In this paper a novel useful method to efficiently improve the angular stability of AMCs is introduced. Aiming to obtain an AMC with fixed design specifications (resonance frequency, proper bandwidth, maximum size and specific dielectric), the method relies on increasing the grid inductance through the introduction of lumped inductors. To date, lumped capacitors and/or inductors have been used to decrease the unit-cell dimensions. However, to the author's knowledge their potential applications on angular stability enhancement have not been explored yet. The proposed method is applied to non-angular stable AMC comprising square loop-based unit-cells on a RO4003C dielectric. The validity of the method is demonstrated not only through electromagnetic simulations but also using an equivalent circuit model which clearly explains the behavior of the AMC. Moreover, some guidelines are given in order to choose a proper lumped inductance. At the end, comparison with previous literature contributions shows the great potential of this method.