A novel method for determining the maximum energy flows, passed though the electrical power systems under interval uncertainty

Abstract

Present paper is addressed to solve the maximum energy flow problem in electrical power systems under interval uncertainties. The solution is found by analysis of two main tasks, described by basic mathematical models of controlled electrical power systems: a single source – multiple recipients and multiple sources - multiple recipients. In the suggested method the graph theory is applied. The original models mentioned above transform to the basic graph model consists of a single source – a single recipient. A new interval method for obtaining the maximum energy flow in arbitrary system using interval channel capacities is suggested. The proposed procedures have simple realization and take a small volume of computation and time resources. Numerical example of electrical power system with single source and multiple recipients is solved. The paper finishes with conclusion remarks about application areas of the new method proposed for solving the maximum flow problem under interval uncertainties.