Applying Directly Modified RDFT Method in Active Power Filter for the Power Quality Improvement of the Weak Power Grid

The recursive discrete Fourier transformation (RDFT) method can be used for grid voltage phase-locking and harmonic current detection in a shunt active power filter (SAPF). However, in weak power grids such as microgrids, significant errors might occur in the amplitude and phase detection due to grid frequency deviation. In this study, to resolve this problem, a directly modified RDFT (DMRDFT) method is proposed for SAPF weak grid application. Through theoretical analysis, the errors of phase and amplitude detection were found to consist of fixed error and fluctuating error. The fixed error is only determined by frequency deviation, whereas the fluctuating error is also related to the recursive pointer and the initial phase. The DMRDFT algorithm can obtain the real grid frequency through the calculation of the phase angle difference for two consecutive periods. Then it can employ the grid frequency deviation and the recursive pointer value to directly correct the detection results gathered by the conventional RDFT algorithm. As a result, DMRDFT can yield accurate amplitude and phase information of the grid voltage or current with a simple calculation. Simulation results verify the high precision of the proposed DMRDFT method in both steady and dynamic situations. Experimental results show that the DMRDFT method can significantly increase the SAPF compensation performance when grid frequency shifts.

[1]  Mohd Amran Mohd Radzi,et al.  Operation of Three-Level Inverter-Based Shunt Active Power Filter Under Nonideal Grid Voltage Conditions With Dual Fundamental Component Extraction , 2018, IEEE Transactions on Power Electronics.

[2]  Ahmad Norozpour Niazi,et al.  To study unplanned islanding transient response of microgrid by implementing MSOG and SRF-PLL based hierarchical control in the presence of non-linear loads , 2020 .

[3]  Jinxin Pei,et al.  Characteristic Analysis and Risk Assessment for Voltage–Frequency Coupled Transient Instability of Large-Scale Grid-Connected Renewable Energy Plants During LVRT , 2020, IEEE Transactions on Industrial Electronics.

[4]  Zhengyou He,et al.  A Multiple Frequency Taylor Model-Based Dynamic Synchrophasor Estimation Algorithm , 2019, IEEE Transactions on Smart Grid.

[5]  Francisco A. S. Neves,et al.  Coordinated Control of Active and Reactive Power Compensation for Voltage Regulation with Enhanced Disturbance Rejection Using Repetitive Vector-Control , 2020, Energies.

[6]  Alexandru Bitoleanu,et al.  Adaptive Control of DC Voltage in Three-Phase Three-Wire Shunt Active Power Filters Systems , 2020 .

[7]  Dariusz Kania,et al.  Interpolated-DFT-Based Fast and Accurate Frequency Estimation for the Control of Power , 2014, IEEE Transactions on Industrial Electronics.

[8]  Geza Joos,et al.  Wide Frequency Range Adaptive Phasor and Frequency PMU Algorithms , 2014, IEEE Transactions on Smart Grid.

[9]  Vivek Agarwal,et al.  Hybrid Phase Locked Loop for Controlling Master-Slave Configured Centralized Inverters in Large Solar Photovoltaic Power Plants , 2018, IEEE Transactions on Industry Applications.

[10]  Xiong Du,et al.  Frequency-Division Virtual Impedance Shaping Control Method for Grid-Connected Inverters in a Weak and Distorted Grid , 2020, IEEE Transactions on Power Electronics.

[11]  Xiaowei Han,et al.  Design of a High Performance Phase-Locked Loop With DC Offset Rejection Capability Under Adverse Grid Condition , 2020, IEEE Access.

[12]  B. K. Panigrahi,et al.  BD-VSS individual weighting factor sign based adaptive filter control for power quality improvement in weak distribution grid , 2020 .

[13]  Tatsuji Yamada,et al.  High-Accuracy Estimations of Frequency, Amplitude, and Phase With a Modified DFT for Asynchronous Sampling , 2013, IEEE Transactions on Instrumentation and Measurement.

[14]  Xiaowei Han,et al.  A Novel Grid Synchronization Method Based on Hybrid Filter Under Distorted Voltage Conditions , 2020, IEEE Access.

[15]  Zedong Zheng,et al.  Fast Repetitive Control With Harmonic Correction Loops for Shunt Active Power Filter Applied in Weak Grid , 2019, IEEE Transactions on Industry Applications.

[16]  Gordon Lightbody,et al.  An Adaptive Digital-Control Scheme for Improved Active Power Filtering Under Distorted Grid Conditions , 2018, IEEE Transactions on Industrial Electronics.

[17]  Yuanzhang Sun,et al.  A practical method to improve phasor and power measurement accuracy of DFT algorithm , 2006 .

[18]  Hee-Je Kim,et al.  Implementation of Fault Ride-Through Techniques of Grid-Connected Inverter for Distributed Energy Resources With Adaptive Low-Pass Notch PLL , 2015, IEEE Transactions on Power Electronics.

[19]  António P. Martins,et al.  Power system frequency estimation using a least mean squares differentiator , 2017 .

[20]  Frede Blaabjerg,et al.  A Robust Synchronization to Enhance the Power Quality of Renewable Energy Systems , 2015, IEEE Transactions on Industrial Electronics.

[21]  Juan C. Vasquez,et al.  A Critical Examination of Frequency-Fixed Second-Order Generalized Integrator-Based Phase-Locked Loops , 2017, IEEE Transactions on Power Electronics.

[22]  Guglielmo Frigo,et al.  Reduced Leakage Synchrophasor Estimation: Hilbert Transform Plus Interpolated DFT , 2019, IEEE Transactions on Instrumentation and Measurement.

[23]  Makarand Sudhakar Ballal,et al.  Grid Interfaced Distributed Generation System With Modified Current Control Loop Using Adaptive Synchronization Technique , 2017, IEEE Transactions on Industrial Informatics.

[24]  Lijun Zheng,et al.  A Sliding Mode Control Strategy with Repetitive Sliding Surface for Shunt Active Power Filter with an LCLCL Filter , 2020, Energies.

[25]  Bhim Singh,et al.  A Multiple Improved Notch Filter-Based Control for a Single-Stage PV System Tied to a Weak Grid , 2019, IEEE Transactions on Sustainable Energy.

[26]  G. M. Burt,et al.  P and M Class Phasor Measurement Unit Algorithms Using Adaptive Cascaded Filters , 2013, IEEE Transactions on Power Delivery.

[27]  Josep M. Guerrero,et al.  An Efficient Implementation of Generalized Delayed Signal Cancellation PLL , 2016, IEEE Transactions on Power Electronics.

[28]  Xiaohua Nie,et al.  Current Reference Control for Shunt Active Power Filters Under Unbalanced and Distorted Supply Voltage Conditions , 2019, IEEE Access.

[29]  Wei Huang,et al.  Analysis of Synchronization Stability for Multi VSCs Parallel-Connected to Weak Grids by Improved Net Damping Criterion , 2020 .

[30]  Stefano Bifaretti,et al.  A Novel Repetitive Controller Assisted Phase-Locked Loop with Self-Learning Disturbance Rejection Capability for Three-Phase Grids , 2020, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[31]  B.P. McGrath,et al.  Power converter line synchronization using a discrete Fourier transform (DFT) based on a variable sample rate , 2005, IEEE Transactions on Power Electronics.

[32]  Patricio G. Donato,et al.  Harmonics Measurement With a Modulated Sliding Discrete Fourier Transform Algorithm , 2014, IEEE Transactions on Instrumentation and Measurement.

[33]  Hongbin Pan,et al.  A Novel Phase-Locked Loop With Improved-Dual Adaptive Notch Filter and Multi-Variable Filter , 2019, IEEE Access.

[34]  Hari Om Bansal,et al.  Shunt active power filter: Current status of control techniques and its integration to renewable energy sources , 2018, Sustainable Cities and Society.

[35]  Muhammad Murtadha Othman,et al.  Construction and Performance Investigation of Three-Phase Solar PV and Battery Energy Storage System Integrated UPQC , 2020, IEEE Access.

[36]  Abdul Sattar Larik,et al.  High dynamic performance power quality conditioner for AC microgrids , 2019, IET Power Electronics.

[37]  Haibing Hu,et al.  Fast and Flexible Selective Harmonic Extraction Methods Based on the Generalized Discrete Fourier Transform , 2018, IEEE Transactions on Power Electronics.

[38]  Josep M. Guerrero,et al.  PLL With MAF-Based Prefiltering Stage: Small-Signal Modeling and Performance Enhancement , 2016, IEEE Transactions on Power Electronics.

[39]  Li Li,et al.  A Frequency-Fixed SOGI-Based PLL for Single-Phase Grid-Connected Converters , 2017, IEEE Transactions on Power Electronics.

[40]  Yilu Liu,et al.  A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range , 2018, IEEE Transactions on Smart Grid.

[41]  Chengcheng Li,et al.  Power System Frequency Estimation of Sine-Wave Corrupted With Noise by Windowed Three-Point Interpolated DFT , 2018, IEEE Transactions on Smart Grid.

[42]  Yuanzhang Sun,et al.  A practical, precise method for frequency tracking and phasor estimation , 2004 .

[43]  Geng Yang,et al.  Fast and Robust Phase Estimation Algorithm for Heavily Distorted Grid Conditions , 2016, IEEE Transactions on Industrial Electronics.

[44]  Pavitra Shukl,et al.  Delta-Bar-Delta Neural-Network-Based Control Approach for Power Quality Improvement of Solar-PV-Interfaced Distribution System , 2020, IEEE Transactions on Industrial Informatics.

[45]  Liu Chun,et al.  Improved synchrophasor measurement to capture sub/super‐synchronous dynamics in power systems with renewable generation , 2018, IET Renewable Power Generation.

[46]  Tao Xia,et al.  Synchronous reference frame single-phase phase-locked loop (PLL) algorithm based on half-cycle DFT , 2020 .