An Adaptive Sliding Mode Control for Single Machine Infinite Bus System under Unknown Uncertainties

(1) * Magdi Sadek Mahmoud Mail (King Fahd University of Petroleum and Minerals, Saudi Arabia)
(2) Ali Alameer Mail (Systems Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia)
(3) Mutaz M. Hamdan Mail (Systems Engineering Department, King Fahd University of Petroleum & Minerals, Saudi Arabia)
*corresponding author

Abstract


The inherent uncertainties in a Single Machine Infinite Bus System (SMIBS) are governed by unmodeled dynamics or large disturbances such as the system's faults. The existence of these uncertainties demands robust controllers to guarantee the system's asymptotic stability under such exacting conditions. In this work, we propose an Adaptive Sliding Mode Control (ASMC) design implemented on a fifth-order nonlinear SMIBS to handle those uncertainties without prior knowledge about its upper bounds. We develop the ASMC with gains of two nested adaptive layers to asymptotically stabilize the system's internal states, the machine's terminal voltage, and power angle within a region of unknown bounded uncertainties while mitigating the chattering phenomena associated with conventional Sliding Mode Control (SMC). To verify the design's effectiveness and prove the conducted Lyapunov theoretical stability analysis, we simulate the occurrence of a large disturbance represented by a 3-phase fault at the system's universal bus. The results show that the ASMC can successfully achieve asymptotic stable output errors and stabilizing the SMIBS internal states after the clearance of the fault. Moreover, the ASMC noticeably outperforms the SMC in chattering mitigation, where the ASMC's signal is significantly smoother than that of the SMC.

Keywords


Synchronous Machine; Synchronous Machine Infinite Bus; Adaptive Sliding Mode Control; Equilibrium Points; Nonlinear System

   

DOI

https://doi.org/10.31763/ijrcs.v1i3.351
      

Article metrics

10.31763/ijrcs.v1i3.351 Abstract views : 4785 | PDF views : 257

   

Cite

   

Full Text

Download

References


P. S. Kundur, Power System Stability, CRC press, 2012. https://www.taylorfrancis.com/chapters/edit/10.4324/b12113-10/power-system-stability-prabha-kundur

M. Fatima, H. Assia, and H. Habib, “Adaptive Nonlinear Control of a Synchronous Generator”. Carpathian Journal of Electronic and Computer Engineering, vol. 11, no. 2, pp. 39-43, 2018. http://dx.doi.org/10.2478/cjece-2018-0017

M. Šundrica, “Synchronous Machine Nonlinear Control System Based on Feedback Linearization and Deterministic Observers,” In Control Theory in Engineering, p. 145, IntechOpen, 2019. https://dx.doi.org/10.5772/intechopen.89420

W. Gao, A. P. S. Meliopoulos, E. V. Solodovnik, and R. Dougal, “A nonlinear model for studying synchronous machine dynamic behavior in phase coordinates,” In 2005 IEEE International Conference on Industrial Technology, pp. 1092-1097, IEEE, 2005. https://doi.org/10.1109/ICIT.2005.1600798

M. S. Sadabadi, M. Karrari, and O. P. Malik, “Identification of Synchronous Generator Using Nonlinear Feedback Model,” IFAC Proceedings Volumes, vol. 41, no. 2, pp. 10371-10376, 2008. https://doi.org/10.3182/20080706-5-KR-1001.01757

A. Fodor, Model Analysis, Parameter Estimation and Control of a Synchronous Generator, Doctoral Dissertation, 2015. http://real-phd.mtak.hu/588/1/Fodor_Attila_dissertation.pdf

O. Akhrif, F. Okou, L. A. Dessaint, and R. Champagne, “Multi-input multi-output feedback linearization of a synchronous generator,” In Proceedings of 1996 Canadian Conference on Electrical and Computer Engineering, Vol. 2, pp. 586-590 1996. IEEE. https://doi.org/10.1109/CCECE.1996.548221

H. Khalil, Nonlinear systems, 2nd ed, Upper Saddle River, NJ: Prentice Hall, pp. 203-204, 2002.

S. Wei, Y. Zhou, and Y. Huang, “Synchronous motor-generator pair to enhance small signal and transient stability of power system with high penetration of renewable energy,” IEEE Access, vol. 5, pp. 11505-11512, 2017. https://doi.org/10.1109/ACCESS.2017.2716103

J. Chen, and T. O'Donnell, “Parameter constraints for virtual synchronous generator considering stability,” IEEE Transactions on Power Systems, vol. 34, no. 3, pp. 2479-2481, 2019. https://doi.org/10.1109/TPWRS.2019.2896853

P. Satapathy, S. Dhar, and P. K. Dash, “Stability improvement of PV-BESS diesel generator-based microgrid with a new modified harmony search-based hybrid firefly algorithm,” IET Renewable Power Generation, vol. 11, no. 5, pp. 566-577, 2017. http://dx.doi.org/10.1049/iet-rpg.2016.0116

S. Wei, Y. Zhou, and Y. Huang, 2017. “Synchronous motor-generator pair to enhance small signal and transient stability of power system with high penetration of renewable energy,” IEEE Access, vol. 5, pp.11505-11512. https://doi.org/10.1109/ACCESS.2017.2716103

X. Haizhen, Z. Xing, L. Fang, M. Fubin, S. Rongliang, and N. Hua, 2015, November. “An improved virtual synchronous generator algorithm for system stability enhancement,” In 2015 IEEE 2nd International Future Energy Electronics Conference (IFEEC), pp. 1-6, IEEE, 2015. https://doi.org/10.1109/IFEEC.2015.7361571

N. A. Masood, R. Yan, T. K. Saha, and S. Bartlett, ‘‘Post-retirement utilisation of synchronous generators to enhance security performances in a wind dominated power system,’’ IET Gener. Transm. Distrib., vol. 10, no. 13, pp. 3314–3321, Oct. 2016. http://dx.doi.org/10.1049/iet-gtd.2016.0267

"IEEE Guide for Synchronous Generator Modeling Practices and Parameter Verification with Applications in Power System Stability Analyses," in IEEE Std 1110-2019 (Revision of IEEE Std 1110-2002), vol., no., pp.1-92, 2 March 2020. https://doi.org/10.1109/IEEESTD.2020.9020274

A. Levant, “Higher-order sliding modes, differentiation and output-feedback control,” International journal of Control, vol. 76, no. 9-10, pp. 924-941, 2003. http://dx.doi.org/10.1080/0020717031000099029

V. I. Utkin and A. S. Poznyak. “Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method,” Automatica, vol. 49, no. 1, pp.39-47, 2013. http://dx.doi.org/10.1016/j.automatica.2012.09.008

C. Edwards, and Y. B. Shtessel, “Adaptive continuous higher order sliding mode control,” Automatica, 65, pp. 183-190. https://doi.org/10.1016/j.automatica.2015.11.038

V. I. Utkin, Sliding modes in control and optimization, Springer Science & Business Media, 2013.

Y. Chang and C. C. Wen, “Sliding mode control for the synchronous generator,” International Scholarly Research Notices, 2014. http://dx.doi.org/10.1155/2014/256504

A. A. Awelewa, I. A. Samuel, J. Katende, and A. F. Agbetuyi, “Synchronous Generator Excitation Chatter-Free Sliding Mode Controller,” Asian Transactions on Engineering, vol. 2, no, 5, p. 57, 2012. http://eprints.covenantuniversity.edu.ng/id/eprint/3134

C. Edwards and S. K. Spurgeon, “On the development of discontinuous observers,” International Journal of control, vol. 59, no. 5, pp. 1211-1229, 1994. https://doi.org/10.1080/00207179408923128

A. Chalanga, S. Kamal, L. M. Fridman, B. Bandyopadhyay, and J. A. Moreno, “Implementation of super-twisting control: Super-twisting and higher order sliding-mode observer-based approaches,” IEEE Transactions on Industrial Electronics, vol. 63 no. 6, pp. 3677-3685, 2016. https://doi.org/10.1109/TIE.2016.2523913

Y. Shtessel, L. Fridman, and F. Plestan, “Adaptive sliding mode control and observation,” International Journal of Control, vol. 89, no. 9, pp. 1743-1746, 2016. https://doi.org/10.1080/00207179.2016.1194531

A. S. S. Abadi, P. A. Hosseinabadi, and S. Mekhilef, “Two novel approaches of NTSMC and ANTSMC synchronization for smart grid chaotic systems,” Technology and Economics of Smart Grids and Sustainable Energy, vol. 3, no. 1, pp. 1-14, 2018. https://doi.org/10.1007/s40866-018-0050-0

P. A. Hosseinabadi, A. S. S. Abadi, S. Mekhilef, and H. R. Pota, “Two novel approaches of adaptive finite‐time sliding mode control for a class of single‐input multiple‐output uncertain nonlinear systems,” IET Cyber‐Systems and Robotics, vol. 3, no. 2, pp. 173-183, 2021. http://dx.doi.org/10.1049/csy2.12012

C. Edwards and Y. Shtessel, “Enhanced continuous higher order sliding mode control with adaptation,” Journal of the Franklin Institute, vol. 356, no. 9, pp. 4773-4784, 2019. http://dx.doi.org/10.1016/j.jfranklin.2018.12.026

S. Roy, S. Baldi, and L. M. Fridman, “On adaptive sliding mode control without a priori bounded uncertainty,” Automatica, vol. 111, p. 108650, January 2020. http://dx.doi.org/10.1016/j.automatica.2019.108650


Refbacks

  • There are currently no refbacks.


Copyright (c) 2021 Magdi Sadek Mahmoud, Ali Alameer, Mutaz M. Hamdan

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


International Journal of Robotics and Control Systems
e-ISSN: 2775-2658
Website: https://pubs2.ascee.org/index.php/IJRCS
Email: ijrcs@ascee.org cc to alfian.maarif@te.uad.ac.id
Published by: Association for Scientific Computing Electronics and Engineering (ASCEE)
Office: Jalan Janti, Karangjambe 130B, Banguntapan, Bantul, Daerah Istimewa Yogyakarta, Indonesia