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Coordinating Multiple Sources for Service Restoration to Enhance Resilience of Distribution Systems (1810.06907v3)

Published 16 Oct 2018 in math.OC

Abstract: When a major outage occurs on a distribution system due to extreme events, microgrids, distributed generators, and other local resources can be used to restore critical loads and enhance resiliency. This paper proposes a decision-making method to determine the optimal restoration strategy coordinating multiple sources to serve critical loads after blackouts. The critical load restoration problem is solved by a two-stage method with the first stage deciding the post-restoration topology and the second stage determining the set of loads to be restored and the outputs of sources. In the second stage, the problem is formulated as a mixed-integer semidefinite program. The objective is maximizing the number of loads restored, weighted by their priority. The unbalanced three-phase power flow constraint and operational constraints are considered. An iterative algorithm is proposed to deal with integer variables and can attain the global optimum of the critical load restoration problem by solving a few semidefinite programs under two conditions. The effectiveness of the proposed method is validated by numerical simulation with the modified IEEE 13-node test feeder and the modified IEEE 123-node test feeder under plenty of scenarios. The results indicate that the optimal restoration strategy can be determined efficiently in most scenarios.

Citations (181)

Summary

Coordinating Multiple Sources for Service Restoration to Enhance Resilience of Distribution Systems

The paper "Coordinating Multiple Sources for Service Restoration to Enhance Resilience of Distribution Systems" presents a strategic approach to restoring critical loads in distribution systems following major outages caused by extreme events. The authors emphasize utilizing local resources, such as microgrids (MGs) and distributed generators (DGs), to achieve enhanced resiliency. A decision-making method is proposed to establish an optimal restoration strategy based on a two-stage framework.

Restoration Strategy and Methodology

In the first stage, the paper explores a graph-theoretic approach to determine the post-restoration topology. This involves modeling the target island as an undirected graph and selecting the minimum diameter spanning tree to ensure efficient power distribution with minimized losses and improved voltage profile.

The second stage leverages a mixed-integer semidefinite programming (MISDP) approach to address the critical load restoration problem. By maximizing the number of loads restored, weighted by priority, the problem formulation integrates complex operational constraints such as unbalanced three-phase power flow. The iterative algorithm proposed by the authors specifically targets integer variables by transitioning them into a semidefinite program (SDP) format, aimed at achieving global optimality in most scenarios.

Numerical Validation and Results

Validation of the proposed methodology is conducted through numerical simulations on modified IEEE test feeders (13-node and 123-node), covering various scenarios. The outcomes exhibit efficient determination of the restoration strategy, with strong numerical results indicating restored loads’ priority alignment. Noteworthy is the ability to optimize resource allocation from multiple sources, enhancing the robustness and resilience of distribution systems. The paper reports significant improvements in restored critical loads when coordinating multiple power sources.

Implications and Future Work

The implications of the research extend beyond immediate service restoration to involve broader aspects of distribution system resilience and operational efficiency. Practical applications include dynamic response to natural disasters and other disruptions that compromise grid integrity. Theoretically, the paper contributes to the field of grid operation under crisis conditions, proposing a scalable and adaptable framework.

For future research, the authors suggest expanding the model to incorporate multi-time-step restoration strategies considering generation resources' operational dynamics over extended outage periods. This extension would necessitate the integration of constraints related to generator ramping, energy storage state-of-charge, and mobility of resources. Moreover, dealing with uncertainties from renewable energy sources remains a critical challenge. Ensuring synchronization, managing transients, and addressing real-time control protections are pivotal considerations moving forward.

The paper lays foundational work for resilient distribution system development and offers a methodological leap towards integrated local resource coordination, highlighting the practical benefits of a strategic restoration mechanism.

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