Optimizing the operation of energy storage embedded energy hub concerning the resilience index of critical load

•In addition, to minimize the total cost of the energy hub, the proposed approach increases the resiliency of the critical loads.•It determines the share of CNCLs fed by the energy hub's input carriers.•In addition to the heating/cooling/electrical system efficiency, the losses attributed to the energy storage devices are also considered.•Use a comprehensive scheme of energy hubs to increase the resiliency.•Classification of non-critical loads to supplied and non-supplied.