A note on transmission switching in electric grids with uncertain line failures

We consider the problem of identifying an optimal cost-efficient strategy for transmission line switching in electric grids under risk considerations associated with uncertain failures of multiple lines (arcs) in the network. Conditional value-at-risk constraints are utilized to restrict potential losses associated with unfavorable failure scenarios. Computational results for the standard IEEE 118-bus testbed are presented and discussed.

[1]  Stanislav Uryasev,et al.  Conditional Value-at-Risk for General Loss Distributions , 2002 .

[2]  J. M. Arroyo,et al.  A Genetic Algorithm Approach for the Analysis of Electric Grid Interdiction with Line Switching , 2009, 2009 15th International Conference on Intelligent System Applications to Power Systems.

[3]  S. Oren,et al.  Optimal Transmission Switching—Sensitivity Analysis and Extensions , 2008, IEEE Transactions on Power Systems.

[4]  Kory W Hedman,et al.  Co-Optimization of Generation Unit Commitment and Transmission Switching With N-1 Reliability , 2010, IEEE Transactions on Power Systems.

[5]  J. M. Arroyo,et al.  A Genetic Algorithm Approach for the Analysis of Electric Grid Interdiction with Line Switching , 2009 .

[6]  P. Krokhmal,et al.  Portfolio optimization with conditional value-at-risk objective and constraints , 2001 .

[7]  M. Shahidehpour,et al.  Transmission Switching in Expansion Planning , 2010, IEEE Transactions on Power Systems.

[8]  Anthony Papavasiliou,et al.  Economic analysis of the N-1 reliable unit commitment and transmission switching problem using duality concepts , 2010 .

[9]  Glyn A. Holton.  Value at Risk: Theory and Practice , 2003 .

[10]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[11]  M. Ferris,et al.  Optimal Transmission Switching , 2008, IEEE Transactions on Power Systems.

[12]  Arunabha Sen,et al.  Region-based connectivity - a new paradigm for design of fault-tolerant networks , 2009, 2009 International Conference on High Performance Switching and Routing.

[13]  Clayton W. Commander,et al.  Polynomial-time identification of robust network flows under uncertain arc failures , 2009, Optim. Lett..

[14]  S. Oren,et al.  Optimal transmission switching with contingency analysis , 2009, IEEE PES General Meeting.