Simple rules for the application of series voltage sources in power transmission systems

This paper addresses the influence of the network characteristics of transmission systems on the use of a number of series voltage sources for the regulation of power flows on the transmission lines. The relationship between the number of independent voltage sources and the number of nodes and branches in the network is discussed. State-space and small-signal techniques are employed to explore the interactions among series voltage sources, taking place through the network, and to demonstrate the viability of a simple rule, called the smallest tree-impedance rule, for selecting locations of the series voltage sources in a network of any size, from the point of view of minimising interactions.