Optimal Design of Double Tuned Filter Using LAGRANGE interpolation method to Attenuate THD in Power System

Abstract

Nonlinear loads, including power electronic converters and arc furnaces, are now widely deployed across both industrial and residential settings. As the penetration of such loads increases, the harmonic currents injected back into the supply also grow, raising the total harmonic distortion (THD) and causing a range of faults in electrical equipment. Among the available mitigation techniques for current
harmonics is the double-tuned passive filter. This type of filter reduces reactive power by utilizing passive elements to supply local reactive power compensation at the fundamental frequency. This work presents an optimal design of a double-tuned filter using the Lagrange interpolation method to suppress harmonics within a power system. Lagrange interpolation is employed to obtain the filter’s optimal parameters. Simulation carried out in MATLAB SIMULINK confirms that the resulting design fulfill to recognized limits such as those of IEEE 519.