Fractional-Order in Modeling and Control of Power Electronic-Based Systems

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (25 March 2025) | Viewed by 658

Special Issue Editors

Department of Robotics and Mechatronics, School of Engineering and Digital Sciences (SEDS), Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan Z05H0P9, Kazakhstan
Interests: advanced control (fuzzy control, sliding-mode control, nonlinear optimal control, adaptive control, neural-network control, etc.) system design; control of electric machine drives (PMSM/IM) based on microprocessors; control of distributed generation systems (DGS) using renewable energy source (wind turbine, solar cell, biomass, etc.) and/or uninterruptible power supplies (UPS); direct torque control, fault-tolerant control of electric machine drives; control of magnetic nanoparticles (nanorobots) in blood vessels and electromagnetic actuator design for targeted drug delivery system; control system design of treadmill for natural walking/running conditions; control of wind energy conversion systems
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Special Issue Information

Dear Colleagues,

Power electronic parts play a crucial role in all aspects of engineering in both research and industry. Power electronics have important applications in energy conversion and management, electric transportation, industrial automation and drives, smart grids and power quality, consumer electronics, and renewable energy integration, amongst others. Fractional-order control (FOC) extends the classical control theory by allowing controllers to have fractional-order derivatives or integrals. FOC can provide several potential advantages for power electronic-based systems, such as improved transient response, robustness to parameter uncertainties, enhanced frequency response, fractional nonlinear control, and mitigated sensitivity to delay.

This Special Issue aims to collect original research or review articles on recent advancements in the field of fractional-order control of power electronic-based systems to study and improve their robustness, reliability, and other performance metrics.

The topics of interest for this Special Issue include, but are not limited to, the following:

  • New power converter topologies (DC–DC, AC–DC, and DC–AC converters).
  • New modeling and control methods for power electronic systems including fractional-order approaches.
  • Development of advanced control techniques, including both model-based and data-based methods as well as hybrid methods.
  • Optimization-based control in power electronic converters and their applications.
  • Fractal, fractional, and chaotic power electronic circuits. 

Dr. Ton Duc Do
Dr. Duy Truong Duong
Guest Editors

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Keywords

  • power converter
  • digital control
  • model-based control
  • data-based control
  • data-driven control
  • modelling
  • fractional order

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Published Papers (2 papers)

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21 pages, 8001 KiB  
Article
Fractional-Order Modeling and Identification for Dual-Inertia Servo Inverter Systems with Lightweight Flexible Shaft or Coupling
by Xiaohong Wang, Yijian Su, Ying Luo, Tiancai Liang and Hengrui Hu
Fractal Fract. 2025, 9(4), 222; https://doi.org/10.3390/fractalfract9040222 - 1 Apr 2025
Viewed by 179
Abstract
To effectively mitigate resonance in dual-inertia servo inverter systems with a lightweight flexible shaft or coupling, the precise modeling of the dual-mass mechanism is essential. This paper proposes a fractional-order modeling and identification methodology tailored for a dual-mass loading permanent magnet synchronous motor [...] Read more.
To effectively mitigate resonance in dual-inertia servo inverter systems with a lightweight flexible shaft or coupling, the precise modeling of the dual-mass mechanism is essential. This paper proposes a fractional-order modeling and identification methodology tailored for a dual-mass loading permanent magnet synchronous motor (PMSM) servo inverter system. By extending the traditional integer-order model to a more precise fractional-order one, the accuracy of resonance capture can be enhanced within the dual-inertia mechanism. Model parameters are identified using an output error approach combined with the Levenberg–Marquardt (LM) algorithm for fractional-order identification. To validate the effectiveness of this proposed methodology, a PMSM servo inverter experimental platform was developed, and identification experiments were conducted on this platform. The experimental results demonstrate that the proposed fractional-order modeling and parameter identification method significantly improves the system characterization accuracy of the dual-inertia servo inverter system. Full article
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25 pages, 12753 KiB  
Article
Fractional-Order Modeling and Control of HBCS-MG in Off-Grid State
by Yingjie Ding, Xinggui Wang, Lingxia Zhao, Hailiang Wang and Jinjian Li
Fractal Fract. 2025, 9(4), 202; https://doi.org/10.3390/fractalfract9040202 - 26 Mar 2025
Viewed by 199
Abstract
Half-bridge converter series microgrid (HBCS-MG) is susceptible to a variety of uncertainties and disturbances during operation, and therefore, the use of the traditional integer-order models cannot accurately reflect the effects of environmental variations on internal components of the off-grid system, such as converters, [...] Read more.
Half-bridge converter series microgrid (HBCS-MG) is susceptible to a variety of uncertainties and disturbances during operation, and therefore, the use of the traditional integer-order models cannot accurately reflect the effects of environmental variations on internal components of the off-grid system, such as converters, filters, and loads, including factors like time delays, memory effects, and multi-scale coupling. The fractional-order control method is better equipped to deal with these disturbances, thereby enhancing the robustness and stability of the system. In the off-grid state, a fractional-order PI (FOPI) controller is employed for double-closed-loop control, and the load voltage feedforward control is utilized to offset the impact of load voltage fluctuations on the system. A new simplified equivalent circuit calculation method for the fractional-order inductor is proposed, and a complete fractional mathematical model of the system in the dq rotating coordinate system is established to obtain the transfer function between the load voltage and the input voltage. Furthermore, the impact of the fractional-order variation of the FOPI controllers and the fractional elements on system performance in the frequency domain and time domain is described in detail. The simulation results are compared with the theoretical analysis to demonstrate the accuracy of the mathematical model. The overshoot of the load voltage at the switching instant of 0.7 s is reduced by 4.2% compared with the integer-order PI controller, which proves that the fractional-order controller can improve the system control accuracy. Full article
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