Understanding and characterizing energy consumption are fundamental challenges in the design and operation of modern complex systems, including smart grids, intelligent transportation networks, data centers, and advanced manufacturing environments. These systems consist of numerous interconnected components with diverse energy consumption patterns and non-linear behaviors. Accurately analyzing these flows is crucial for identifying structural inefficiencies, understanding multi-scale system dynamics, and guiding the development of sustainable energy management practices.This Reprint brings together a collection of high-quality research contributions focused on the rigorous analysis and characterization of energy consumption within these intricate frameworks. The included works present innovative methods, analytical frameworks, and detailed case studies that advance the understanding of energy usage patterns. By revealing the underlying factors that influence energy demand, this Reprint provides actionable insights into improving energy efficiency and long-term sustainability across various engineering and industrial domains.
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