Power, Control, and Data Processing Systems

Power, Control, and Data Processing Systems

Finite Time Power Regulation of BDFIG Using Adaptive Nonlinear Method

Document Type : Original Research

Authors
1 Energy Research Center, Islamic Azad University , Damavand Branch
2 Islamic Azad University, Damavand Branch
3 Sadjad University of Technology
4 Department of Electrical Engineering, Central Tehran Branch, Islamic Azad University
5 Wolfson School of Mechanical, Electrical & Manufacturing Engineering, Loughborough University
Abstract
This paper presents a novel finite-time adaptive dynamic sliding mode controller (SMC) for regulating the power of a brushless double-fed induction generator (BDFIG). Wind turbines equipped with BDFIGs present unique challenges due to the system's nonlinear dynamics, external disturbances, and inherent uncertainties. To address these issues, SMC is employed for its robustness and effectiveness in uncertain environments. The proposed controller integrates a dynamic SMC, ensuring a smooth control signal and mitigating the chattering effect commonly associated with conventional SMCs. A key innovation of this work is the development of an adaptive gain mechanism that eliminates the need for prior knowledge of uncertainty bounds. This adaptive gain dynamically converges to the upper bound of uncertainties, enhancing the system's adaptability and robustness. Using the Lyapunov stability theorem, finite-time convergence is rigorously proven, ensuring that the sliding variable reaches zero within a finite time, and the adaptive gain aligns with the uncertainty bound.
Keywords

Subjects


[1]    O. Moussa, R. Abdessemed, S. Benaggoune, “Super twisting sliding mode control for brushless doubly fed induction generator based on WECS,” International Journal of system assurance engineering and management, Vol. 10, pp. 1145-1157, 2019.
[2]    A. Oraee, R. McMahon, E. Abdi, S. Abdi and S. Ademi, "Influence of Pole-Pair Combinations on the Characteristics of the Brushless Doubly Fed Induction Generator," in IEEE Transactions on Energy Conversion, Vol. 35, No. 3, pp. 1151-1159, Sept. 2020, doi: 10.1109/TEC.2020.2982515.
[3]    X. Yan and M. Cheng, "A Robustness-Improved Control Method Based on ST-SMC for Cascaded Brushless Doubly Fed Induction Generator," in IEEE Transactions on Industrial Electronics, Vol. 68, No. 8, pp. 7061-7071, Aug. 2021, doi: 10.1109/TIE.2020.3007087.
[4]    Ehsani, M. and Oraee, A., 2022. Design of control system based on adaptive sliding mode theory for power tracking in a brushless doubly-fed wind turbine. Journal of Novel Researches on Electrical Power, 10(4), pp.39-47.
[5]    X. Yan, M. Cheng, L. Xu and Y. Zeng, “Dual-Objective Control Using an SMC-Based CW Current Controller for Cascaded Brushless Doubly Fed Induction Generator,” IEEE Transactions on Industry Applications, Vol. 56, No. 6, pp. 7109-7120, 2020.
[6]    D. Zhang, Y. Chen, J. Su and Y. Kang, “Dual-Mode Control for Brushless Doubly Fed Induction Generation System based on Control-Winding-Current Orientation,” IEEE Journal of Emerging and Selected Topics in Power Electronics, doi: 10.1109/JESTPE, 2019.
[7]    D. Tchioffo, A., Kenmoe Fankem, E.D., Golam, G. et al. “Control of a BDFIG Based on Current and Sliding Mode Predictive Approaches,” J Control Autom Electr Syst, Vol. 31, pp. 636–647, 2020.
[8]    P. Li, L. Xiong, F. Wu, M. Ma, J. Wang, “sliding mode controller based on feedback linearization for damping of sub synchronous control interaction in DFIG based wind power plants,” International journal of electrical power & energy system, Vol. 107, pp. 239-250, 2019.
[9]    V. Ghaffari, “A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems,” Iranian Journal of Electrical and Electronic Engineering, Vol. 15, No. 4, pp. 453-461, 2019.
[10]    M. Mbukani  and  N. Gule, “Comparison of high-order and second-order sliding mode observer based estimators for speed sensorless control of rotor-tied DFIG systems,”  IET Power Electronics, Vol. 12, No. 12, pp. 3231 – 3241,  2019.
[11]    X. Yan and M. Cheng, “A Robustness—Improved Control Method Based on ST-SMC for Cascaded Brushless Doubly Fed Induction Generator,” IEEE Transactions on Industrial Electronics, doi: 10.1109/TIE.2020.3007087, 2020.
[12]    J. Fei and Y. Chen, “Dynamic Terminal Sliding-Mode Control for Single-Phase Active Power Filter Using New Feedback Recurrent Neural Network,” IEEE Transactions on Power Electronics, Vol. 35, No. 9, pp. 9904-9922, 2020.
[13]    Ehsani, M., et al. "Adaptive Dynamic Sliding Mode Algorithm for BDFIG Control." Iranian Journal of Electrical & Electronic Engineering 19.1 (2023).‏
[14]    M. Shokoohinia, M. Fateh, & r. Gholipour, “Design of an adaptive dynamic sliding mode control approach for robotic systems via uncertainty estimators with exponential convergence rate,” SN Appl. Sci, Vol. 180, No. 2, 2020.
[15]    M. Herrera, O. Camacho, H. Smith, “An approach of dynamic sliding mode control for chemical processes,” Journal of Process Control, Vol. 85, pp. 112-120, 2020.
[16]    Y. Chen and J. Fei, “Dynamic Sliding Mode Control of Active Power Filter With Integral Switching Gain,” IEEE Access, Vol. 7, pp. 21635-21644, 2019.
[17]    A. Karami and A. Mollaee, H. Tirandaz, O. Barambones, “On dynamic sliding mode control of nonlinear fractional-order systems using sliding observer,” Nonlinear Dynamics, Vol. 92, 2018.
[18]    R. Hu, H. Deng and Y. Zhang, “Novel Dynamic-Sliding-Mode-Manifold-Based Continuous Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems,” IEEE Access, Vol. 8, pp. 19820-19829, 2020.
[19]    J. Wang, W. Luo, J. Liu and L. Wu, “Adaptive Type-2 FNN-Based Dynamic Sliding Mode Control of DC-DC Boost Converters,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, doi: 10.1109/TSMC.2019.2911721, 2019.
[20]    A. Rauf, S. Li, R. Madonski, J.Yang, “Continuous dynamic sliding mode control of converter-fed DC motor system with high order mismatched disturbance compensation,” Transactions of the Institute of Measurement and Control, Vol. 42, No. 14, pp. 2812-2821, 2020.
[21]    Y. Hu, H. Wang,  “Robust tracking control for vehicle electronic throttle using adaptive dynamic sliding mode and extended state observer,” Mechanical Systems and Signal Processing, Vol. 135,  2020,
[22]    S. Roy, S. Baldi, L. M. Fridman, “On adaptive sliding mode control without a priori bounded uncertainty,” Automatica, Vol. 111, 2020.
[23]     Ehsani, M., Oraee, A., Abdi, B., Behnamgol, V. and Hakimi, M., 2024. Adaptive dynamic sliding mode controller based on extended state observer for brushless doubly fed induction generator. International Journal of Dynamics and Control, pp.1-14.‏
[24]    J. Guo, “Application of a novel adaptive sliding mode control method to the load frequency control,” European Journal of Control, Vol. 57, 2021.
[25]    J. Zhang et al., “Adaptive Sliding Mode-Based Lateral Stability Control of Steer-by-Wire Vehicles With Experimental Validations,” IEEE Transactions on Vehicular Technology, Vol. 69, No. 9, pp. 9589-9600, Sept. 2020.
[26]    F. Plestan, Y. Shtessel, V. Brégeault, A. Poznyak, “New methodologies for adaptive sliding mode control”, International Journal of Control, Vol. 83, No. 9, 2010.
[27]    S. Shao, “Control of brushless doubly-fed (induction) machines,” Ph.D. dissertation, Dept. Eng., Univ. Cambridge, Cambridge, U.K., 2010.
[28]    V. Behnamgol, A. R. Vali, "Terminal sliding mode control for nonlinear systems with both matched and unmatched uncertainties," Iranian Journal of Electrical & Electronic Engineering, Vol. 11, No. 2, 2015.‏
[29]    V. Behnamgol, A. R. Vali, A. Mohammadi and A. Oraee, “Lyapunov-based Adaptive Smooth Second order Sliding Mode Guidance Law with Proving Finite Time Stability,” Journal of Space Science and Technology, Vol. 11, No. 2, 2018.
Volume 2, Issue 2
Spring 2025
Pages 11-19

  • Receive Date 13 March 2025
  • Revise Date 25 March 2025
  • Accept Date 03 April 2025
  • First Publish Date 03 April 2025
  • Publish Date 01 June 2025