  Mobile energy storage systems (MESS) offer great operational flexibility to
enhance the resiliency of distribution systems in an emergency condition. The
optimal placement and sizing of those units are pivotal for quickly restoring
the curtailed loads. In this paper, we propose a model for load restoration in
a microgrid while concurrently optimizing the MESS routes required for the
same. The model is formulated as a mixed integer second order cone program by
considering the state of charge and evolution of the lower and upper bounds of
battery capacities. Simulation results tested on the IEEE 123- bus benchmark
system demonstrate the efficacy of the proposed model.
