An improved nonlinear robust control design for grid-side converter of VSC-HVDC connected to wind power generation system
Authors
Bangjun Lei, Tao Zhang, Shumin Fei
Abstract
This article proposes an improved nonlinear (IN) robust control strategy for the grid-side voltage-source converter (GSVSC) of a VSC-based high-voltage direct current (VSC-HVDC) transmission system connected to a large wind farm by the using Hamiltonian function method. With the help of variable transformation, the nonlinear model with parameter uncertainties and external disturbances of the GSVSC is changed into the port-controlled dissipative Hamiltonian (PCDH) system. Based on the PCDH system, an IN robust control law is established. In order to demonstrate the effectiveness and robustness of the IN robust control, the backstepping power control (BPC), which is developed by using the backstepping design procedure in the sense of Lyapunov stability theorem for the GSVSC to satisfy the control objectives of a stable HVDC bus and the grid connection with a unity power factor, is selected as a comparison object. Generally speaking, the system used by the backstepping method must have special strict feedback of the lower triangular structure, but the wind farm connected to the power grid with the VSC-HVDC is a multivariable structure and highly coupled nonlinear system. So, the BPC cannot effectively maintain and utilize the nonlinear characteristics of the VSC-HVDC system, while this nonlinear physical structure characteristics is very useful for the design of a nonlinear controller. The greatest advantage of the Hamilton function method is that it can effectively keep and utilize the nonlinear characteristics of the system. The simulation results indicate that the proposed IN control designed by using the Hamilton function method gains the advantage over the BPC under a variety of operating conditions.
Keywords
hamiltonian function method, nonlinear robust control, oscillations damping, pcdh system, transient stability, vsc-hvdc
Citation
- Journal: Electrical Engineering
- Year: 2018
- Volume: 100
- Issue: 4
- Pages: 2309–2318
- Publisher: Springer Science and Business Media LLC
- DOI: 10.1007/s00202-018-0705-9
BibTeX
@article{Lei_2018,
title={{An improved nonlinear robust control design for grid-side converter of VSC-HVDC connected to wind power generation system}},
volume={100},
ISSN={1432-0487},
DOI={10.1007/s00202-018-0705-9},
number={4},
journal={Electrical Engineering},
publisher={Springer Science and Business Media LLC},
author={Lei, Bangjun and Zhang, Tao and Fei, Shumin},
year={2018},
pages={2309--2318}
}References
- Purvins, A., Zubaryeva, A., Llorente, M., Tzimas, E. & Mercier, A. Challenges and options for a large wind power uptake by the European electricity system. Applied Energy 88, 1461–1469 (2011) – 10.1016/j.apenergy.2010.12.017
- Wang, G., Wai, R. & Liao, Y. Design of backstepping power control for grid‐side converter of voltage source converter‐based high‐voltage dc wind power generation system. IET Renewable Power Gen 7, 118–133 (2013) – 10.1049/iet-rpg.2012.0358
- Guan, L., Fan, X., Liu, Y. & Wu, Q. H. Dual-Mode Control of AC/VSC-HVDC Hybrid Transmission Systems With Wind Power Integrated. IEEE Trans. Power Delivery 30, 1686–1693 (2015) – 10.1109/tpwrd.2014.2382711
- 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
- Xu, L., Yao, L. & Sasse, C. Grid Integration of Large DFIG-Based Wind Farms Using VSC Transmission. IEEE Trans. Power Syst. 22, 976–984 (2007) – 10.1109/tpwrs.2007.901306
- 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
- Ramadan, H. S., Siguerdidjane, H., Petit, M. & Kaczmarek, R. Performance enhancement and robustness assessment of VSC–HVDC transmission systems controllers under uncertainties. International Journal of Electrical Power & Energy Systems 35, 34–46 (2012) – 10.1016/j.ijepes.2011.08.017
- Fuchs, A., Imhof, M., Demiray, T. & Morari, M. Stabilization of Large Power Systems Using VSC–HVDC and Model Predictive Control. IEEE Trans. Power Delivery 29, 480–488 (2014) – 10.1109/tpwrd.2013.2280467
- Mariethoz, S., Fuchs, A. & Morari, M. A VSC-HVDC Decentralized Model Predictive Control Scheme for Fast Power Tracking. IEEE Trans. Power Delivery 29, 462–471 (2014) – 10.1109/tpwrd.2013.2265277
- Yang, B. et al. Design and real-time implementation of perturbation observer based sliding-mode control for VSC-HVDC systems. Control Engineering Practice 56, 13–26 (2016) – 10.1016/j.conengprac.2016.07.013
- Shen, Y., Yao, W., Wen, J., He, H. & Chen, W. Adaptive Supplementary Damping Control of VSC-HVDC for Interarea Oscillation Using GrHDP. IEEE Trans. Power Syst. 33, 1777–1789 (2018) – 10.1109/tpwrs.2017.2720262
- Li, H., Liu, C., Li, G. & Iravani, R. An Enhanced DC Voltage Droop-Control for the VSC–HVDC Grid. IEEE Trans. Power Syst. 32, 1520–1527 (2017) – 10.1109/tpwrs.2016.2576901
- J Huang, J Control Sci Eng (2017)
- Nanou, S. I. & Papathanassiou, S. A. Frequency Control of Island VSC-HVDC Links Operating in Parallel With AC Interconnectors and Onsite Generation. IEEE Trans. Power Delivery 33, 447–454 (2018) – 10.1109/tpwrd.2017.2722498
- Ayari, M., Belhaouane, M. M., Jammazi, C., Braiek, N. B. & Guillaud, X. On the Backstepping Approach for VSC-HVDC and VSC-MTDC Transmission Systems. Electric Power Components and Systems 45, 520–533 (2017) – 10.1080/15325008.2017.1289571
- Pinares, G. & Bongiorno, M. Modeling and Analysis of VSC-Based HVDC Systems for DC Network Stability Studies. IEEE Trans. Power Delivery 31, 848–856 (2016) – 10.1109/tpwrd.2015.2455236
- Song, Y. & Breitholtz, C. Nyquist Stability Analysis of an AC-Grid Connected VSC-HVDC System Using a Distributed Parameter DC Cable Model. IEEE Trans. Power Delivery 31, 898–907 (2016) – 10.1109/tpwrd.2015.2501459
- Beerten, J., D’Arco, S. & Suul, J. A. Frequency‐dependent cable modelling for small‐signal stability analysis of VSC‐HVDC systems. IET Generation Trans & Dist 10, 1370–1381 (2016) – 10.1049/iet-gtd.2015.0868
- Zeni, L. et al. Power Oscillation Damping From VSC–HVDC Connected Offshore Wind Power Plants. IEEE Trans. Power Delivery 31, 829–838 (2016) – 10.1109/tpwrd.2015.2427878
- Campos-Gaona, D., Pena-Alzola, R. & Ordonez, M. Nonminimum Phase Compensation in VSC-HVDC Systems for Fast Direct Voltage Control. IEEE Trans. Power Delivery 30, 2535–2543 (2015) – 10.1109/tpwrd.2015.2436386
- Urquidez, O. A. & Xie, L. Singular Value Sensitivity Based Optimal Control of Embedded VSC-HVDC for Steady-State Voltage Stability Enhancement. IEEE Trans. Power Syst. 31, 216–225 (2016) – 10.1109/tpwrs.2015.2393253
- Dong, S., Chi, Y. & Li, Y. Active Voltage Feedback Control for Hybrid Multiterminal HVDC System Adopting Improved Synchronverters. IEEE Trans. Power Delivery 31, 445–455 (2016) – 10.1109/tpwrd.2015.2420657
- Anbuselvi, S. V., Somasundaram, P. & Kumudini Devi, R. P. Impact of current controller dynamics in small signal stability analysis of two terminal VSC-HVDC system employing grid voltage vector orientation control. Int. Trans. Electr. Energ. Syst. 26, 730–749 (2015) – 10.1002/etep.2104
- Perveen, R., Kishor, N. & Mohanty, S. R. Fault detection and optimal coordination of overcurrent relay in offshore wind farm connected to onshore grid with VSC-HVDC. Int. Trans. Electr. Energ. Syst. 26, 841–863 (2015) – 10.1002/etep.2111
- Mu, C., Tang, Y. & He, H. Improved Sliding Mode Design for Load Frequency Control of Power System Integrated an Adaptive Learning Strategy. IEEE Trans. Ind. Electron. 64, 6742–6751 (2017) – 10.1109/tie.2017.2694396
- Nanou, S. I. & Papathanassiou, S. A. Frequency Control of Island VSC-HVDC Links Operating in Parallel With AC Interconnectors and Onsite Generation. IEEE Trans. Power Delivery 33, 447–454 (2018) – 10.1109/tpwrd.2017.2722498
- Lei, B. & Fei, S. A brand new nonlinear robust control design of SSSC for transient stability and damping improvement of multi-machine power systems via pseudo-generalized Hamiltonian theory. Control Engineering Practice 29, 147–157 (2014) – 10.1016/j.conengprac.2014.04.011
- Xu, S. & Hou, X. A family of H∞ controllers for dissipative Hamiltonian systems. Intl J Robust & Nonlinear 22, 1258–1269 (2011) – 10.1002/rnc.1753
- Lei, B. & Fei, S. I control for STATCOM to improve voltage stability of power system. Electronics Letters 53, 670–672 (2017) – 10.1049/el.2016.4617
- Lv, X., Lei, B. & Fei, S. Nonlinear robust control design for static synchronous compensator. 2017 29th Chinese Control And Decision Conference (CCDC) 632–637 (2017) doi:10.1109/ccdc.2017.7978320 – 10.1109/ccdc.2017.7978320
- Lei, B., Wu, X. & Fei, S. Nonlinear robust control design for SSSC to improve damping oscillations and transient stability of power system. 2017 36th Chinese Control Conference (CCC) 3101–3106 (2017) doi:10.23919/chicc.2017.8027834 – 10.23919/chicc.2017.8027834