Distributed risk-limiting service restoration for active distribution networks with networked microgrids

Chapter 12 proposes a distributed risk-limiting load restoration strategy for the unbalanced distribution system with networked microgrids. First, the risk is represented by the conditional value-at-risk (CVaR), based on which a risk-limiting load restoration model is formulated considering renewable and load uncertainties. Then, with the projection function-based ADMM and subadditivity of the CVaR, the proposed risk-limiting model is decoupled and solved in a distributed manner. The proposed strategy can restore loads efficiently with a smaller risk index, reduce computation burden, and is more robust against controller failures compared with the traditional centralized strategy. Also, it can provide distributed and flexible risk management.