电网与天然气网络协同下配电网线路加固决策研究

燃气分布式发电机的配置与运行，对提高配电网应对自然灾害的能力具有重要作用，但同时也增加了配电网与天然气网络的相互依赖性，因此，考虑电网与天然气网络的协同运行显得尤为重要。本文对配置有燃气分布式发电机的配电网线路加固决策问题进行研究，考虑了线路受损的不确定性和电网与天然气网络协同运行，建立了具有三层结构的二阶段鲁棒优化模型。针对于天然气网络运行的非凸约束，采用二阶锥松弛将其松弛为二阶锥约束，并利用C&CG分解算法对模型进行求解。33节点-6节点的IEEE算例研究结果，表明了保证协同运行的关键配电线路具有加固的优先性，同时验证了考虑电网与天然气网络协同运行的合理性。

Research on Distribution Network Line Hardening Decision under the Cooperation of Power Grid and Natural Gas Network

Distribution network, located at the end of the power grid, is the direct link of power supply. However, frequent natural disasters have caused serious damage to the distribution network, resulting in large-scale and long-term power outage. The deployment and operation of distributed generation units with natural gas as energy plays an important role in improving the ability of distribution network to deal with natural disasters, but it also increases the interdependence between power grid and natural gas network. Therefore, it is particularly important to consider the cooperative operation of power grid and natural gas network. In this paper, a two-stage robust optimization model with a three-level optimization structure is proposed, which takes into account the uncertainty of line damage and the cooperative operation of power grid and natural gas network. Nonconvex natural gas flow constraints are relaxed into second-order cone (SOC) constraints, then the SOC-based column-and-constraint generation algorithm is employed to solve the proposed two-stage robust optimization problem. Simulations tested on 33-bus-6 node IEEE distribution test system show that the key distribution lines under the coordinated operation of power grid and natural gas network have a higher priority for hardening, and the rationality of considering the coordinated operation of power grid and natural gas network is verified.