To meet the general requirements for asymmetric short-circuit calculation in distribution networks, a study is conducted on the calculation method with inverter-based distributed generation (IBDG), considering the diverse characteristics of asymmetrical short-circuits caused by IBDG. This method establishes a universal model that is applicable to the equivalent of IBDG asymmetric short-circuit positive and negative sequences with various control objectives. The establishment of this model is based on the principle of positive and negative sequence current control with IBDG asymmetric short-circuit and the short-circuit current output characteristics with different control objectives, as well as the specific requirements of low voltage ride-through and current limiting control for IBDG output asymmetric short-circuit current. Based on this model, a universal asymmetric short-circuit equivalent circuit and calculation equation are established, and a general calculation process for short-circuit current occurring at any node of the distribution network with any asymmetric short-circuit for multiple IBDG control objectives is obtained. Finally, the proposed method is verified in a distribution network example, and the results show that the proposed method is correct and effective.