Reconstruction of a topology of an electrical distribution network

System for reconstructing a topology of an electrical distribution network having nodes to which smart meters are connected, the system comprising a processing unit having a processor and a memory in communication with the processor, the memory containing instructions which, when executed by the processor, cause the processor to perform the steps of:

• (i) generating an ohmic matrix model of the distribution network as a function of consumption measurements provided by the smart meters, the ohmic matrix model having matrix terms indicative of resistive quantities between the nodes and a root to which a distribution transformer of the distribution network is connected;
• (ii) defining a tree table of the nodes;
• and
• (iii) by sequences of decreasing values derived from the resistive quantities of the ohmic matrix model and iteratively for the nodes to enter in the tree table:
• (a) defining a new branch as branch in exploration in the tree table;
• (b) entering the node having the highest resistive quantity as terminal node of the branch in exploration in the tree table;
• and
• (c) entering in the tree table, in successive upstream positions from one another towards the root, all the nodes other than the terminal node meeting preestablished decision criteria as a function of connection values derived from the resistive quantities and, as other nodes are progressively entered for the branch in exploration, with said other nodes, one of the preestablished decision criteria determining a junction of a last node entered in the tree table with a branch already explored depending on whether the resistive quantity of the last node corresponds, within a preset sensitivity margin, to a node of an explored branch or to a position between two nodes of a branch already explored, another one of the preestablished decision criteria determining a connection of the last node to the root;
• the topology of the distribution network being reconstructed when all the nodes are associated with a branch in the tree table and at least one node or a junction is connected to the root.

Tangible and non-transitory computer program product for reconstructing a topology of an electrical distribution network having nodes to which smart meters are connected, the product containing instructions which, when executed by a processor, cause the processor to perform the steps of:

• (i) generating an ohmic matrix model of the distribution network as a function of consumption measurements provided by the smart meters, the ohmic matrix model having matrix terms indicative of resistive quantities between the nodes and a root to which a distribution transformer of the distribution network is connected;
• (ii) defining a tree table of the nodes;
• and
• (iii) by sequences of decreasing values derived from the resistive quantities of the ohmic matrix model and iteratively for the nodes to enter in the tree table:
• (a) defining a new branch as branch in exploration in the tree table;
• (b) entering the node having the highest resistive quantity as terminal node of the branch in exploration in the tree table;
• and
• (c) entering in the tree table, in successive upstream positions from one another towards the root, all the nodes other than the terminal node meeting preestablished decision criteria as a function of connection values derived from the resistive quantities and, as other nodes are progressively entered for the branch in exploration, with said other nodes, one of the preestablished decision criteria determining a junction of a last node entered in the tree table with a branch already explored depending on whether the resistive quantity of the last node corresponds, within a preset sensitivity margin, to a node of an explored branch or to a position between two nodes of a branch already explored, another one of the preestablished decision criteria determining a connection of the last node to the root;
• the topology of the distribution network being reconstructed when all the nodes are associated with a branch in the tree table and at least one node or a junction is connected to the root.