Mathematical Innovations in Electrical Engineering: Theory, Methods and Applications

Dear Colleagues,

Advanced mathematical methods are foundational to contemporary electrical engineering, leading to significant breakthroughs in both theoretical understanding and practical applications. For instance, numerical methods enable the solution of differential algebraic equations model of large-scale power systems, and partial differential equations are critical in finite element analysis for electromagnetic design. Optimization techniques, including gradient-free and gradient-based algorithms, are widely applied in power system operation, and adaptive filtering. Stochastic processes and probabilistic models support robust system design under uncertainty, particularly in signal processing, fault detection, and machine learning applications. Eigenvalue analysis and matrix decompositions are central to stability analysis, modal analysis, and system identification. With the integration of AI and data-driven methods, electrical engineers increasingly employ statistical learning, regression models, and neural networks, all grounded in advanced mathematics. These tools enhance predictive capabilities, system automation, intelligent control, driving innovation in smart grids, and autonomous systems.

This Special Issue aims to highlight the critical role of mathematical methods in advancing the theory and practice of electrical engineering. It seeks to bring together original research that demonstrates how mathematical modeling, analysis, and computational techniques contribute to solving complex problems in areas such as electrical circuit analysis, power system analysis, electrical machines and drives, electromagnetics, control systems, power electronics, and signal processing. We welcome contributions that explore both theoretical developments and practical implementations, including but not limited to optimization techniques, differential equations, numerical methods, stochastic processes, and machine learning models applied to electrical engineering challenges. Interdisciplinary works that bridge mathematics with emerging technologies such as smart grids, electrical machine design, microgrids, and renewable energy systems are especially encouraged.

Prof. Dr. José M. Lozano-García
Prof. Dr. Alejandro Pizano-Martinez
Guest Editors

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