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Electric power distribution systems composed of power electronics converters are susceptible to instabilities under certain conditions. Small-signal impedance approaches to stability analysis are incapable of predicting large-signal stability properties. Herein, a practical and scalable genetic algorithm based procedure for the estimation of regions of asymptotic stability of power electronics systems is proposed. The procedure is demonstrated on six nonlinear models that range from 6 to 75 state variables. The models represent the dynamics of Naval power electronics-based system components and systems.