Transient Primary Control Effort of AC Electric Power Networks under Line Contingencies

Autor: Ph. Jacquod, Tommaso Coletta
Rok vydání: 2018
Předmět:
Zdroj: IFAC-PapersOnLine. 51:337-342
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2018.12.058
Popis: Classes of performance measures have been recently introduced to quantify the response of network-coupled dynamical systems to external disturbances. So far, investigations of these performance measures have been restricted to nodal disturbances. Here, we go beyond earlier works and consider the equally important, but so far neglected case of a line fault. We find that, within the DC power flow approximation, the transient primary control effort necessary to restore synchrony depends on whether the faulted line connects two passive, two active buses or one active to one passive bus. In all cases, performance measures depend quadratically on the original load on the faulted line multiplied by an inertia-dependent prefactor. When the faulted line is connected to at least one passive bus, this inertia-dependent prefactor further depends on the topology of the network. The procedure allows to rank lines in increasing order of the network response to their removal. Quite unexpectedly, we find that the most critical lines, corresponding to the largest network response, are not always those carrying the largest power flows, and that faulting moderately loaded lines often leads to large response due to the topology dependent prefactor. Our theoretical formalism is restricted to Dirac-δ perturbations and we investigate numerically the validity of our results for finite-time line faults. We find good agreement with theoretical predictions for longer fault durations in systems with more inertia.
Databáze: OpenAIRE