# Rolling Optimization of Mobile Energy Storage Fleets for Resilient Service Restoration

## TL;DR

This paper develops a rolling optimization strategy for mobile energy storage fleets to improve distribution system resilience by coordinating resource dispatch, network reconfiguration, and accounting for uncertainties in damage and repair scenarios.

## Contribution

It introduces a stochastic multi-layer time-space network model and a rolling optimization framework for dynamic, coordinated scheduling of MESS fleets in resilient service restoration.

## Key findings

- Effective coordination of MESS improves system resilience.
- The model handles uncertainties via scenario trees.
- Demonstrated on two complex test systems.

## Abstract

Mobile energy storage systems (MESSs) provide promising solutions to enhance distribution system resilience in terms of mobility and flexibility. This paper proposes a rolling integrated service restoration strategy to minimize the total system cost by coordinating the scheduling of MESS fleets, resource dispatching of microgrids and network reconfiguration of distribution systems. The integrated strategy takes into account damage and repair to both the roads in transportation networks and the branches in distribution systems. The uncertainties in load consumption and the status of roads and branches are modeled as scenario trees using Monte Carlo simulation method. The operation strategy of MESSs is modeled by a stochastic multi-layer time-space network technique. A rolling optimization framework is adopted to dynamically update system damage, and the coordinated scheduling at each time interval over the prediction horizon is formulated as a two-stage stochastic mixed-integer linear program with temporal-spatial and operation constraints. The proposed model is verified on two integrated test systems, one is with Sioux Falls transportation network and four 33-bus distribution systems, and the other is the Singapore transportation network-based test system connecting six 33-bus distribution systems. The results demonstrate the effectiveness of MESS mobility to enhance distribution system resilience due to the coordination of mobile and stationary resources.