Lyapunov-Based Frequency Regulation Strategy for Doubly-Fed Induction Generators Under Grid Frequency Disturbances

Chengyu Lan

doi:10.54254/2753-8818/2025.AD26549

Theoretical and Natural ScienceOpen access

Lyapunov-Based Frequency Regulation Strategy for Doubly-Fed Induction Generators Under Grid Frequency Disturbances

Research Article

Open Access

Lyapunov-Based Frequency Regulation Strategy for Doubly-Fed Induction Generators Under Grid Frequency Disturbances

Chengyu Lan ^1*

¹ Hebei University of Technology & LUT University, Hebei, China

^*Corresponding author: 15620809266@163.com

Published on 3 September 2025

TNS Vol.134

ISSN (Print): 2753-8826

ISSN (Online): 2753-8818

ISBN (Print): 978-1-80590-343-7

ISBN (Online): 978-1-80590-344-4

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Abstract

With the weakening of system inertia caused by the high proportion of renewable energy access, the frequency regulation in power systems is facing severe challenges. As a typical Inertia-less Power source, wind power must actively participate in frequency control to enhance grid stability. This paper proposes a Lyapunov-based frequency control strategy for Doubly-Fed Induction Generators (DFIGs) to improve system frequency response and dynamic robustness. Compared to traditional PI and virtual inertia methods, the proposed control significantly reduces the maximum frequency deviation from 0.31 Hz to 0.19 Hz, shortens the recovery time from 4.2 s to 2.18 s, and improves the overall system stability score from 6.5 to 9.4. By constructing the electrical and mechanical models of DFIGs and designing a state feedback controller, we validate the effectiveness of the proposed strategy through MATLAB/Simulink simulations. The results demonstrate superior performance over traditional PI control regarding response speed and frequency stabilization across multiple operating conditions.

Keywords:

Frequency Regulation, Wind Power Generation, Doubly-Fed Induction Generator (DFIG), Lyapunov Stability, Grid Stability

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References

[1]. Michel Rezkalla, Michael Pertl & Mattia Marinelli, “Electric power system inertia: requirements, challenges and solutions”., Springer, 2018.

[2]. Md. Nahid Haque Shazon, Nahid-Al-Masood, Atik Jawad, “Frequency control challenges and potential countermeasures in future low-inertia power systems: A review”., ScienceDirect., 2022.

[3]. Yingwei Wang; Yufeng Guo; Weimao Xu., “Integrated Wind-Energy Storage Primary Frequency Regulation Method Considering Wind Power Frequency Regulation Capability and Fatigue Loads”., IEEE, 2024.

[4]. Anant Kumar Singh; Ramakrishnan Raja; Tomy Sebastian; Awab Ali., “Limitations of the PI Control with Respect to Parameter Variation in PMSM Motor Drive Systems”., IEEE, 2019.

[5]. Han Deng; Jingyang Fang., “State-Space Modeling, Stability Analysis, and Controller Design of Grid-Forming Converters With Distributed Virtual Inertia”., Front. Energy Res., 2022., Sec. Smart Grids.

[6]. Chamni Jaipradidtham; Lapat Napen., “Lyapunov stability criterion to control strategy with PI controller of doubly fed induction generators in variable-speed of wind turbine energy conversion optimization”., IEEE., 2016.

[7]. Hichem Itouchene; Fayssal Amrane; Zoubir Boudries; Phatiphat Thounthong; Idris Issaadi., “Design of a Robust Controller using Lyapunov Function for DFIG Wind Turbines”., IEEE., 2024.

[8]. Sana Salhi; Salah Salhi., “LQR control of a Grid Side Converter of a DFIG based WECS: LMI approach based on Lyapunov condition”., IEEE., 2019.

[9]. Baros, Stefanos; Ilić, Marija D., “Distributed Consensus Control of DFIGs with Storage for Wind Farm Power Output Regulation”., MIT Libraries.

References

[1]. Michel Rezkalla, Michael Pertl & Mattia Marinelli, “Electric power system inertia: requirements, challenges and solutions”., Springer, 2018.

[2]. Md. Nahid Haque Shazon, Nahid-Al-Masood, Atik Jawad, “Frequency control challenges and potential countermeasures in future low-inertia power systems: A review”., ScienceDirect., 2022.

[4]. Anant Kumar Singh; Ramakrishnan Raja; Tomy Sebastian; Awab Ali., “Limitations of the PI Control with Respect to Parameter Variation in PMSM Motor Drive Systems”., IEEE, 2019.

[7]. Hichem Itouchene; Fayssal Amrane; Zoubir Boudries; Phatiphat Thounthong; Idris Issaadi., “Design of a Robust Controller using Lyapunov Function for DFIG Wind Turbines”., IEEE., 2024.

[8]. Sana Salhi; Salah Salhi., “LQR control of a Grid Side Converter of a DFIG based WECS: LMI approach based on Lyapunov condition”., IEEE., 2019.

[9]. Baros, Stefanos; Ilić, Marija D., “Distributed Consensus Control of DFIGs with Storage for Wind Farm Power Output Regulation”., MIT Libraries.

Cite this article

Lan,C. (2025). Lyapunov-Based Frequency Regulation Strategy for Doubly-Fed Induction Generators Under Grid Frequency Disturbances. Theoretical and Natural Science,134,13-23.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

About volume

Volume title: Proceedings of CONF-APMM 2025 Symposium: Controlling Robotic Manipulator Using PWM Signals with Microcontrollers

ISBN: 978-1-80590-343-7(Print) / 978-1-80590-344-4(Online)

Editor: Marwan Omar, Mustafa Istanbullu

Conference website: https://2025.confapmm.org/adana.html

Conference date: 19 September 2025

Series: Theoretical and Natural Science

Volume number: Vol.134

ISSN: 2753-8818(Print) / 2753-8826(Online)

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