This book showcases the strengths of Linear Programming models for Cyber
Physical Systems (CPS), such as the Smart Grids. Cyber-Physical Systems
(CPS) consist of computational components interconnected by computer
networks that monitor and control switched physical entities
interconnected by physical infrastructures. A fundamental challenge in
the design and analysis of CPS is the lack of understanding in
formulating constraints for complex networks. We address this challenge
by employing collection of Linear programming solvers that models the
constraints of sub-systems and micro grids in a distributed fashion.
The book can be treated as a useful resource to adaptively schedule
resource transfers between nodes in a smart power grid. In addition, the
feasibility conditions and constraints outlined in the book will enable
in reaching optimal values that can help maintain the stability of both
the computer network and the physical systems. It details the collection
of optimization methods that are reliable for electric-utilities to use
for resource scheduling, and optimizing their existing systems or
sub-systems. The authors answer to key questions on ways to optimally
allocate resources during outages, and contingency cases (e.g., line
failures, and/or circuit breaker failures), how to design de-centralized
methods for carrying out tasks using decomposition models; and how to
quantify un-certainty and make decisions in the event of grid failures.
