TY - JOUR AU - Ronellenfitsch, Henrik AU - Manik, Debsankha AU - Horsch, Jonas AU - Brown, Tom AU - Witthaut, Dirk TI - Dual theory of transmission line outages JO - IEEE transactions on power systems VL - PP IS - 99 SN - 1558-0679 CY - New York, NY PB - IEEE M1 - FZJ-2017-04885 SP - 1 - 9 PY - 2017 N1 - Early online version AB - A new graph dual formalism is presented for the analysis of line outages in electricity networks. The dual formalism is based on a consideration of the flows around closed cycles in the network. After some exposition of the theory is presented, a new formula for the computation of Line Outage Distribution Factors (LODFs) is derived, which is not only computationally faster than existing methods, but also generalizes easily for multiple line outages and arbitrary changes to line series reactance. In addition, the dual formalism provides new physical insight for how the effects of line outages propagate through the network. For example, in a planar network a single line outage can be shown to induce monotonically decreasing flow changes, which are mathematically equivalent to an electrostatic dipole field. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000407854900068 DO - DOI:10.1109/TPWRS.2017.2658022 UR - https://juser.fz-juelich.de/record/835015 ER -