A Composite Nonlinear Controller for Power Systems with STATCOM under External Disturbances
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Abstract
This paper concentrates on the design of a composite nonlinear stabilizing state feedback control for power systems with static synchronous compensator (STATCOM) with the help of a combination of backstepping strategy and a nonlinear disturbance approach. The disturbance observer is used to estimate unavoidably external disturbances. Thus, the obtained control law can be used to successfully stabilize the system stability and reject undesired external disturbances. In order to demonstrate the effectiveness of the developed process design, numerical simulation results are provided to indicate that the presented composite controller can improve dynamic performances, rapidly suppress system oscillations of the overall closed-loop dynamics, and despite having inevitably external disturbances, performs better than a conventional backstepping control technique.
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Kanchanaharuthai, A., Konkhum, P., & Wongsurith, K. (2020). A Composite Nonlinear Controller for Power Systems with STATCOM under External Disturbances. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 18(2), 107–117. https://doi.org/10.37936/ecti-eec.2020182.240342
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References
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International Journal of Robust and Nonlinear Control, vol. 14, pp. 891-910, 2004.
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International Journal of Robust and Nonlinear Control, vol. 14, pp.879-890, 2004.
[8] A. Kanchanahanathai, V. Chankong, and K. A. Loparo,``Nonlinear generator excitation and superconducting magnetic energy storage control for transient stability enhancement via immersion and invariance," Transactions of the Institute of Measurement and Control, vol. 37, No. 10, pp. 1217-1231, 2015.
[9] N. G. Hingorani and L. Gyugyi, Understanding FACTS: Concepts and Technology of flexible AC Transmission Systems, IEEE Press, 1999.
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[11] Q. J. Liu, Y. Z. Sun, T. L. Shen, and Y. N. Song,``Adaptive nonlinear co-ordinated excitation and STATCOM based on Hamiltonian structure for multimachine-power-system stability enhancement," IEE Proc. Control Theory and Applications, vol. 150, No. 3, pp. 285-294, 2003.
[12] K. Wang,and M. L. Crow, ``Hamiltonian theory based coordinated nonlinear control of generator excitation and STATCOMs," Proceedings of North American Power Symposium, 2010.
[13] L. Gu, and J. Wang,``Nonlinear coordinated control design of excitation and STATCOM of power systems," Electric Power System Research, vol. 77, No. 7, pp. 788-796, 2007.
[14] B. Zou, and J. Wang, ``Coordinated control for STATCOM and generator excitation based on passivity and backstepping technique," Proceedings of Electric Information and Control Engineering, 2010.
[15] A. Kanchanahanathai, V. Chankong, and K. A. Loparo,~``Transient stability and voltage regulation in multi-machine power systems vis-$\grave{a}$-vis STATCOM and battery energy storage," IEEE Transactions Power Systems, vol. 30, No. 5, pp. 2404-2416, 2015.
[16] A. Kanchanahanathai,~``Immersion and invariance-based non-linear coordinated control for generator excitation and static synchronous compensator for power systems," Electric Power Components and Systems, vol. 42, No. 10, pp. 1004-1015, 2014.
[17] A. Kanchanahanathai, ``Nonlinear adaptive controller design for power systems with STATCOM via immersion and invariance," ECTI Transactions on Electrical Engineering, Electronics, and Communications, vol. 14, No. 2, pp. 35-46, 2016.
[18] A. H. Abolmasoumi and M. Moradi,``Nonlinear T-S fuzzy stabilizer design for power systems including random loads and static synchronous compensator," International Transactions on Electrical Energy Systems, vol. 28, no. 1, pp. 1-19, 2018.
[19] M. Krstic, I. Kanellakopoulos, and P. V. Kokotivic, Nonlinear and Adaptive Control Design, John Willey & Sons, 1995.
[20] S. Li, J. Yang, W.-H. Chen, and X. Chen, Disturbance Observer-Based Control: Methods and Applications} CRC Press, 2014.
[21] H. Sun, S. Li, J. Yang, and L. Guo,``Non-linear disturbance observer-based back-stepping control for airbreathing hypersonic vehicle with mismathced disturbances," IET Ccntrol Theory Applications, vol. 8, No. 17, pp. 1852-1865, 2014.
[22] H. Sun, S. Li, J. Yang, and W. X. Zheng,``Global output regulation for strict-feedback nonlinear systems with mismatched nonvanishing disturbances," International Journal of Robust and Nonlinear Control, vol. 25, pp. 2631-2645, 2015.
[23] A. Kanchanaharuthai, and E. Mujjalinvimut,``Nonlinear disturbance observer-Based backstepping control for a dual excitation and steam-valving system of synchronous generators with external disturbances," International Journal of Innovative Computing, Information and Control, vol. 14, No. 1, pp. 111-126, 2018.
[24] T. Suthisripok, C. Wongrattanapornkul, S. Poonyaniran, and A. Kanchanaharuthai,``Disturbance observer-based control for active suspension systems," International Journal of Innovative Computing, Information and Control , 2018. (Accepted)
[25] D. Ginoya, P. D. Shendge, and S. B. Phadke,``Disturbance observer based sliding mode control of nonlinear mismatched uncertain systems," Communications in Nonlinear Science and Numerical Simulation, vol. 26, pp. 98-107, 2015.
[26] J. Yang, W.-H. Chen, and S. Li,``Non-linear disturbance observer-based robust control for systems with mismatched disturbance/uncertainties," IET Ccntrol Theory Applications, vol. 5, pp. 2053-2062, 2011.
[27] H. Sun, and L. Guo,``Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiply mismatched disturbances," Journal of the Franklin Institute, vol. 351, pp. 1027-1041, 2014.
[28] X. Liu, Z. Liu, J. Shan, and H. Sun,~``Anti-disturbance autopilot design for missile system via finite time intergral sliding mode control method and nonlinear disturbance observer technique," Transactions of the Institute of Measurement and Control, vol. 38, pp. 693-700, 2015.
[29] W. Kim, D. Shin, D. Won, and C. C. Chung,``Disturbance-observer-based position tracking controller in the presence of biased sinusoidal disturbance for electrohydraulic actuators," IEEE Transactions on Ccntrol Systems Technology, vol. 21, pp. 2290-2298, 2013.
[30] H. K. Khalil, Nonlinear Systems, Prentice-Hall, 2002.
[31] C. Qian and W. Lin, Non-smooth stabilizers for nonlinear systems with uncontrollable unstable linearization, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, NSW, pp. 1655-1660, 2000.
[2] A. S.Bazanella, and C. L. Conceicao, ``Transient stability improvement through excitation control,"
International Journal of Robust and Nonlinear Control, vol. 14, pp. 891-910, 2004.
[3] W. Dib W, G. Kenne G, and F. Lamnabhi-Lagarrigue, ``An application of immersion and invariance to transient stability and voltage regulation of power systems with unknown mechanical power," Proceeding of Joint 48th IEEE CDC and 28th CCC, Shanghai, P.R. China, 2009.
[4] W. Dib, R. Ortega, A. Astolfi, and D. Hill, ``Improving transient stability of multi-machine power systems: synchronization via immersion and invariance," Proceedings of American Control Conference, San Francisco, CA, 2011.
[5] M. Galaz M, R. Ortega, A. Bazanella, and A. Stankovic, ``An energy-shaping approach to excitation control of synchronous generators," Automatica, vol. 39, pp. 111-119, 2003.
[6] R. Ortega, M. Galaz, A. Astolfi, Y. Sun, and T. Shen, ``Transient stabilization of multi-machine power systems with nontrivial transfer conductances," IEEE Transactions on Automatic Control, vol. 50, pp. 60-75, 2005.
[7] M.O Paul, and E. P. Gerardo,``Output feedback excitation control of synchronous generators,"
International Journal of Robust and Nonlinear Control, vol. 14, pp.879-890, 2004.
[8] A. Kanchanahanathai, V. Chankong, and K. A. Loparo,``Nonlinear generator excitation and superconducting magnetic energy storage control for transient stability enhancement via immersion and invariance," Transactions of the Institute of Measurement and Control, vol. 37, No. 10, pp. 1217-1231, 2015.
[9] N. G. Hingorani and L. Gyugyi, Understanding FACTS: Concepts and Technology of flexible AC Transmission Systems, IEEE Press, 1999.
[10] Y. H. Song and A. T. John, Flexible AC Transmission Systems (FACTS),London, U.K.: IEE Power and Energy Series 30, 1999.
[11] Q. J. Liu, Y. Z. Sun, T. L. Shen, and Y. N. Song,``Adaptive nonlinear co-ordinated excitation and STATCOM based on Hamiltonian structure for multimachine-power-system stability enhancement," IEE Proc. Control Theory and Applications, vol. 150, No. 3, pp. 285-294, 2003.
[12] K. Wang,and M. L. Crow, ``Hamiltonian theory based coordinated nonlinear control of generator excitation and STATCOMs," Proceedings of North American Power Symposium, 2010.
[13] L. Gu, and J. Wang,``Nonlinear coordinated control design of excitation and STATCOM of power systems," Electric Power System Research, vol. 77, No. 7, pp. 788-796, 2007.
[14] B. Zou, and J. Wang, ``Coordinated control for STATCOM and generator excitation based on passivity and backstepping technique," Proceedings of Electric Information and Control Engineering, 2010.
[15] A. Kanchanahanathai, V. Chankong, and K. A. Loparo,~``Transient stability and voltage regulation in multi-machine power systems vis-$\grave{a}$-vis STATCOM and battery energy storage," IEEE Transactions Power Systems, vol. 30, No. 5, pp. 2404-2416, 2015.
[16] A. Kanchanahanathai,~``Immersion and invariance-based non-linear coordinated control for generator excitation and static synchronous compensator for power systems," Electric Power Components and Systems, vol. 42, No. 10, pp. 1004-1015, 2014.
[17] A. Kanchanahanathai, ``Nonlinear adaptive controller design for power systems with STATCOM via immersion and invariance," ECTI Transactions on Electrical Engineering, Electronics, and Communications, vol. 14, No. 2, pp. 35-46, 2016.
[18] A. H. Abolmasoumi and M. Moradi,``Nonlinear T-S fuzzy stabilizer design for power systems including random loads and static synchronous compensator," International Transactions on Electrical Energy Systems, vol. 28, no. 1, pp. 1-19, 2018.
[19] M. Krstic, I. Kanellakopoulos, and P. V. Kokotivic, Nonlinear and Adaptive Control Design, John Willey & Sons, 1995.
[20] S. Li, J. Yang, W.-H. Chen, and X. Chen, Disturbance Observer-Based Control: Methods and Applications} CRC Press, 2014.
[21] H. Sun, S. Li, J. Yang, and L. Guo,``Non-linear disturbance observer-based back-stepping control for airbreathing hypersonic vehicle with mismathced disturbances," IET Ccntrol Theory Applications, vol. 8, No. 17, pp. 1852-1865, 2014.
[22] H. Sun, S. Li, J. Yang, and W. X. Zheng,``Global output regulation for strict-feedback nonlinear systems with mismatched nonvanishing disturbances," International Journal of Robust and Nonlinear Control, vol. 25, pp. 2631-2645, 2015.
[23] A. Kanchanaharuthai, and E. Mujjalinvimut,``Nonlinear disturbance observer-Based backstepping control for a dual excitation and steam-valving system of synchronous generators with external disturbances," International Journal of Innovative Computing, Information and Control, vol. 14, No. 1, pp. 111-126, 2018.
[24] T. Suthisripok, C. Wongrattanapornkul, S. Poonyaniran, and A. Kanchanaharuthai,``Disturbance observer-based control for active suspension systems," International Journal of Innovative Computing, Information and Control , 2018. (Accepted)
[25] D. Ginoya, P. D. Shendge, and S. B. Phadke,``Disturbance observer based sliding mode control of nonlinear mismatched uncertain systems," Communications in Nonlinear Science and Numerical Simulation, vol. 26, pp. 98-107, 2015.
[26] J. Yang, W.-H. Chen, and S. Li,``Non-linear disturbance observer-based robust control for systems with mismatched disturbance/uncertainties," IET Ccntrol Theory Applications, vol. 5, pp. 2053-2062, 2011.
[27] H. Sun, and L. Guo,``Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiply mismatched disturbances," Journal of the Franklin Institute, vol. 351, pp. 1027-1041, 2014.
[28] X. Liu, Z. Liu, J. Shan, and H. Sun,~``Anti-disturbance autopilot design for missile system via finite time intergral sliding mode control method and nonlinear disturbance observer technique," Transactions of the Institute of Measurement and Control, vol. 38, pp. 693-700, 2015.
[29] W. Kim, D. Shin, D. Won, and C. C. Chung,``Disturbance-observer-based position tracking controller in the presence of biased sinusoidal disturbance for electrohydraulic actuators," IEEE Transactions on Ccntrol Systems Technology, vol. 21, pp. 2290-2298, 2013.
[30] H. K. Khalil, Nonlinear Systems, Prentice-Hall, 2002.
[31] C. Qian and W. Lin, Non-smooth stabilizers for nonlinear systems with uncontrollable unstable linearization, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, NSW, pp. 1655-1660, 2000.