Topology-based approximations for N− 1 contingency constraints in power transmission networks

作者: Amin Shokri Gazafroudi , Fabian Neumann , Tom Brown

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摘要: It is crucial for maintaining the security of supply that transmission networks continue to operate even if a single line fails. Modeling 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 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 modeled by comparing the polytope of the feasible space …

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