Recently, the resilient operation of distribution networks has attracted attention owing to the considerable
growth in natural disasters. After isolating the faulted or damaged areas, restoring the intact parts is challenging.
This can be exacerbated by high penetration of renewable resources. During the restoration, the access to
available resources is limited by time, production capacity, or stored energy. Therefore, a balance must be made
while considering load criticality. Accordingly, a new distribution restoration process is proposed in this paper to
overcome these challenges while considering switching sequence. To be accounted for real-world cases, a new
binary-based segmentation model is developed for multiple-transformer bus loads. Besides, a novel bus load
supply prioritization is proposed to overcome the drawbacks of previous methods which have used weighting
factors in the objective function. Also, a new energy-based objective function is developed, taking the degree of
energy available from distributed generation and storage resources into account. Besides benefiting from
network reconfiguration and stationary energy storage systems, integration of modern storage-integrated soft
open points is also modeled and considered. The model is validated through a case study, demonstrating its
functionality to deal with real-world cases with load priority steps, multiple-transformer bus loads, and limited
energy access.