameters is established, which can be made as the basis of the system parameters optimizing. By discussing the functional relationship it can be found: 1 when excitation signal frequency is higher than a certain frequency value, the increase of excitation signal frequency can't help increasing average power density effectively; 2 the coil radius is shorter or coil turns are less then the average power becomes larger. Furthermore, for proving the correctness of the proposed analytical model of induced current, an exact 2D finite element method is used to calculate induced current in a real electronic anti-fouling system, and the finite element calculation results can fit well with the results calculated by the proposed analytical model of induced current.