Reliability Analysis of Electrical Power System Using Graph Theory and Reliability Block Diagram

The work deals with reliability modelling and evaluation of reparable power system using graph theory and Reliability Block Diagram (RBD). Increasing in electrical energy demand and insufficient investments in power system infrastructures are the main factors that constrain engineers to operate electrical systems close to their safety limits under constrained operational conditions. Indeed, in order to be able to exploit their power systems with reduced security margins without significant operating safety deterioration, managers are looking for new tools in a way to reduce the blackouts probability. This objective could be accomplished by online analysis of electrical system security and reliability. In this work, we propose as a solution to this problem a new tool for classifying buses according to their reliability with the consideration of the engaged plants to satisfy the load for a given period. So, a methodology based on graph theory is presented resulting by developing a program under MATLAB environment which is applied on the IEEE 9 bus test system. Once classified, the reliability in each bus is evaluated using RBD method. The obtained results are very promising.