Overview

The power grid can be considered one of twentieth-century engineering's greatest achievements and, as grids and populations grow, robustness is a factor that planners must take into account. Since the underlying physics is mathematically complex, and modeling is complicated by lack of accurate data, power grid robustness is a complex problem. This book sheds light on this problem by introducing the engineering details of power grid operations from the basic to the detailed; describing how to use optimization and stochastic modeling, with special focus on the modeling of cascading failures and robustness; providing numerical examples that show 'how things work'; and detailing the application of a number of optimization theories to power grids. As a result, it will be useful to both operations researchers wishing to learn about power grids, as well as power engineers seeking an in-depth understanding of optimization methodologies and the rigorous thinking used in optimization.

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9781611974157

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Daniel Bienstock is a Professor in the Department of Industrial Engineering and Operations Research, Columbia University, with a joint affiliation to the Department of Applied Physics and Applied Mathematics. Prior to joining Columbia University, Professor Bienstock was in the combinatorics and optimization research group at Bellcore. He has also participated in collaborative research with several industrial partners. He received the 2013 INFORMS Fellow Award, a Presidential Young Investigator Award, and an IBM Faculty Award and has given both a plenary address at the 2005 SIAM Conference on Optimization and a semi-plenary at the 2006 ISMP conference. His research focuses on optimization and high-performance computing, with a second focus on the use of computational mathematics in the analysis and control of power grids, especially the study of vulnerabilities and of cascading blackouts.

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