Recent Advances in Electrical & Electronic Engineering

Author(s): Rohollah S. Goughari, Mehdi J. Shahbazzadeh* and Mahdieh Eslami

DOI: 10.2174/2352096513999200821124317

Investigation of the Behavior of Output Variables for Arbitrary Inputs to high Voltage Direct Current Power System Modeling Using Lyapunov Function Nonlinear Control Model

Page: [171 - 188] Pages: 18

  • * (Excluding Mailing and Handling)

Abstract

Background: Until now, a variety of proportional integral controllers and local controllers and predictive controller models have been used to stabilize VSC-HVDC transmission lines. One of the disadvantages of a linear model predictive control is that it is difficult and time consuming to adjust it for times when the disturbance entering the system is sudden. The goal is to monitor and take appropriate action to balance power and eliminate voltage or current that has exceeded the allowable limit.

Methods: The way it works is that first, the DC current and the measured voltage of converter power source (VSC) is sup-plied based on various factors, and then the converters slowly begin to track the desired reference value, and this continues until the power sources are adjusted according to current and voltage limits.

Results: To achieve this goal, this paper examines recent articles on the modeling of VSC-HVDC power transmission systems and a comprehensive model has been chosen that has not been published for several months since its publication. Next, to control the selected model, the combined control strategy of nonlinear predictive based on the Lyapunov function is used to ensure the stability of the system.

Conclusion: The results of the implementation of this control strategy on the HVDC power transmission system model in MATLAB soft-ware express the ability of this controller to track the reference input values.

Keywords: Power transmission, VSC-HVDC transmission lines, predictive control, proportional integral controller, model predictive control, stability.

Graphical Abstract

[1]
M. Saeedifard, M. Graovac, R.F. Dias, and R. Iravani, "DC power systems: Challenges and opportunities", In: Power and Energy Society General Meeting, IEEE, 2010, pp. 1-7.
[http://dx.doi.org/10.1109/PES.2010.5589736]
[2]
X. Yang, Z. Lin, and Q. Zheng Trillion, "A review of modular multilevel converters", Zhongguo Dianji Gongcheng Xuebao, vol. 33, no. 6, pp. 1-14, 2013.
[3]
M. Klein, G.J. Rogers, and P. Kundur, "A fundamental study of inter-area oscillations in power systems", IEEE Trans. Power Syst., vol. 6, no. 3, pp. 914-921, 1991.
[http://dx.doi.org/10.1109/59.119229]
[4]
X. Shiyun, W. Ping, and B. Zhao, "Coordinated control strategy of interconnected grid integrated with UHVDC transmission line from Hami to Zhengzhou", Power Syst. Technol., vol. 39, no. 7, pp. 1773-1778, 2015.
[5]
R. Sadikovic, "Use of FACTS devices for power flow control and damping of oscillations in power systems",
[6]
J. Dorn, H. Huang, and D. Retzmann, "Novel Voltage-Sourced Converters for HVDC and FACTS Applications", Cigr’e Symposium Osaka, Japan, 2007.
[7]
S. Chatzivasileiadis, D. Ernst, and G. Andersson, "The Global Grid", Renew. Energy, vol. 57, no. 1, pp. 372-383, 2013.
[http://dx.doi.org/10.1016/j.renene.2013.01.032]
[8]
M.E. Aboul-Ela, A.A. Sallam, J.D. McCalley, and A.A. Fouad, "Damping controller design for power system oscillations using global signals", Power Syst. IEEE Trans, vol. 11, no. 2, pp. 767-773, 1996.
[http://dx.doi.org/10.1109/59.496152]
[9]
M. Imhof, A. Fuchs, G. Andersson, and M. Morari, "Voltage stability control using VSC-HVDC links and model predictive control", In: XIII Symposium of Specialists in Electric Operational and Expansion Planning, XIII SEPOPE, Foz do Iguassu, Brazil, 2014.
[10]
Y. Li, C. Rehtanz, S. Ruberg, L. Luo, and Y. Cao, "Wide-area robust coordination approach of HVDC and FACTS controllers for damping multiple interarea oscillations", IEEE Trans. Power Deliv., vol. 27, no. 1, pp. 1096-1105, 2012.
[http://dx.doi.org/10.1109/TPWRD.2012.2190830]
[11]
P. McNamara, R.R. Negenborn, B. De Schutter, and G. Lightbody, "Optimal coordination of a multiple HVDC link system using centralized and distributed control", Control Syst. Technol. IEEE Trans, vol. 21, no. 2, pp. 302-314, 2012.
[http://dx.doi.org/10.1109/TCST.2011.2180906]
[12]
R. Eriksson, Security-centered coordinated control in AC/DC transmission systems, PhD Thesis, KTH Stockholm, Stockholm: KTH, p. 116, 2008.
[13]
L. Papangelis, M.S. Debry, P. Panciatici, and T.V. Cutsem, "Coordinated supervisory control of multi-terminal HVDC grids: A model predictive control approach", IEEE Trans. Power Syst., vol. 32, no. 6, pp. 4673-4683, 2017.
[http://dx.doi.org/10.1109/TPWRS.2017.2659781]
[14]
Z. Wan, and M.V. Kothare, "An efficient off-line formulation of robust model predictive control using linear matrix inequalities", Automatica, vol. 39, no. 5, pp. 837-846, 2003.
[http://dx.doi.org/10.1016/S0005-1098(02)00174-7]
[15]
M.V. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities", Automatica, vol. 32, no. 10, pp. 1361-1379, 1996.
[http://dx.doi.org/10.1016/0005-1098(96)00063-5]
[16]
J. Liu, "D.M.de.la. Peña,P.D. Christofides, J.F. Davis, “Lyapunov-based model predictive control of nonlinear systems subject to time-varying measurement delays", Int. J. Adapt. Control Signal Process., vol. 23, no. 8, pp. 788-807, 2009.
[http://dx.doi.org/10.1002/acs.1085]
[17]
B. Boukhezzar, and H. Siguerdidjane, "Nonlinear control with wind estimationof a dfig variable speed wind turbine for power capture optimization", Energy Convers. Manage., vol. 50, no. 4, pp. 885-892, 2009.
[http://dx.doi.org/10.1016/j.enconman.2009.01.011]
[18]
M. Mahmood, and P. Mhaskar, "Lyapunov-based modelpredictive control of stochastic nonlinear systems", Automatica, vol. 48, no. 9, pp. 2271-2276, 2012.
[http://dx.doi.org/10.1016/j.automatica.2012.06.033]
[19]
M. Li, W. Huang, N. Tai, and M. Yu, "Lyapunov-Based Large Signal Stability Assessment for VSG Controlled Inverter-Interfaced Distributed Generators", Energies, vol. 11, no. 9, pp. 1-15, 2018.
[20]
M.P. Akter, S. Mekhilef, N.M.L. Tan, and H. Akagi, "Modified model predictive control of a bidirectional AC–DC converter based on Lyapunov function for energy storage systems", IEEE Trans. Ind. Electron., vol. 63, no. 2, pp. 704-715, 2016.
[http://dx.doi.org/10.1109/TIE.2015.2478752]
[21]
M. Kabalan, P. Singh, and D. Niebur, "Large signal lyapunov-based stability studies in microgrids: A review", IEEE Trans, vol. 8, no. 1, pp. 2287-2295, 2017.
[22]
X. Li, and L. Hua, "Stability analysis of grid-connected converters with different implementations of adaptive PR controllers under weak grid conditions", Energies, vol. 11, 2018, no. 8, pp. 1-17
[23]
G. Hug-Glanzmann, "Coordinated power flow control to enhance steady-state security in power systems", In: ETH Zürich, 2008.
[24]
M.E. Aboul-Ela, A.A. Sallam, J. McCalley, and A.A. Fouad, "Damping controller design for power system oscillations using global signals", IEEE Trans. Power Syst., vol. 11, no. 2, pp. 767-773, 1996.
[http://dx.doi.org/10.1109/59.496152]
[25]
M. Mahmoudi, "“A single switch high step-up DC–DC converter with three winding coupled inductor”, Int", In: Trans. Electr. Energ. Syst, 2019.
[26]
Z. Wang, A.C. Bovik, H.R. Sheikh, and E.P. Simoncelli, "Image quality assessment: from error visibility to structural similarity", IEEE Trans. Image Process., vol. 13, no. 4, pp. 600-612, 2004.
[http://dx.doi.org/10.1109/TIP.2003.819861] [PMID: 15376593]