Modeling and Simulation for Optimizing Complex Dynamical Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D: Statistics and Operational Research".

Deadline for manuscript submissions: 31 January 2026 | Viewed by 392

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Guest Editor
Department of Electronic and Electrical Engineering, Ewha Womans University, Seoul, Republic of Korea
Interests: modeling and simulation; optimization; artificial intelligence
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Special Issue Information

Dear Colleagues,

The modeling and simulation (M&S) of dynamical systems are essential for solving problems across various fields of applied mathematics, including physics, biology, engineering, economics, and beyond. By employing diverse mathematical modeling techniques—such as differential equations, discrete-event system specification (DEVS), Petri nets, and cellular automata—practitioners can model complex dynamical systems and simulate (i.e., utilize or analyze) these models to better understand system behavior, improve and optimize performance, and even design new systems. Machine learning techniques, such as recurrent neural networks (RNNs), are an alternative to traditional mathematical modeling methods; recently, they have been effectively implemented when sufficient input–output data are available.

This Special Issue aims to compile the latest research achievements in the field of dynamical system M&S. We particularly seek contributions that not only focus on M&S but also explore the optimization of complex dynamical systems based on M&S. We welcome original research articles and comprehensive review papers on topics including, but not limited to, the following:

  • Mathematical modeling methodologies for dynamical systems (e.g., new modeling formalisms);
  • Efficient and accurate computational simulation methods (e.g., numerical methods, distributed/parallel simulation techniques);
  • Simulation-based optimization techniques (e.g., ranking and selection, metaheuristics);
  • Data-driven and machine learning approaches (e.g., physics-informed neural networks);
  • Applications across various fields.

We look forward to receiving your contributions to this Special Issue.

Thank you for your consideration.

Dr. Seon Han Choi
Guest Editor

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Keywords

  • modeling and simulation
  • optimization
  • complex dynamical systems
  • machine learning

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Published Papers (1 paper)

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Research

32 pages, 7952 KB  
Article
Renewable-Integrated Agent-Based Microgrid Model with Grid-Forming Support for Improved Frequency Regulation
by Danyao Peng, Sangyub Lee and Seonhan Choi
Mathematics 2025, 13(19), 3142; https://doi.org/10.3390/math13193142 - 1 Oct 2025
Viewed by 208
Abstract
The increasing penetration of renewable energy presents substantial challenges to frequency stability, particularly in low-inertia microgrids. This study introduces an agent-based microgrid model that integrates generators, loads, an energy storage system (ESS), and renewable sources, mathematically formalized through the discrete-event system specification (DEVS) [...] Read more.
The increasing penetration of renewable energy presents substantial challenges to frequency stability, particularly in low-inertia microgrids. This study introduces an agent-based microgrid model that integrates generators, loads, an energy storage system (ESS), and renewable sources, mathematically formalized through the discrete-event system specification (DEVS) to ensure both structural clarity and extensibility. To dynamically simulate power system behavior, the model incorporates multiple control strategies—including ESS scheduling, automatic generation control (AGC), predictive AGC, and grid-forming (GFM) inverter control—each posed as an mathematically defined control problem. Simulations on the IEEE 13-bus system demonstrates that the coordinated operation of ESS, GFM, and the proposed strategies markedly enhances frequency stability, reducing frequency peaks by 1.14, 1.14, and 0.72 Hz, and shortening the average recovery time by 9.05, 0.15, and 2.58 min, respectively. Collectively, the model provides a systematic representation of grid behavior and frequency regulation mechanisms under high renewable penetration, and establishes a rigorous mathematical framework for advancing microgrid research. Full article
(This article belongs to the Special Issue Modeling and Simulation for Optimizing Complex Dynamical Systems)
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