Determining the number of redundant elements of the distribution network in compliance with the specified amount of information entropy

Abstract

Abstract A mathematical economic model for searching an optimal solution is proposed. In addition, a measure of information uncertainty is proposed to solve the problem the construction of a distribution network structure with the redundancy. In the model, there is an objective function for searching minimum costs and the equations for determining an information entropy of operable and non-operable states of the distribution network. The equations are based on the approaches of Ralph Hartley and Claude Shannon for entropy determination. An important place in the mathematical model is the process of constructing of a constraint function to search an optimal solution. The right part of constraints is entropy, its value reflects requirements to provide the required reliability level of power supply of the consumer. The left part is used to determine the connection entropy between an energy source and the consumer. An example of determining the number of redundant elements is offered.