Determination of Customer Number by Matrix Operations In Case of Network Failure

Abstract

Systems that can be modelled with a treestructured graph described in the current Article. In these models the nodes of the graph are the possible defective devices. The nodes at the lowest levels of the tree graph (also known as letters nodes) are the customers or consumers or end users. The number of the end users affected by the service outage due to the failure of certain nodes can be determined by a new low step new mathematical operation using matrices and graph theories as described in the paper.
The developed new method is described by applying the indicators of reliability of electricity service – known as SAIFI and SAIDI indicator in the international literature – and also the electricity system model created by AD&TE research group.