Mathematical and Computational Methods for Electrical Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 20 May 2026 | Viewed by 2055

Special Issue Editors


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Guest Editor
Department of Electrical and Biomedical Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90110, Thailand
Interests: VLSI design; FPGAs; embedded systems; model-based design (MBD); sensor networks

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Guest Editor
Department of Computer Science and Engineering, The University of Aizu, Aizuwakamatsu, Japan
Interests: asynchronous circuit designs; edge AI system developments; IoT applications

Special Issue Information

Dear Colleagues,

The rapid advancement of electrical engineering is increasingly driven by the synergy between mathematics, computational science, and artificial intelligence (AI). As modern electrical systems grow in complexity and scale—ranging from smart grids and autonomous control systems to high-frequency electronics and renewable energy networks—the need for accurate modeling, efficient simulation, and intelligent optimization has become more critical than ever.

Mathematical methods provide the theoretical framework necessary to describe and analyze electrical phenomena, while computational techniques enable the implementation and exploration of these models at scale. The emergence of AI and machine learning further expands this toolkit, allowing engineers to extract insights from large datasets, develop adaptive systems, and optimize performance in dynamic environments. This convergence of disciplines not only enhances the precision and efficiency of engineering solutions but also paves the way for innovations in real-time monitoring, automation, and predictive analytics.

This Special Issue aims to highlight recent advances in mathematical modeling, analytical techniques, artificial intelligence (AI), and computational methods that underpin innovations in electrical engineering. By fostering interdisciplinary approaches, this publication will encourage the integration of theoretical foundations with intelligent computational tools to address complex engineering challenges.

We are pleased to invite scholars to submit high-quality original research articles, comprehensive reviews, and case studies that focus on the development and application of mathematical, AI-driven, and computational techniques across diverse areas of electrical engineering. Topics of interest include, but are not limited to, the following areas:

  • Power systems analysis, stability, and optimization;
  • Smart grids and intelligent energy management;
  • AI and machine learning in signal and image processing;
  • Computational electromagnetics and field simulation;
  • Modeling and controlling electrical machines and drives;
  • AI-based fault detection, diagnosis, and predictive maintenance;
  • Deep learning and data-driven methods in circuit design;
  • Optimization techniques for power electronics and renewable energy;
  • Intelligent control systems and adaptive algorithms;
  • Digital twin and cyber-physical systems modeling in electrical engineering.

Dr. Nattha Jindapetch
Prof. Dr. Hiroshi Saito
Guest Editors

Manuscript Submission Information

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Keywords

  • artificial intelligence
  • signal processing
  • power systems
  • smart grids
  • fault diagnosis
  • data-driven modeling
  • predictive maintenance
  • digital twin

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Published Papers (1 paper)

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Research

23 pages, 3704 KB  
Article
Methodology for Small-Signal Stability Emergency Control in Low-Inertia Power Systems Using Phasor Measurements and Machine Learning Algorithms: A Data-Driven Approach
by Mihail Senyuk, Svetlana Beryozkina, Muhammad Nadeem, Ismoil Odinaev, Inga Zicmane and Murodbek Safaraliev
Mathematics 2025, 13(23), 3756; https://doi.org/10.3390/math13233756 - 23 Nov 2025
Viewed by 766
Abstract
In the process of decarbonizing electricity generation, renewable energy sources are actively being integrated into traditional power systems. As a result, the inertia of the energy system is reduced, and the speed of transition processes is accelerated. This can lead to instability under [...] Read more.
In the process of decarbonizing electricity generation, renewable energy sources are actively being integrated into traditional power systems. As a result, the inertia of the energy system is reduced, and the speed of transition processes is accelerated. This can lead to instability under small disturbances. This necessitates changing traditional approaches to implementing algorithms for emergency control automation. The paper proposes a methodology to solve the problem of small-signal stability analysis in low-inertia energy systems. The task of the small-signal stability analysis problem is reduced to multi-class classification problems. The proposed methodology can be divided into two main parts: selecting the most informative input features and classifying control actions. The IEEE24 mathematical model of the power system serves as a data source. Measurements from this model are received via phasor measurement units. Among the feature selection algorithms considered, the Random Forest algorithm proved to be the most effective. In terms of efficiency in solving the control action selection problem, the LightGBM algorithm proved dominant. Its accuracy in noise-free data was 98%. With 20 dB of data noise, the algorithm’s accuracy decreased slightly: 97%. The algorithm’s time delay was only 0.07 ms. Full article
(This article belongs to the Special Issue Mathematical and Computational Methods for Electrical Engineering)
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