Joost Bosman
Abstract
The advent of renewable energy sources has huge implications for the design and control of power grids. On the engineering side, reliability is currently ensured by strict con- straints on current, voltage and temperature. However, with growing supply-side uncertainty induced by renewables, these will need to be replaced by probabilistic guarantees, allowing constraints on a given line to be violated with a low probability, e.g., several minutes per year. In the present note we illustrate, using large deviations techniques, how replacing (probabilistic) current constraints by temperature constraints can lead to capacity gains in power grids.
- J. F. Bonnans and A. Shapiro. Perturbation analysis of optimization problems. Springer, 2000.Google Scholar
Cross Ref
- M. Cain, R. O'Neill, and A. Castillo. History of optimal power ow and formulations. Technical report, US Federal Energy Regulatory Commission, 2012.Google Scholar
- A. Dembo and O. Zeitouni. Large deviations techniques and applications. Springer, 1998.Google ScholarCross Ref
- E. Ela, M. Milligan, and B. Kirby. Operating reserves and variable generation. Technical report, National Renewable Energy Laboratory, 2011.Google Scholar
- W. Fu and J. McCalley. Risk based optimal power flow. In Proceedings of IEEE Porto Power Tech Conference, 2001.Google Scholar
- B. Hodge, S. Shedd, and A. Florita. Examining the variability of wind power output in the regulation time frame. Technical report, National Renewable Energy Laboratory, 2012.Google Scholar
- G. Huang, M. Mandjes, and P. Spreij. Limit theorems for reected Ornstein{Uhlenbeck processes. Statistica Neerlandica, 68(1):25--42, 2014.Google ScholarCross Ref
- A. Mills and R. Wiser. Implications of wide-area geographic diversity for short-term variability of solar power. Technical report, Lawrence Berkeley National Laboratory, 2010.Google Scholar
- H. Pender and W. Del Mar. Electrical engineers' handbook. Wiley, 1949.Google Scholar
- D. Phan and S. Ghosh. Two-stage stochastic optimization for optimal power ow under renewable generation uncertainty. ACM Transactions on Modeling and Computer Simulation, 24(1), 2014. Google ScholarDigital Library
- A. Shwartz and A. Weiss. Large deviations for performance analysis: Queues, communication and computing. CRC Press, 1995.Google Scholar
- T. Summers, J. Warrington, M. Morari, and J. Lygeros. Stochastic optimal power ow based on convex approximations of chance constraints, 2014. Under submission.Google Scholar
- W. Wadman, G. Bloemhof, D. Crommelin, and J. Frank. Probabilistic power ow simulation allowing temporary current overloading. In Proceedings of the International Conference on Probabilistic Methods Applied to Power Systems, 2012.Google Scholar
- W. Wadman, D. Crommelin, and J. Frank. Applying a splitting technique to estimate electrical grid reliability. In Proceedings of the Winter Simulation Conference, 2013.Google Scholar
- H. Wan, J. McCalley, and V. Vittal. Increasing thermal rating by risk analysis. IEEE Transactions on Power Systems, 14(3):815--828, 1999.Google ScholarCross Ref
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