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This paper proposes a coordinated emergency response scheme for the secure operation and mutual coordination of electricity-watershed networks under spatio-temporal heterogeneity and volatility of rainstorms. The risk interdependencies of water flooding and power outages across power distribution networks (PDNs) and watershed networks (WSNs) are formulated, and a rainstorm-triggered failure model is proposed to quantify the potential spatio-temporal outage risk of PDNs and WSNs. A hyperplane transformation based partition method is developed to extract the uneven spatial distribution and temporal variability of rainfalls. Then, a coupled electricity-watershed network model derived from Saint-Venant partial differential equations (PDEs) is formed to describe the load flow of PDNs and nonuniform hydrodynamic processes of WSNs under compounding impacts of rainstorm variability and failure occurrences. Furthermore, an optimal joint scheduling strategy is proposed to coordinate the dynamic PDN reconfiguration and WSN pump cluster drainage. In order to reduce the computational burden of original PDE-constrained emergency optimization problem, a progressive hedging-based accelerated solution algorithm combined with multiple equivalent linearization techniques is presented. Comparative results have demonstrated the effectiveness of the proposed scheme in reducing load shedding and mitigating flood damage losses.
Cao et al. (Mon,) studied this question.