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Volume 7 Issue 1
Jan.  2020

IEEE/CAA Journal of Automatica Sinica

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Maddela Chinna Obaiah and Bidyadhar Subudhi, "A Delay-Dependent Anti-Windup Compensator for Wide-Area Power Systems With Time-Varying Delays and Actuator Saturation," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 106-117, Jan. 2020. doi: 10.1109/JAS.2019.1911558
Citation: Maddela Chinna Obaiah and Bidyadhar Subudhi, "A Delay-Dependent Anti-Windup Compensator for Wide-Area Power Systems With Time-Varying Delays and Actuator Saturation," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 106-117, Jan. 2020. doi: 10.1109/JAS.2019.1911558

A Delay-Dependent Anti-Windup Compensator for Wide-Area Power Systems With Time-Varying Delays and Actuator Saturation

doi: 10.1109/JAS.2019.1911558
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  • In this paper, a delay-dependent anti-windup compensator is designed for wide-area power systems to enhance the damping of inter-area low-frequency oscillations in the presence of time-varying delays and actuator saturation using an indirect approach. In this approach, first, a conventional wide-area damping controller is designed by using $ H_{\infty} $ output feedback with regional pole placement approach without considering time-varying delays and actuator saturation. Then to mitigate the effect of both time-varying delays and actuator saturation, an add-on delay-dependent anti-windup compensator is designed. Based on generalized sector conditions, less conservative delay-dependent sufficient conditions are derived in the form of a linear matrix inequality (LMI) to guarantee the asymptotic stability of the closed-loop system in the presence of time-varying delays and actuator saturation by using Lyapunov-Krasovskii functional and Jensen integral inequality. Based on sufficient conditions, the LMI-based optimization problem is formulated and solved to obtain the compensator gain which maximizes the estimation of the region of attraction and minimizes the upper bound of $ L_{2} $-gain. Nonlinear simulations are performed first using MATLAB/Simulink on a two-area four-machine power system to evaluate the performance of the proposed controller for two operating conditions, e.g., 3-phase to ground fault and generator 1 terminal voltage variation. Then the proposed controller is implemented in real-time on an OPAL-RT digital simulator. From the results obtained it is verified that the proposed controller provides sufficient damping to the inter-area oscillations in the presence of time-varying delays and actuator saturation and maximizes the estimation of the region of attraction.

     

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  • [1]
    C. Lu, Y. Zhao, K. Men, L. Tu, and Y. Han, " Wide-area power system stabiliser based on model-free adaptive control,” IET Control Theory &Applications, vol. 9, no. 13, pp. 1996–2007, 2015.
    [2]
    R. Yousefian and S. Kamalasadan, " Energy function inspired value priority based global wide-area control of power grid,” IEEE Trans. Smart Grid, vol. 9, no. 2, pp. 552–563, 2018.
    [3]
    J. Zhang, C. Chung, and Y. Han, " A novel modal decomposition control and its application to PSS design for damping interarea oscillations in power systems,” IEEE Trans. Power Systems, vol. 27, no. 4, pp. 2015–2025, 2012. doi: 10.1109/TPWRS.2012.2188820
    [4]
    I. Kamwa, R. Grondin, and Y. Hebert, " Wide-area measurement based stabilizing control of large power systems-a decentralized/hierarchical approach,” IEEE Trans. Power Systems, vol. 16, no. 1, pp. 136–153, 2001. doi: 10.1109/59.910791
    [5]
    J. Duan, H. Xu, and W. Liu, " Q-learning based damping control of wide-area power systems under cyber uncertainties,” IEEE Trans. Smart Grid, vol. 9, no. 6, pp. 6408–6418, 2018.
    [6]
    Y. Li, Y. Zhou, F. Liu, Y. Cao, and C. Rehtanz, " Design and implementation of delay-dependent wide-area damping control for stability enhancement of power systems,” IEEE Trans. Smart Grid, vol. 8, no. 4, pp. 1831–1842, 2017. doi: 10.1109/TSG.2015.2508923
    [7]
    A. K. Singh, R. Singh, and B. C. Pal, " Stability analysis of networked control in smart grids,” IEEE Trans. Smart Grid, vol. 6, no. 1, pp. 381–390, 2015. doi: 10.1109/TSG.2014.2314494
    [8]
    W. Yao, L. Jiang, Q. Wu, J. Wen, and S. Cheng, " Delay-dependent stability analysis of the power system with a wide-area damping controller embedded,” IEEE Trans. Power Systems, vol. 26, no. 1, pp. 233–240, 2011. doi: 10.1109/TPWRS.2010.2093031
    [9]
    B. P. Padhy, S. C. Srivastava, and N. K. Verma, " A wide-area damping controller considering network input and output delays and packet drop,” IEEE Trans. Power Systems, vol. 32, no. 1, pp. 166–176, 2017. doi: 10.1109/TPWRS.2016.2547967
    [10]
    M. Sun, X. Nian, L. Dai, and H. Guo, " The design of delay-dependent wide-area DOFC with prescribed degree of stability a for damping interarea low-frequency oscillations in power system,” ISA Trans., vol. 68, pp. 82–89, 2017. doi: 10.1016/j.isatra.2017.03.003
    [11]
    T. Hu and Z. Lin, Control Systems With Actuator Saturation: Analysis and Design. Springer Science & Business Media, 2001.
    [12]
    X.-Q. Zhang and J. Zhao, " L2-gain analysis and anti-windup design of discrete-time switched systems with actuator saturation,” Int. J. Automation and Computing, vol. 9, no. 4, pp. 369–377, 2012. doi: 10.1007/s11633-012-0657-x
    [13]
    Y.-Y. Cao, L. Zongli, and D. G. Ward, " An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation,” IEEE Trans. Automatic Control, vol. 47, no. 1, pp. 140–145, 2002. doi: 10.1109/9.981734
    [14]
    T. Hu, A. R. Teel, and L. Zaccarian, " Stability and performance for saturated systems via quadratic and nonquadratic lyapunov functions,” IEEE Trans. Automatic Control, vol. 51, no. 11, pp. 1770–1786, 2006. doi: 10.1109/TAC.2006.884942
    [15]
    H. Sussmann, E. Sontag, and Y. Yang, " A general result on the stabilization of linear systems using bounded controls,” in Proc. 32nd IEEE Conf. Decision and Control, pp. 1802–1807, 1993.
    [16]
    M. Jungers and S. Tarbouriech, " Anti-windup strategies for discrete-time switched systems subject to input saturation,” Int. J. Control, vol. 89, no. 5, pp. 919–937, 2016. doi: 10.1080/00207179.2015.1105384
    [17]
    H. Xin, D. Gan, Z. Qu, and J. Qiu, " Impact of saturation nonlinearities/disturbances on the small-signal stability of power systems: an analytical approach,” Electric Power Systems Research, vol. 78, no. 5, pp. 849–860, 2008. doi: 10.1016/j.jpgr.2007.06.006
    [18]
    T. Nguyen and R. Gianto, " Optimal design for control coordination of power system stabilisers and flexible alternating current transmission system devices with controller saturation limits,” IET Generation,Transmission &Distribution, vol. 4, no. 9, pp. 1028–1043, 2010.
    [19]
    J. Fang, W. Yao, Z. Chen, J. Wen, and S. Cheng, " Design of anti-windup compensator for energy storage-based damping controller to enhance power system stability,” IEEE Trans. Power Systems, vol. 29, no. 3, pp. 1175–1185, 2014. doi: 10.1109/TPWRS.2013.2291378
    [20]
    H. M. Soliman and H. A. Yousef, " Saturated robust power system stabilizers,” Int. J. Electrical Power &Energy Systems, vol. 73, pp. 608–614, 2015.
    [21]
    M. E. Raoufat, K. Tomsovic, and S. M. Djouadi, " Power system supplementary damping controllers in the presence of saturation,” in Proc. IEEE Conf. Power and Energy Illinois (PECI), 2017, pp. 1–6.
    [22]
    Y. Wang, Y.-Y. Cao, and Y. Sun, " Anti-windup compensator gain design for time-delay systems with constraints,” Acta Automatica Sinica, vol. 32, no. 1, pp. 1–8, 2006.
    [23]
    Y. He, Q.-G. Wang, L. Xie, and C. Lin, " Further improvement of free-weighting matrices technique for systems with time-varying delay,” IEEE Trans. Automatic Control, vol. 52, no. 2, pp. 293–299, 2007. doi: 10.1109/TAC.2006.887907
    [24]
    L. Zhang, E.-K. Boukas, and A. Haidar, " Delay-range-dependent control synthesis for time-delay systems with actuator saturation,” Automatica, vol. 44, no. 10, pp. 2691–2695, 2008. doi: 10.1016/j.automatica.2008.03.009
    [25]
    S. Xu and J. Lam, " A survey of linear matrix inequality techniques in stability analysis of delay systems,” Int. J. Systems Science, vol. 39, no. 12, pp. 1095–1113, 2008. doi: 10.1080/00207720802300370
    [26]
    K. Gu, J. Chen, and V. L. Kharitonov, Stability of Time-Delay Systems. Springer Science & Business Media, 2003.
    [27]
    A. Seuret and F. Gouaisbaut, " Wirtinger-based integral inequality: application to time-delay systems,” Automatica, vol. 49, no. 9, pp. 2860–2866, 2013. doi: 10.1016/j.automatica.2013.05.030
    [28]
    H.-B. Zeng, Y. He, M. Wu, and J. She, " Free-matrix-based integral inequality for stability analysis of systems with time-varying delay,” IEEE Trans. Automatic Control, vol. 60, no. 10, pp. 2768–2772, 2015. doi: 10.1109/TAC.2015.2404271
    [29]
    P. Park, W. I. Lee, and S. Y. Lee, " Auxiliary function-based integral inequalities for quadratic functions and their applications to timedelay systems,” J. Franklin Institute, vol. 352, no. 4, pp. 1378–1396, 2015. doi: 10.1016/j.jfranklin.2015.01.004
    [30]
    A. Seuret and F. Gouaisbaut, " Hierarchy of LMI conditions for the stability analysis of time-delay systems,” Systems &Control Letters, vol. 81, pp. 1–7, 2015.
    [31]
    P. Park, J. W. Ko, and C. Jeong, " Reciprocally convex approach to stability of systems with time-varying delays,” Automatica, vol. 47, no. 1, pp. 235–238, 2011. doi: 10.1016/j.automatica.2010.10.014
    [32]
    B. Pal and B. Chaudhuri, Robust Control in Power System. New York, Springer, 2005.
    [33]
    M. G. Chiang and R. Y. Safonov, " A Schur method for balanced model reduction,” IEEE Trans. Automatic Control, vol. AC-34, pp. 729–733, 1989.
    [34]
    P. Gahinet, " H design with pole placement constraints: an LMI approach,” IEEE Trans. Automatic Control, vol. 45, no. 3, pp. 358–367, 1996.
    [35]
    S. Tarbouriech, G. Garcia, J. M. G. da Silva Jr, and I. Queinnec, Stability and Stabilization of Linear Systems With Saturating Actuators. Springer Science & Business Media, 2011.
    [36]
    L. Li, W. Zou, and S. Fei, " Event-based dynamic output-feedback controller design for networked control systems with sensor and actuator saturations,” J. Franklin Institute, vol. 354, no. 11, pp. 4331–4352, 2017. doi: 10.1016/j.jfranklin.2017.02.021
    [37]
    H. D. Choi, C. K. Ahn, P. Shi, L. Wu, and M. T. Lim, " Dynamic output-feedback dissipative control for T-S fuzzy systems with timevarying input delay and output constraints,” IEEE Trans. Fuzzy Systems, vol. 25, no. 3, pp. 511–526, 2017. doi: 10.1109/TFUZZ.2016.2566800
    [38]
    M. Rehan, N. Iqbal, and K.-S. Hong, " Delay-range-dependent control of nonlinear time-delay systems under input saturation,” Int. J. Robust and Nonlinear Control, vol. 26, no. 8, pp. 1647–1666, 2016. doi: 10.1002/rnc.v26.8
    [39]
    C.-K. Zhang, Y. He, L. Jiang, and M. Wu, " Notes on stability of time-delay systems: bounding inequalities and augmented Lyapunovkrasovskii functionals,” IEEE Trans. Automatic Control, vol. 62, no. 10, pp. 5331–5336, 2017. doi: 10.1109/TAC.2016.2635381
    [40]
    P. Kundur, N. J. Balu, and M. G. Lauby, Power System Stability and Control. McGraw-hill New York, 1994.
    [41]
    Z. Jiang, G. Konstantinou, Z. Zhong, and P. Acuna, " Real-time digital simulation based laboratory test-bench development for research and education on solar PV systems,” in Proc. IEEE Conf. Universities Power Engineering Conference (AUPEC), 2017, pp. 1–6.

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    Highlights

    • A new delay-dependent anti-windup compensator is designed for inter-area oscillations.
    • Actuator saturation effect represented by a generalized sector condition.
    • A new L-K functional proposed to include the effect of time-varying delays.
    • Delay-dependent stabilization conditions derived in LMI using proposed L-K functional.
    • The designed DDAWC with H-infinity controller improves the closed-loop performance.

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