In this paper, a modified differential evolution algorithm (MDE) is proposed for inserting asymmetrical nulls in various linear antenna array (LAA) configurations. The proposed algorithm optimizes the phase excitations of individual array elements for keeping nulls in any interfering direction. The MDE algorithm replaces the mutation factor in traditional differential evolution algorithm with normal mutation. Simulation results of several Taylor Profile Amplitude Distributed (TPAD) linear antenna array configurations are considered for keeping nulls at any prescribed direction.