Stabilization of wind farm integrated transmission system with input delay

Authors

Gaoran Wang, Weiwei Sun, Shuqing Wang

Abstract

In the process of large-scale wind farms integration, the time delay is usually caused by the introduction of wide area control signal, which leads to the unstable operation of integrated transmission system. In order to solve this problem, using the control principle of interconnection and damping assignment passivity-based (IDA-PB), this paper puts forward a control method which applies voltage source converter high voltage direct current (VSC-HVDC) technology to the integrated system of time-delay wind farm and keeps the system running stably. In this method, the framework of time-delay port controlled Hamiltonian (PCH) system is constructed, and the energy shaping of the system is carried out by extending the IDA-PB control principle, thus the feedback controller of the system is designed. Around the problem of time-delay stabilization, the stability criterion is obtained by constructing Lyapunov-Krasovskii functional and introducing free weighting matrices. Finally, the simulation results show that the proposed method can effectively solve the time delay problem of the integrated transmission system and avoid the performance deterioration of the system.

Citation

• Journal: AIMS Mathematics
• Year: 2021
• Volume: 6
• Issue: 9
• Pages: 9177–9193
• Publisher: American Institute of Mathematical Sciences (AIMS)
• DOI: 10.3934/math.2021533

BibTeX

@article{Wang_2021,
  title={{Stabilization of wind farm integrated transmission system with input delay}},
  volume={6},
  ISSN={2473-6988},
  DOI={10.3934/math.2021533},
  number={9},
  journal={AIMS Mathematics},
  publisher={American Institute of Mathematical Sciences (AIMS)},
  author={Wang, Gaoran and Sun, Weiwei and Wang, Shuqing},
  year={2021},
  pages={9177--9193}
}

Download the bib file

References

• An, T., Tang, G. & Wang, W. Research and application on multi‐terminal and DC grids based on VSC‐HVDC technology in China. High Voltage 2, 1–10 (2017) – 10.1049/hve.2017.0010
• Guo, Y. et al. Enhanced Voltage Control of VSC-HVDC-Connected Offshore Wind Farms Based on Model Predictive Control. IEEE Trans. Sustain. Energy 9, 474–487 (2018) – 10.1109/tste.2017.2743005
• Liu, H. & Chen, Z. Contribution of VSC-HVDC to Frequency Regulation of Power Systems With Offshore Wind Generation. IEEE Trans. Energy Convers. 30, 918–926 (2015) – 10.1109/tec.2015.2417130
• Lin, J. Integrating the First HVDC-Based Offshore Wind Power into PJM System—A Real Project Case Study. IEEE Trans. on Ind. Applicat. 52, 1970–1978 (2016) – 10.1109/tia.2015.2511163
• Shao, B., Zhao, S., Yang, Y., Gao, B. & Blaabjerg, F. Sub-Synchronous Oscillation Characteristics and Analysis of Direct-Drive Wind Farms With VSC-HVDC Systems. IEEE Trans. Sustain. Energy 12, 1127–1140 (2021) – 10.1109/tste.2020.3035203
• Shaobu Wang, Xiangyu Meng & Tongwen Chen. Wide-Area Control of Power Systems Through Delayed Network Communication. IEEE Trans. Contr. Syst. Technol. 20, 495–503 (2012) – 10.1109/tcst.2011.2116022
• Chaudhuri, B., Majumder, R. & Pal, B. C. Wide-Area Measurement-Based Stabilizing Control of Power System Considering Signal Transmission Delay. IEEE Trans. Power Syst. 19, 1971–1979 (2004) – 10.1109/tpwrs.2004.835669
• Yang, B. & Sun, Y. Damping Factor Based Delay Margin for Wide Area Signals in Power System Damping Control. IEEE Trans. Power Syst. 28, 3501–3502 (2013) – 10.1109/tpwrs.2013.2242699
• Li, M. & Chen, Y. Wide‐area Stabiliser on Sliding Mode Control for Cross‐area Power Systems with Random Delay and Packet Dropouts. Asian Journal of Control 20, 2130–2142 (2018) – 10.1002/asjc.1715
• Yang, D., Li, X. & Qiu, J. Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback. Nonlinear Analysis: Hybrid Systems 32, 294–305 (2019) – 10.1016/j.nahs.2019.01.006
• Yang, X. et al. Review of stability and stabilization for impulsive delayed systems. Mathematical Biosciences & Engineering 15, 1495–1515 (2018) – 10.3934/mbe.2018069
• Sun, W., Qiu, M. & Lv, X. H_∞ filter design for a class of delayed Hamiltonian systems with fading channel and sensor saturation. AIMS Mathematics 5, 2909–2922 (2020) – 10.3934/math.2020188
• Yen-Chen Liu & Chopra, N. Gravity-Compensation-Driven Position Regulation for Robotic Systems Under Input/Output Delays. IEEE Trans. Contr. Syst. Technol. 22, 995–1005 (2014) – 10.1109/tcst.2013.2275746
• Ahmed, S., Wang, H., Aslam, M. S., Ghous, I. & Qaisar, I. Robust Adaptive Control of Robotic Manipulator with Input Time-varying Delay. Int. J. Control Autom. Syst. 17, 2193–2202 (2019) – 10.1007/s12555-018-0767-5
• Yu Kang, Zhijun Li, Xiaoqing Cao & Dihua Zhai. Robust Control of Motion/Force for Robotic Manipulators With Random Time Delays. IEEE Trans. Contr. Syst. Technol. 21, 1708–1718 (2013) – 10.1109/tcst.2012.2220357
• He, Q. & Liu, J. An observer for a velocity-sensorless VTOL aircraft with time-varying measurement delay. International Journal of Systems Science 47, 652–661 (2014) – 10.1080/00207721.2014.900135
• Su, S. & Lin, Y. Output tracking control for a velocity-sensorless VTOL aircraft with measurement delays. International Journal of Systems Science 46, 885–895 (2013) – 10.1080/00207721.2013.801091
• Jin, X., Yin, G., Li, Y. & Li, J. Stabilizing Vehicle Lateral Dynamics with Considerations of State Delay of AFS for Electric Vehicles via Robust Gain‐Scheduling Control. Asian Journal of Control 18, 89–97 (2015) – 10.1002/asjc.1161
• Huang, M., Gao, W. & Jiang, Z. Connected cruise control with delayed feedback and disturbance: An adaptive dynamic programming approach. Adaptive Control & Signal 33, 356–370 (2017) – 10.1002/acs.2834
• Han, S., Tang, G., Chen, Y., Yang, X. & Yang, X. Optimal Vibration Control for Vehicle Active Suspension Discrete‐Time Systems with Actuator Time Delay. Asian Journal of Control 15, 1579–1588 (2013) – 10.1002/asjc.719
• Soudbakhsh, D., Chakrabortty, A. & Annaswamy, A. M. A delay-aware cyber-physical architecture for wide-area control of power systems. Control Engineering Practice 60, 171–182 (2017) – 10.1016/j.conengprac.2016.12.012
• Efimov, D., Schiffer, J. & Ortega, R. Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids. International Journal of Control 89, 909–918 (2016) – 10.1080/00207179.2015.1104555
• Li, J., Chen, Z., Cai, D., Zhen, W. & Huang, Q. Delay-Dependent Stability Control for Power System With Multiple Time-Delays. IEEE Trans. Power Syst. 31, 2316–2326 (2016) – 10.1109/tpwrs.2015.2456037
• Li, X., Wang, R., Wu, S. & Dimirovski, G. M. Exponential Stability for Multi‐Area Power Systems with Time Delays Under Load Frequency Controller Failures. Asian Journal of Control 19, 787–791 (2016) – 10.1002/asjc.1373
• Luo, H., Hiskens, I. A. & Hu, Z. Stability Analysis of Load Frequency Control Systems With Sampling and Transmission Delay. IEEE Trans. Power Syst. 35, 3603–3615 (2020) – 10.1109/tpwrs.2020.2980883
• Wen, S., Yu, X., Zeng, Z. & Wang, J. Event-Triggering Load Frequency Control for Multiarea Power Systems With Communication Delays. IEEE Trans. Ind. Electron. 63, 1308–1317 (2016) – 10.1109/tie.2015.2399394
• Gui, Y., Kim, C. & Chung, C. C. Improved low-voltage ride through capability for PMSG wind turbine based on port-controlled hamiltonian system. Int. J. Control Autom. Syst. 14, 1195–1204 (2016) – 10.1007/s12555-014-0480-y
• Song, H. H. & Qu, Y. B. Energy-based modelling and control of wind energy conversion system with DFIG. International Journal of Control 84, 281–292 (2011) – 10.1080/00207179.2010.550064
• Sun, W., Wu, Y. & Wang, L. Trajectory tracking of constrained robotic systems via a hybrid control strategy. Neurocomputing 330, 188–195 (2019) – 10.1016/j.neucom.2018.11.008
• Ren, Y. & Sun, W. Robust adaptive control for robotic systems with input time-varying delay using Hamiltonian method. IEEE/CAA J. Autom. Sinica 5, 852–859 (2018) – 10.1109/jas.2016.7510055
• Guo, Y., Xi, Z. & Cheng, D. Speed regulation of permanent magnet synchronous motor via feedback dissipative Hamiltonian realisation. IET Control Theory Appl. 1, 281–290 (2007) – 10.1049/iet-cta:20050307
• Yaghmaei, A. & Yazdanpanah, M. J. Structure Preserving Observer Design for Port-Hamiltonian Systems. IEEE Trans. Automat. Contr. 64, 1214–1220 (2019) – 10.1109/tac.2018.2847904
• Fan, X., Guan, L., Xia, C. & Ji, T. IDA-PB control design for VSC-HVDC transmission based on PCHD model. Int. Trans. Electr. Energ. Syst. 25, 2133–2143 (2014) – 10.1002/etep.1953
• Dai, S. & Koutsoukos, X. Safety analysis of integrated adaptive cruise and lane keeping control using multi-modal port-Hamiltonian systems. Nonlinear Analysis: Hybrid Systems 35, 100816 (2020) – 10.1016/j.nahs.2019.100816
• Aoues, S., Cardoso-Ribeiro, F. L., Matignon, D. & Alazard, D. Modeling and Control of a Rotating Flexible Spacecraft: A Port-Hamiltonian Approach. IEEE Trans. Contr. Syst. Technol. 27, 355–362 (2019) – 10.1109/tcst.2017.2771244
• Sun, W. & Fu, B. Adaptive control of time‐varying uncertain non‐linear systems with input delay: a Hamiltonian approach. IET Control Theory & Appl 10, 1844–1858 (2016) – 10.1049/iet-cta.2015.1165
• Sun, W., Lv, X., Wang, K. & Wang, L. Observer-based output feedback stabilisation and ℒ2-disturbance attenuation of uncertain Hamiltonian systems with input and output delays. International Journal of Systems Science 50, 2565–2578 (2019) – 10.1080/00207721.2019.1671532
• Schiffer, J., Fridman, E., Ortega, R. & Raisch, J. Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation. Automatica 74, 71–79 (2016) – 10.1016/j.automatica.2016.07.022