Distributionally Robust Distribution Network Configuration Under Random Contingency

Abstract

Topology design is a critical task for the reliability, economic operation, and resilience of distribution systems. This paper proposes a distributionally robust optimization (DRO) model for designing the topology of a new distribution system facing random contingencies (e.g., imposed by natural disasters). The proposed DRO model optimally configures the network topology and integrates distributed generation to effectively meet the loads. Moreover, we take into account the uncertainty of contingency. Using the moment information of distribution line failures, we construct an ambiguity set of the contingency probability distribution, and minimize the expected amount of load shedding with regard to the worst-case distribution within the ambiguity set. As compared with a classical robust optimization model, the DRO model explicitly considers the contingency uncertainty and so provides a less conservative configuration, yielding a better out-of-sample performance. We recast the proposed model to facilitate the column-and-constraint generation algorithm. We demonstrate the out-of-sample performance of the proposed approach in numerical case studies.

Distributionally Robust Microgrid Formation Approach for Service Restoration Under Random Contingency

“…This assumption is based on the fact that the value of MG with DGs to enhance system resilience has been recognized [12], [30]. Under this assumption, the set of MGs id denoted by M, and each MG m∈M consists of set of nodes.…”

“…(29) guarantees that the energization agent can only travel between the nodes that are connected by a line switch. (30) guarantees that a node can only be visited by one restoration path in an MG. Constraint (31) indicates that a downstream node can be restored only when its corresponding upstream node is restored, which guarantees that the structure of MGs is a radial network.…”

“…According to [30], there exists a ℙ ̂ that strictly satisfies (56.b) and (56.c). Thus, the Slater's condition holds between the problem (56) and the following dual formulation: max ( , ) ' 0, ( , ) ' max .…”

“…However, the RO approach focuses on the worst-case scenario and completely neglects the probabilistic characteristics of contingencies, which may yield over-conservative solutions. For the uncertain contingency, an ambiguity set of contingency probability distributions that satisfy the N-k security criterion can be constructed, and the proposed model can be solved by the distributionally robust (DR) method [28][29][30]. Compared to the RO, the DR focuses on the probability of contingency occurring.…”

Consumer appliance‐level load shedding optimisation for real‐time application

“…Abdelwahid et al [11] verified the effectiveness of UFLS scheme implemented in real-time through hardware implementation and simulations. Babaei et al [12] developed an algorithm to handle LS implementations especially during natural disasters taking the uncertainty of contingencies into consideration. Also, Yaun and Xu [13] proposed a method for preventive-coordinated LS considering power supply uncertainties.…”