In this article, an optimal design procedure of shunt RC damped LCL filter is discussed. The proposed design procedure finds the minimum damping resistance to guarantee the stability of the grid-current controller without affecting the effectiveness of the filter. This minimum value is derived using the factorized filter input admittance and filter forward transadmittance. The proposed factorization procedure allows us to have an analytical expression of system poles and zeros. Moreover, the minimum damping resistor is determined upon the desired crossover frequency and the desired phase margin of the grid-current controller. After that, an objective function is assumed, and an optimization problem is formulated to minimize the physical size of the filter by minimizing the total capacitance and inductance and by minimizing the filter ripple content as well. Accordingly, the proposed objective function minimizes the filter physical size and filter power losses and, hence, enhances filter's efficiency. A prototype demonstrates and validates the proposed filter design and analysis experimentally.
I. INTRODUCTIONP ASSIVE power-filters are utilized to interface voltage source inverters to the utility grid or electric loads in order to meet harmonics standards and improve power quality. The design and selection of the filter parameters are nontrivial due to many aspects such as the variable grid-inductance and the power quality constraints at the point of common coupling. A set of filter parameters may function well in the laboratory environment, but it may run into instability due to the shift of the filter resonance frequency or high quality factor (Q), which tends to amplify the system noise. Proper active [1]-[3] or passive-damping [4]-[9] selection and design of the power-filter improves control system stability and avoids the interaction between load and source impedances. On the contrary, improper active or passive-damping of the power-filter reduces the overall system efficiency due to the increase in damping power losses Manuscript