Formal Analysis of Future Energy Systems Using Interactive Theorem Proving

This book describes an accurate analysis technique for energy systems based on formal methodscomputer-based mathematical logic techniques for the specification, validation, and verification of the systems.

Correctness and accuracy of the financial, operational, and implementation analysis are of the paramount importance for the materialization of the future energy systems, such as smart grids, to achieve the objectives of cost-effectiveness, efficiency, and quality-of-service. In this regard, the book develops formal theories of microeconomics, asymptotic, and stability to support the formal analysis of generation and distribution cost, smart operations, and processing of energy in a smart grid. These formal theories are also employed to formally verify the cost and utility modeling for:

 

• Energy generation and distribution;
• Asymptotic bounds for online scheduling algorithms for plug-in electric vehicles; and
• Stability ofthe power converters for wind turbines.

 

The proposed approach results in mechanized proofs for the specification, validation, and verification of corresponding smart grid problems. The formal mathematical theories developed can be applied to the formal analysis of several other hardware and software systems as well, making this book of interest to researchers and practicing engineers in a variety of power electronic fields.

Asad Ahmed is Ph.D. candidate and Research Assistant at the National University of Sciences and Technology. He holds B.Sc. degree from Punjab University, and M.Sc. and M.Phil. degrees from Quaid-i-Azam University, gained in 2004, 2007, and 2013, respectively. He has worked in several teaching positions, including as a teachers assistant at NUST, and a lecturer at the Institute of Engineering and Technology. He has published several journal and conference papers.

Associate Professor Osman Hasan gained his B.Sc. from the University of Engineering and Technology in 1997, and his M.Eng. and Ph.D. from Concordia University, in 2001 and 2008, respectively. He has worked in several research and teaching positions, for which he has won prizes, including his current role as Senior Head of Department of Electrical Engineering at the National University of Sciences and Technology. He has published 3 books, 14 book chapters, over 70 journal articles, and more than 150 conference papers. Heis a senior member of the IEEE and a member of the Pakistan Engineering Council

Associate Professor Falah Awwad works in the Electrical Engineering Department at the United Arab Emirates University. He gained his B.Sc. from Kuwait University, and his M.Sc. and Ph.D. from Concordia University. He has authored over 20 journal articles, two patents, and one book chapter.

Nabil Bastaki received his BSc degree in Computer Engineering from the University of Arizona, USA in May 1989, the Master of Engineering degree in Electrical Engineering from Cornell University, USA in May 1993, and the PhD degree in Computer Engineering in May 2001 from the University of Southern California, USA. Since August 2019, he is the College of Engineering Assistant Dean for Research and Graduate Studies. He has held several administrative positions at UAEU, including, Head of Industrial Training and Graduation Projects, the Director of the Continuing Education Center, and the Assistant Dean for Student Affairs at the College of Engineering (COE).

Introduction.- Interactive Theorem Proving.- Formalization of Stability Theory.- Formalization of Asymptotic Notations.- Formalization of Cost and Utility in Microeconomics.- Conclusions