This study proposes a distributed load restoration method to effectively model and solve the load restoration problem of integrated power distribution and natural gas systems (IDGSs) after faults for resilient operation. The IDGS load restoration problem is devised as a mixed-integer second-order cone programming (MISOCP) model to minimize the total load loss cost of IDGS. This model considers distribution network reconfiguration and the coupling effect between the power distribution system (PDS) and natural gas system (NGS). Moreover, a bidirectional gas flow model is used to offer more flexibility for load restoration when the NGS is faulty. By considering the independent management and information privacy of each energy subsystem, the proposed model is solved using an alternating direction method of multipliers (ADMM) algorithm in a distributed manner. Furthermore, an adaptive-ADMM algorithm is used for convergence acceleration. Finally, numerical studies are conducted to validate the proposed method's effectiveness.

中文翻译：

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面向弹性的分布式配电和天然气系统分布式负载恢复方法


本研究提出了一种分布式负载恢复方法，可以有效地建模和解决综合配电和天然气系统（IDGS）故障后的负载恢复问题，实现弹性运行。 IDGS 负载恢复问题被设计为混合整数二阶锥规划 (MISOCP) 模型，以最小化 IDGS 的总负载损失成本。该模型考虑了配电网重构以及配电系统（PDS）和天然气系统（NGS）之间的耦合效应。此外，使用双向气流模型可以在NGS出现故障时为负载恢复提供更大的灵活性。考虑到每个能源子系统的独立管理和信息隐私，所提出的模型采用分布式乘子交替方向法（ADMM）算法进行求解。此外，自适应 ADMM 算法用于加速收敛。最后，进行数值研究来验证所提出方法的有效性。