Inherent structural characteristics based approach for solving generation-load allocation problems

The topological properties of power networks emanate from the interconnections of the components within the networks. These structural properties can easily be captured by the network bus impedance or admittance matrix as formulated in the fundamental circuit theory law (Ohm´s law) for efficient allocation of electric energy among the consumers. In this paper, the solution to load allocation problems within power networks is considered using the inherent structural characteristics of power systems. A generalized coefficient matrix called Generation-Load Allocation (GLA) matrix which is a function of the network structural interconnections is formulated. This matrix is employed to determine the percentage allocation of power contribution by each generator to serve the various given loads on the network. The mathematical formulations based on the Ohm´s laws are presented. The simulations were carried out in Matlab 2010a environment. This study uses a practical power network of Nigerian 28-bus system for illustration and results are discussed.