Chinese Journal of Electrical Engineering ›› 2023, Vol. 9 ›› Issue (3): 84-98.doi: 10.23919/CJEE.2023.000025

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TSKARNA-norm Adaption Based NLMS with Optimized Fractional Order PID Controller Gains for Voltage Power Quality

Prashant Kumar, Sabha Raj Arya*, Khyati D. Mistry   

  1. Department of Electrical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat 395007, India
  • Received:2022-07-03 Revised:2022-10-07 Accepted:2023-02-27 Online:2023-09-25 Published:2023-07-20
  • Contact: *E-mail: sabharaj79@gmail.com
  • About author:Prashant Kumar received the B.Tech. in Electrical Engineering and M.Tech. in Power Systems. He has seven years of teaching experience and three years of industrial experience. Currently, He is pursuing the Ph.D. in Electrical Engineering from Sardar Vallabhbhai National Institute of Technology, Surat, India. He has published several papers in international and national journals as well as in international and national conference proceedings. His research areas include power electronics, machine learning applications, power quality, and the design of custom power devices.
    Sabha Raj Arya received B.E. degree in Electrical Engineering from Government Engineering College Jabalpur in 2002, Master of Technology in Power Electronics from Motilal National Institute of Technology, Allahabad, in 2004 and Ph.D. degree in Electrical Engineering from the Indian Institute of Technology (I.I.T) Delhi, New Delhi, India in 2014. He joined the Department of Electrical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat, as Assistant Professor and became Associate Professor in 2019. His areas of interest include power quality, power electronics, power filter design, and distributed power generation.
    He is a recipient of Two National Awards, namely the INAE Young Engineer Award from the Indian National Academy of Engineering and the POSOCO Power System Award from the Power Grid Corporation of India in 2014 for his research work. He also received the Amit Garg Memorial Research Award-2014 from I.I.T Delhi for high-impact publication in a quality journal during the session 2013-2014. He has published more than hundred research paper in national journals and conferences in the field of Electrical Power Quality. He also serves as an Associate Editor for the IET (U.K.) Renewable Power Generation.
    Khyati D. Mistry received B.E. degree in Electrical Engineering and master’s degree in Power Systems from Sardar Patel University, Vallabh Vidhyanagar, Anand, India in 2004 and 2006, respectively. She received a Ph.D. degree in Electrical Engineering from the Sardar Vallabhbhai National Institute of Technology, Surat, India in 2015. She was an Assistant Professor, Department of Electrical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat in September 2007. In January 2019, she was promoted to Associate Professor at the same institute. Her research interests include optimization techniques, analysis of power systems, and power system protection.

Abstract: The operation of a dynamic voltage restorer (DVR) is studied using a three-phase voltage source converter (VSC)-based topology to alleviate voltage anomalies from a polluted supply voltage. The control algorithm used included two components. The first is an adaptive Takagi-Sugeno-Kang (TSK)-based adaptive reweighted L1 norm adaption-based normalized least mean square (TSK-ARNA-NLMS) unit, which is proposed for the extraction of fundamental active and reactive components from the non-ideal supply and is further employed to generate the load reference voltage and switching pulse for the VSC. The step size was evaluated using the proposed TSK-ARNA-NLMS controller, and the TSK unit was optimized by integration with the marine predator algorithm (MPA) for a faster convergence rate. The second, a fractional-order PID controller (FOPID), was employed for AC- and DC-link voltage regulation and was approximated using the Oustaloup technique. The FOPID (PIγDµ) provides more freedom for tuning the settling time, rise time, and overshoot. The FOPID coefficients (Ki, Kd, Kp, γ, and µ) were optimized by employing an advanced ant lion optimization (ALO) meta-heuristics technique to minimize the performance index, namely, the integral time absolute error (ITAE) and assess the accuracy of controllers. The DVR performance was validated under dynamic- and steady-state conditions.

Key words: Takagi-Sugeno-Kang (TSK), ARNA-NLMS, FOPID-ALO, unbalances, gain optimization, approximation Oustaloup technique