Classification of networks based on inherent structural characteristics

Abstract

This paper seeks to identify and classify power system networks based on their inherent definitive structural property. The participation between the load buses is observable from the eigenvectors obtained from a Schur complement of the Y-admittance matrix. This is used to classify power system networks as either topologically strong or weak. Results show that in a topologically weak network, load voltages are below the nominal voltage limit. Conversely, in a topologically strong network they are above the nominal limit.

Reactive Power Reserve Improvement Using Power Systems Inherent Structural Characteristics

“…The corresponding left eigenvectors (matrix M) in this case will have column vectors with constant values, indicating non-participation between the network buses. This indicates a topologically weak (ill conditioned) network [5]. As previously discussed, topologically weak network have low voltages [5].…”

“…This indicates a topologically weak (ill conditioned) network [5]. As previously discussed, topologically weak network have low voltages [5]. Buses associated with the smallest eigenvalues indicate where reactive power support are required [20].…”

“…The degree of sufficiency of the reactive elements dependent on the participation between the network buses observable from the eigenvectors of matrix M. Networks that exhibit such characteristics are topologically strong networks [5]. As already mentioned, such networks have adequate voltages.…”

“…Transmission networks with excess reactive power are in general topologically strong networks and have network bus voltages that are very high beyond the nominal limit. On the other hand, topologically weak (ill conditioned) networks, which are in deficit of reactive power, have low voltages below the nominal limit [5]. Therefore, there is the need to balance the amount of reactive power in a network against the desired voltage operating limits [6].…”

Visualizing the Electrical Structure of Power Systems

“…This is an example of spectral graph theory [54], whose application to power system problems has only recently emerged [35,61,[73][74][75][76].…”