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Fast Contingency Evaluation Using Concentric Relaxation
Abstract
A fast method for evaluating contingencies either in real time in an actual emergency or for security monitoring is introduced. This method begins with treating the system or a piece of it (a float) as electrically rigid and then gradually relaxing the results tier by tier to account for the actual flexibility of the transmission. The diagonally dominant or dispersive nature of the power system is utilized. Speed of computation is derived from this exploitation of the structure of the problem which also allows explicit solutions for the intermediate steps. Solutions can be obtained in the vicinity of the contingency or at secondary sites like weak cutsets within the system. Computer illustrations of the method are provided and the convergence of the proposed algorithms is proven. No "equivalent" network is used.
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Citations
Cited by
Security analysis and optimization
Stott, B., Alsac, O., & Monticelli, A. J. (1987) · Proceedings of the IEEE · doi:10.1109/proc.1987.13931 · Cited by 553
Tomsovic, K., Bakken, D. E., Venkatasubramanian, V., & Bose, A. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2005.847249 · Cited by 324
Modeling Cyber-Physical Vulnerability of the Smart Grid With Incomplete Information
Srivastava, A., Morris, T., Ernster, T., Vellaithurai, C., Pan, S., & Adhikari, U. (2013) · IEEE Transactions on Smart Grid · doi:10.1109/tsg.2012.2232318 · Cited by 169
Metadata
- Authors
- Zaborszky, J., Whang, K.-W., & Prasad, K.
- Venue
- IEEE Transactions on Power Apparatus and Systems
- Published
- 1980-01
- Volume
- PAS-99
- Issue
- 1
- Pages
- 28-36
- ISSN
- 0018-9510 (ISSN-L)
- OpenAlex
- W2079770291
- Cited by
- 166
- References
- 0
- FWCI
- 3.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Fast Contingency Evaluation Using Concentric Relaxation. https://app.cochat.ai/papers/10.1109/tpas.1980.319605
- The paper
- Zaborszky, J., Whang, K.-W., & Prasad, K. (1980). Fast Contingency Evaluation Using Concentric Relaxation. IEEE Transactions on Power Apparatus and Systems. https://doi.org/10.1109/tpas.1980.319605
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
