1. A method for restoring continuity in a distribution network including a plurality of interconnected buses and switch devices, the method comprising: deriving a probability model for power injections at each of the plurality of interconnected buses, the power injections comprising power consumption and power generation at individual buses, the probability model being derived from historical measurements of power injections; deriving a plurality of possible network topologies from a plurality of possible statuses of the switch devices as either open or closed, wherein pairs of buses connected by closed switches in the possible network topologies are treated as connected by zero impedance lines; receiving real time sensor measurements of electrical quantities in the distribution network; selecting, from the plurality of network topologies, a network topology most likely to produce the real time sensor measurements, the selecting being based on the probability model; based on the network topology most likely to produce the real time sensor measurements, making an identification of a normally closed switch device of the switch devices having an open status; and restoring continuity in the distribution network based on the identification of the normally closed switch device having an open status.