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This paper develops an efficient model for power system restoration after natural disasters based on AC power flow constraints. The objective is to derive the optimal restoration schedule in order to minimize the real power load interruptions in the post-disaster phase. The load criticality is represented by using the value of lost load which prioritizes the loads to be restored. A linear AC formulation is further proposed to allow the calculation of voltage angle and reactive power in the network, hence ensuring a more practical solution compared to DC power flow based models. Mixed-integer programming is used to formulate the proposed restoration model. Numerical analysis on the IEEE 118-bus test system demonstrates the effectiveness and the applicability of the proposed restoration model.