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High-Pass-Filter-Based Virtual Impedance Control for LCL-filtered Inverters Under Weak Grid
Wang, Jiangfeng,Xing, Yan,Zhang, Li,Hu, Haibing,Yang, Tianyu,Lu, Daorong The Korean Institute of Power Electronics 2018 JOURNAL OF POWER ELECTRONICS Vol.18 No.6
Voltage feed-forward control (VFFC) is widely used in LCL-type grid-tied inverters due to its advantages in terms of disturbance rejection performance and fast dynamic response. However, VFFC may worsen the stability of inverters under weak grid conditions. It is revealed in this paper that a large phase-lag in the low-frequency range is introduced by VFFC, which reduces the phase margin significantly and leads to instability. To address this problem, a novel virtual-impedance-based control, where a phase-lead is introduced into the low-frequency area to compensate for the phase lag caused by VFFC, is proposed to improve system stability. The proposed control is realized with a high-pass filter, without high-order-derivative components. It features easy implementation and good noise immunity. A detailed design procedure for the virtual impedance control is presented. Both theoretical analysis and experimental results verify the effectiveness of the control proposed.
Shuo Zhang,Yuzheng Xia,Tao Yang,Xiang Li,Daorong Lu,Haibing Hu 전력전자학회 2022 JOURNAL OF POWER ELECTRONICS Vol.22 No.1
The generalized discrete Fourier transform (GDFT) realizes the rapid extraction of specific order harmonics, and shortens the extraction time to 1/3 of a fundamental cycle (6.7 ms at 50 Hz grid) for 6r ± 1 order harmonics. However, the GDFT becomes less accurate when the system presents background harmonics other than specific-order harmonics in the inputs. Therefore, this paper analyzes the influence introduced by these background harmonics on the GDFT. First, the frequency feature of the GDFT is derived by a geometric method based on the z-domain unit circle. Then, the extraction of the 6r ± 1 order harmonics is taken as an example to show the extraction accuracy of the GDFT. The Accuracy of Harmonic Extraction (AHE) index, is also given to evaluate the accuracy of the extraction. Simulation and experimental results confirmed the correctness of the theoretical analysis by showing that the GDFT has the same accuracy as the RDFT when only 6r ± 1 order harmonics are involved. However, if there are other background harmonics in the inputs, the extraction accuracy is affected greatly. Therefore, when the background harmonics cannot be ignored, it is necessary to analyze the AHE of the GDFT. When AHE > 95%, the GDFT has good accuracy and is applicable to real applications.
High-Pass-Filter-Based Virtual Impedance Control for LCL-filtered Inverters Under Weak Grid
Jiangfeng Wang,Yan Xing,Li Zhang,Haibing Hu,Tianyu Yang,Daorong Lu 전력전자학회 2018 JOURNAL OF POWER ELECTRONICS Vol.18 No.6
Voltage feed-forward control (VFFC) is widely used in LCL-type grid-tied inverters due to its advantages in terms of disturbance rejection performance and fast dynamic response. However, VFFC may worsen the stability of inverters under weak grid conditions. It is revealed in this paper that a large phase-lag in the low-frequency range is introduced by VFFC, which reduces the phase margin significantly and leads to instability. To address this problem, a novel virtual-impedance-based control, where a phase-lead is introduced into the low-frequency area to compensate for the phase lag caused by VFFC, is proposed to improve system stability. The proposed control is realized with a high-pass filter, without high-order-derivative components. It features easy implementation and good noise immunity. A detailed design procedure for the virtual impedance control is presented. Both theoretical analysis and experimental results verify the effectiveness of the control proposed.