论文标题

$ \ Mathcal {n} -1 $应变限制的基于拓扑的近似值

Topology-based Approximations for $\mathcal{N}-1$ Contingency Constraints in Power Transmission Networks

论文作者

Gazafroudi, Amin Shokri, Neumann, Fabian, Brown, Tom

论文摘要

对于维持供应的安全至关重要,即使单线失败,传输网络仍将继续运行。建模$ \ MATHCAL {N} -1 $ Power System容量扩展问题中的安全性会引入许多额外的约束,如果所有可能的停机都被解释,这会导致较高的计算负担。避免这种负担的典型方法仅考虑与给定派遣情况相关的可能中断的一部分。但是,这依赖于事先知道调度局的情况,并且不适合未提前知道发电舰队的投资优化问题。在本文中,我们介绍了一种启发式方法,以使用较小数量的约束,以仅取决于传输网络的拓扑结构的方式来建模完全固定的$ \ MATHCAL {N} -1 $可行空间。在我们提出的方法中,通过比较从安全受限的线性化交流最佳功率流问题获得的节点净功率的可行空间的多元化来对网络的安全进行建模。为了近似此多层,在$ \ Mathcal {n} -0 $安全案例中为传输线定义了一个缓冲能力因子,从而避免了引入许多其他约束。通过这种方式,引入了三种方法,用于获得由近似,健壮和特定线的方法组成的缓冲能力因子。最后,我们提出的方法的性能以不同的传输网络尺度评估,以确定所提出的缓冲能力因素,应急分析和经济评估。此外,我们发现我们提出的启发式方法提供了完全固定的$ \ Mathcal {n} -1 $解决方案的出色近似值,其计算负担要低得多。

It is crucial for maintaining the security of supply that transmission networks continue to operate even if a single line fails. Modeling $\mathcal{N} - 1$ security in power system capacity expansion problems introduces many extra constraints if all possible outages are accounted for, which leads to a high computational burden. Typical approaches to avoid this burden consider only a subset of possible outages relevant to a given dispatch situation. However, this relies on knowing the dispatch situation beforehand, and it is not suitable for investment optimization problems where the generation fleet is not known in advance. In this paper, we introduce a heuristic approach to model the fully secured $\mathcal{N}-1$ feasible space using a smaller number of constraints in a way that only depends on the topology of transmission networks. In our proposed approach, the network's security is modelled by comparing the polytope of the feasible space of nodal net power obtained from the security-constrained linearized AC optimal power flow problem. To approximate this polytope, a buffer capacity factor is defined for transmission lines in the $\mathcal{N}-0$ secure case, thereby avoiding the introduction of many additional constraints. In this way, three approaches are introduced for obtaining a buffer capacity factor consisting of approximate, robust and line-specific approaches. Finally, the performance of our proposed approaches is assessed in different scales of transmission networks for determining the proposed buffer capacity factors, contingency analysis and economic evaluation. Moreover, we find that our proposed heuristics provide excellent approximations of the fully secured $\mathcal{N}-1$ solutions with a much lower computational burden.

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