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Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
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MATHEMATICAL
SCIENCES RESEARCH
CHALLENGES FOR THE
NEXT-GENERATION
ELECTRIC GRID

SUMMARY OF A WORKSHOP

Michelle Schwalbe, Rapporteur

Committee on Analytical Research Foundations for the
Next-Generation Electric Grid

Board on Mathematical Sciences and Their Applications

Division on Engineering and Physical Sciences

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Washington, DC

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Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

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This study was supported by Contract No. DE-PI000010/DE-DT 0005900 between the National Academy of Sciences and the Department of Energy. Any opinions, findings, or conclusions expressed in this publication are those of the author(s) and do not necessarily reflect the views of the organizations or agencies that provided support for the project.

International Standard Book Number-13: 978-0-309-37856-7
International Standard Book Number-10: 0-309-37856-7

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Suggested citation: National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press.

Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

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The National Academy of Sciences was established in 1863 by an Act of Congress, signed by President Lincoln, as a private, nongovernmental institution to advise the nation on issues related to science and technology. Members are elected by their peers for outstanding contributions to research. Dr. Ralph J. Cicerone is president.

The National Academy of Engineering was established in 1964 under the charter of the National Academy of Sciences to bring the practices of engineering to advising the nation. Members are elected by their peers for extraordinary contributions to engineering. Dr. C. D. Mote, Jr., is president.

The National Academy of Medicine (formerly the Institute of Medicine) was established in 1970 under the charter of the National Academy of Sciences to advise the nation on medical and health issues. Members are elected by their peers for distinguished contributions to medicine and health. Dr. Victor J. Dzau is president.

The three Academies work together as the National Academies of Sciences, Engineering, and Medicine to provide independent, objective analysis and advice to the nation and conduct other activities to solve complex problems and inform public policy decisions. The Academies also encourage education and research, recognize outstanding contributions to knowledge, and increase public understanding in matters of science, engineering, and medicine.

Learn more about the National Academies of Sciences, Engineering, and Medicine at www.national-academies.org.

Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

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Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

COMMITTEE ON ANALYTICAL RESEARCH FOUNDATIONS
FOR THE NEXT-GENERATION ELECTRIC GRID

JOHN GUCKENHEIMER, Cornell University, Co-Chair

THOMAS J. OVERBYE, University of Illinois, Urbana-Champaign, Co-Chair

DANIEL BIENSTOCK, Columbia University

ANJAN BOSE, Washington State University

TERRY BOSTON, PJM Interconnection, LLC

JEFFERY DAGLE, Pacific Northwest National Laboratory

MARIJA D. ILIC, Carnegie Mellon University

CHRISTOPHER K. JONES, University of North Carolina, Chapel Hill

FRANK P. KELLY, University of Cambridge

YANNIS G. KEVREKIDIS, Princeton University

RALPH D. MASIELLO, DNV Kema, Inc.

JUAN C. MEZA, University of California, Merced

CYNTHIA RUDIN, Massachusetts Institute of Technology

ROBERT J. THOMAS, Cornell University

MARGARET H. WRIGHT, New York University

Staff

NEAL GLASSMAN, Senior Program Officer, Board on Mathematical Sciences and Their Applications

ALAN CRANE, Senior Program Officer, Board on Energy and Environmental Systems

RODNEY N. HOWARD, Administrative Assistant, Board on Mathematical Sciences and Their Applications

Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

BOARD ON MATHEMATICAL SCIENCES AND THEIR APPLICATIONS

DONALD SAARI, University of California, Irvine, Chair

DOUGLAS N. ARNOLD, University of Minnesota

JOHN B. BELL, E. O. Lawrence Berkeley National Laboratory

VICKI M. BIER, University of Wisconsin, Madison

JOHN R. BIRGE, University of Chicago

L. ANTHONY COX, JR., Cox Associates, Inc.

MARK L. GREEN, University of California, Los Angeles

BRYNA KRA, Northwestern University

JOSEPH A. LANGSAM, Morgan Stanley (retired)

ANDREW W. LO, Massachusetts Institute of Technology

DAVID MAIER, Portland State University

WILLIAM A. MASSEY, Princeton University

JUAN C. MEZA, University of California, Merced

CLAUDIA NEUHAUSER, University of Minnesota

FRED S. ROBERTS, Rutgers University

GUILLERMO R. SAPIRO, Duke University

CARL P. SIMON, University of Michigan

KATEPALLI SREENIVASAN, New York University

ELIZABETH A. THOMPSON, University of Washington

Staff

SCOTT T. WEIDMAN, Board Director

NEAL GLASSMAN, Senior Program Officer

MICHELLE K. SCHWALBE, Program Officer

RODNEY N. HOWARD, Administrative Assistant

BETH DOLAN, Financial Associate

Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

Acknowledgments

This report has been reviewed in draft form by individuals chosen for their diverse perspectives and technical expertise, in accordance with procedures approved by the Report Review Committee. The purpose of this independent review is to provide candid and critical comments that will assist the institution in making its published report as sound as possible and to ensure that the report meets institutional standards for objectivity, evidence, and responsiveness to the study charge. The review comments and draft manuscript remain confidential to protect the integrity of the deliberative process. We wish to thank the following individuals for their review of this report:

Alejandro Aceves, Southern Methodist University,

Judith Cardell, Smith College,

Michael Chertkov, Los Alamos National Laboratory,

Clark Gellings, Electric Power Research Institute,

Peter Sauer, University of Illinois, Urbana-Champaign, and

Pravin Varaiya, University of California, Berkeley.

Although the reviewers listed above have provided many constructive comments and suggestions, they were not asked to endorse the views presented at the workshop, nor did they see the final draft of the workshop summary before its release. The review of this workshop summary was overseen by M. Granger Morgan, Carnegie Mellon University, who was responsible for making certain that an independent examination of this workshop summary was carried out in

Page viii Cite
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×

accordance with institutional procedures and that all review comments were carefully considered. Responsibility for the final content of this summary rests entirely with the author and the institution.

We also wish to thank National Academies of Sciences, Engineering, and Medicine staff Linda Casola and Elizabeth Euller for their help in preparing this summary.

Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
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Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R2
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R3
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R4
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R5
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R6
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R7
Page viii Cite
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R8
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R9
Suggested Citation:"Front Matter." National Academies of Sciences, Engineering, and Medicine. 2015. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid: Summary of a Workshop. Washington, DC: The National Academies Press. doi: 10.17226/21808.
×
Page R10
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If the United States is to sustain its economic prosperity, quality of life, and global competitiveness, it must continue to have an abundance of secure, reliable, and affordable energy resources. There have been many improvements in the technology and capability of the electric grid over the past several decades. Many of these advances to the grid depend on complex mathematical algorithms and techniques, and as the complexity of the grid has increased, the analytical demands have also increased.

The workshop summarized in this report was developed as part of an ongoing study of the Committee on Analytical Research Foundations for the Next-Generation Electric Grid. Mathematical Sciences Research Challenges for the Next-Generation Electric Grid summarizes the presentations and discussions from this workshop. This report identifies critical areas of mathematical and computational research that must be addressed for the next-generation electric transmission and distribution system and to identify future needs and ways that current research efforts in these areas could be adjusted or augmented.

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