Stabilization Design of Three-Phase LCL-Filtered Grid-Connected Inverter Using IDA-PBC Controller
Authors
Min Huang, Zhicheng Zhang, Fan Chen, Weimin Wu, Zhilei Yao, Frede Blaabjerg
Abstract
With the aim of improving the stability of renewable energy system with high permeability in the weak grid, a modified passivity-based control based on interconnection and damping assignment (IDA) is presented for LCL-filtered grid-connected inverters to eliminate the interactive resonances. The object is modeled in the form of port-controller Hamiltonian, including the partial differential of stored energy function. On the premise of ensuring Lyapunov stability, a more flexible interconnection matrix design method is applied to simplify the design process. The closed-loop stability is ensured with the selected Hamiltonian energy function at the desired balanced point. Moreover, a step-by-step design process for damping gains is provided to guarantee stable operation and fast dynamic response under variation of complex grid impedance. With the designed injected damping parameters, considering the effect of delay, it is possible for the real part of the inverter output admittance to be positive within the switching frequency. The performance and robustness of the proposed method for LCL-filtered inverter system are validated via simulated and experimental results under both unbalanced and balanced grid conditions.
Citation
- Journal: International Transactions on Electrical Energy Systems
- Year: 2022
- Volume: 2022
- Issue:
- Pages: 1–14
- Publisher: Wiley
- DOI: 10.1155/2022/7515321
BibTeX
@article{Huang_2022,
title={{Stabilization Design of Three-Phase LCL-Filtered Grid-Connected Inverter Using IDA-PBC Controller}},
volume={2022},
ISSN={2050-7038},
DOI={10.1155/2022/7515321},
journal={International Transactions on Electrical Energy Systems},
publisher={Wiley},
author={Huang, Min and Zhang, Zhicheng and Chen, Fan and Wu, Weimin and Yao, Zhilei and Blaabjerg, Frede},
editor={Capuder, Tomislav},
year={2022},
pages={1--14}
}
References
- Wu, E. & Lehn, P. W. Digital Current Control of a Voltage Source Converter With Active Damping of LCL Resonance. IEEE Trans. Power Electron. 21, 1364–1373 (2006) – 10.1109/tpel.2006.880271
- Lyu, Y., Lin, H. & Cui, Y. Stability analysis of digitally controlled LCL‐type grid‐connected inverter considering the delay effect. IET Power Electronics 8, 1651–1660 (2015) – 10.1049/iet-pel.2014.0623
- Li, X., Fang, J., Tang, Y. & Wu, X. Robust Design of LCL Filters for Single-Current-Loop-Controlled Grid-Connected Power Converters With Unit PCC Voltage Feedforward. IEEE J. Emerg. Sel. Topics Power Electron. 6, 54–72 (2018) – 10.1109/jestpe.2017.2766672
- Yu, C. et al. Modeling and Resonance Analysis of Multiparallel Inverters System Under Asynchronous Carriers Conditions. IEEE Trans. Power Electron. 32, 3192–3205 (2017) – 10.1109/tpel.2016.2576565
- Han, Y. et al. Modeling and Stability Analysis of $LCL$ -Type Grid-Connected Inverters: A Comprehensive Overview. IEEE Access 7, 114975–115001 (2019) – 10.1109/access.2019.2935806
- Zhao, J., Xie, C., Li, K., Zou, J. & Guerrero, J. M. Passivity-Oriented Design of LCL-Type Grid-Connected Inverters With Luenberger Observer-Based Active Damping. IEEE Trans. Power Electron. 37, 2625–2635 (2022) – 10.1109/tpel.2021.3109434
- Zhang, Z. et al. Principle and Robust Impedance-Based Design of Grid-tied Inverter with LLCL-Filter under Wide Variation of Grid-Reactance. IEEE Trans. Power Electron. 34, 4362–4374 (2019) – 10.1109/tpel.2018.2864775
- Harnefors, L., Finger, R., Wang, X., Bai, H. & Blaabjerg, F. VSC Input-Admittance Modeling and Analysis Above the Nyquist Frequency for Passivity-Based Stability Assessment. IEEE Trans. Ind. Electron. 64, 6362–6370 (2017) – 10.1109/tie.2017.2677353
- Guzman, R., de Vicuna, L. G., Castilla, M., Miret, J. & Martin, H. Variable Structure Control in Natural Frame for Three-Phase Grid-Connected Inverters With LCL Filter. IEEE Trans. Power Electron. 33, 4512–4522 (2018) – 10.1109/tpel.2017.2723638
- Awal, M. A., Yu, W. & Husain, I. Passivity-Based Predictive-Resonant Current Control for Resonance Damping inLCL-Equipped VSCs. IEEE Trans. on Ind. Applicat. 56, 1702–1713 (2020) – 10.1109/tia.2019.2959594
- Long, B., Lu, P. J., Chong, K. T., Rodriguez, J. & Guerrero, J. Robust Fuzzy-Fractional-Order Nonsingular Terminal Sliding-Mode Control of LCL-Type Grid-Connected Converters. IEEE Trans. Ind. Electron. 69, 5854–5866 (2022) – 10.1109/tie.2021.3094411
- Lu, J., Savaghebi, M., Ghias, A. M. Y. M., Hou, X. & Guerrero, J. M. A Reduced-Order Generalized Proportional Integral Observer-Based Resonant Super-Twisting Sliding Mode Control for Grid-Connected Power Converters. IEEE Trans. Ind. Electron. 68, 5897–5908 (2021) – 10.1109/tie.2020.2998745
- Young, H. A., Marin, V. A., Pesce, C. & Rodriguez, J. Simple Finite-Control-Set Model Predictive Control of Grid-Forming Inverters With LCL Filters. IEEE Access 8, 81246–81256 (2020) – 10.1109/access.2020.2991396
- Mohapatra, S. R. & Agarwal, V. Model Predictive Controller With Reduced Complexity for Grid-Tied Multilevel Inverters. IEEE Trans. Ind. Electron. 66, 8851–8855 (2019) – 10.1109/tie.2018.2866115
- Perez, M., Ortega, R. & Espinoza, J. Passivity-Based PI Control of Switched Power Converters. IEEE Trans. Contr. Syst. Technol. 12, 881–890 (2004) – 10.1109/tcst.2004.833628
- Li, J. et al. Research on passivity based control strategy of power conversion system used in the energy storage system. IET Power Electronics 12, 392–399 (2019) – 10.1049/iet-pel.2018.5620
- Escobar, G., van der Schaft, A. J. & Ortega, R. A Hamiltonian viewpoint in the modeling of switching power converters. Automatica 35, 445–452 (1999) – 10.1016/s0005-1098(98)00196-4
- Gaviria, C., Fossas, E. & Grino, R. Robust controller for a full-bridge rectifier using the IDA approach and GSSA modeling. IEEE Trans. Circuits Syst. I 52, 609–616 (2005) – 10.1109/tcsi.2004.842881
- Min, J. et al. Analysis, Design, and Implementation of Passivity-Based Control for Multilevel Railway Power Conditioner. IEEE Trans. Ind. Inf. 14, 415–425 (2018) – 10.1109/tii.2017.2747593
- Liu, Z., Geng, Z. & Hu, X. An Approach to Suppress Low Frequency Oscillation in the Traction Network of High-Speed Railway Using Passivity-Based Control. IEEE Trans. Power Syst. 33, 3909–3918 (2018) – 10.1109/tpwrs.2018.2789450
- Namazi, M. M., Nejad, S. M. S., Tabesh, A., Rashidi, A. & Liserre, M. Passivity-Based Control of Switched Reluctance-Based Wind System Supplying Constant Power Load. IEEE Trans. Ind. Electron. 65, 9550–9560 (2018) – 10.1109/tie.2018.2816008
- Li, J. et al. An Improved Three-Stages Cascading Passivity-Based Control of Grid-Connected LCL Converter in Unbalanced Weak Grid Condition. IEEE Access 9, 89497–89506 (2021) – 10.1109/access.2021.3091210
- Pang, S. et al. Toward Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC Filter DC/DC Converters. IEEE J. Emerg. Sel. Topics Power Electron. 9, 1302–1314 (2021) – 10.1109/jestpe.2019.2945331
- P Wang, Passivity-based control of three phase voltage source PWM rectifiers based on PCHD model.
- Serra, F. M., De Angelo, C. H. & Forchetti, D. G. IDA-PBC control of a DC–AC converter for sinusoidal three-phase voltage generation. International Journal of Electronics 104, 93–110 (2016) – 10.1080/00207217.2016.1191087
- Meshram, R. V. et al. Port-Controlled Phasor Hamiltonian Modeling and IDA-PBC Control of Solid-State Transformer. IEEE Trans. Contr. Syst. Technol. 27, 161–174 (2019) – 10.1109/tcst.2017.2761866