Introduction -- SOC and Complex Networks -- Foundation of SOC in Power Systems -- Power Grid Growth and Evolution -- Complex Small-World Power Grids -- Decomposition and Coordination of Static Power Grids -- Vulnerability Assessment of Static Power Grids -- Simplification, Equivalence, and Synchronization Control of Dynamic Power Grids -- Blackout Model Based on DC Power Flow -- Blackout Model Based on AC Power Flow -- Blackout Model Considering Reactive Power/Voltage Characteristics -- Blackout Model Based on the OTS -- Applications to Generation Expansion Planning and Power Network Planning -- Applications In Electric Power Emergency Management Platform.

"Power Grid Complexity" introduces the complex system theory known as self-organized criticality (SOC) theory and complex network theory, and their applications to power systems. It studies the network characteristics of power systems, such as their small-world properties, structural vulnerability, decomposition and coordination strategies, and simplification and equivalence methods. The book also establishes four blackout models based on SOC theory through which the SOC of power systems is studied at both the macroscopic and microscopic levels. Additionally, applications of complex system theory in power system planning and emergency management platforms are also discussed in depth. This book can serve as a useful reference for engineers and researchers working with power systems. Shengwei Mei is a Professor at the Department of Electrical Engineering at Tsinghua University, China. Xuemin Zhang is a Lecturer at the Department of Electrical Engineering at Tsinghua University, China. Ming Cao is an Assistant Professor at the Faculty of Mathematics and Natural Sciences at the University of Groningen, the Netherlands.