© The Institution of Engineering and Technology
In modern power systems the smooth control of active power flow is one of the major concerns for power industry. In the current study the authors devise an adaptive fractional order robust damping control system for static series synchronous compensator connected to an infinite power transmission network. A detailed non-linear state model is presented with inclusion of parametric uncertainties, disturbances and other non-linearities. A novel fractional order sliding manifold is proposed and based on it an adaptive fractional order controller is derived. The uncertainty in the state model is estimated online using the adaptive control system. The stability and the convergence proof of the closed loop system is verified using fractional order Lyapunov theorem. Furthermore, the proposed control scheme is compared with the classical proportional integral derivative, integer order sliding mode and fractional order controllers under different scenarios. The effectiveness of the proposed control scheme is verified using numerical simulations.
References
-
-
1)
-
2. Ashik, A., Rasheduzzaman, A., Rahul, A.: ‘Design of static synchronous series compensator based damping controller employing invasive weed optimization algorithm’, Springer Plus, 2014, 3, p. 394 (doi: 10.1186/2193-1801-3-394).
-
2)
-
34. Jianyong, Y., Guichao, Y., Zongxia, J.: ‘High dynamic feedback linearization control of hydraulic actuators with backstepping’, J. Syst. Control Eng., 2015, 229, (8), pp. 728–737.
-
3)
-
29. David Young, K., Utkin, V.I., Özgüner, Ü.: A control engineer's guide to sliding mode control, IEEE Trans. Control Syst. Technol., 1999, 7, (3), pp. 328–342 (doi: 10.1109/87.761053).
-
4)
-
25. Miller, K., Ross, B.: ‘An introduction to the fractional calculus and fractional differential equations’ (Wiley Interscience, San Francisco, 1993).
-
5)
-
20. Seshagiri, S., Khalil, H.K.: ‘Robust output feedback regulation of minimum phase nonlinear systems using conditional integrator’, Automatica, 2005, 41, (1), pp. 43–54.
-
6)
-
16. Vadim, U., Jurgen, G., Jingxin, S.: ‘Sliding mode control in electromechanical systems’ (CRC Press, New York, 2009).
-
7)
-
32. Asit, M., Sandipan, P., Prakash, K.R.: ‘Robust fuzzy-sliding mode based UPFC controller for transient stability analysis in autonomous wind diesel PV hybrid system’, IET. Gener. Transm. Distrib., 2016, 10, (5), pp. 1248–1257 (doi: 10.1049/iet-gtd.2015.1000).
-
8)
-
33. Bansal, R.C., Bhatti, T.S., Kumar, V.: ‘Reactive power control of autonomous wind diesel hybrid power system using ANN’. IPEC. Conf., December 2007.
-
9)
-
8. Sobuj, K.R., Pejush, C.S., Munshi, S.A., et al: ‘Novel approach of PID control scheme with UPFC'S for damping of oscillations’, IJCEE, 2012, 4, (2), pp. 104–109.
-
10)
-
21. Sadegh, E.: ‘Robust fractional order sliding mode control of doubly-fed induction generator (DFIG) based wind turbines’, ISA Trans. J. Autom., 2016, 63, pp. 343–354 (doi: 10.1016/j.isatra.2016.03.003).
-
11)
-
12. Ganesh, C., Lalitha, M.O., Divya, P.: ‘An auxiliary fuzzy logic controller for mitigating low frequency oscillations’, IJCSIS, 2014, 12, (11), pp. 13–18.
-
12)
-
22. Nasim, U., Shaoping, W., Irfan, M., et al: ‘Fractional order adaptive fuzzy sliding mode controller for a position servo system subjected to aerodynamic loading and nonlinearities’, Aerosp. Sci. Technol., 2015, 43, pp. 381–387 (doi: 10.1016/j.ast.2015.03.020).
-
13)
-
31. Jianyong, Y., Wenxiang, D., Zongxia, J.: ‘Adaptive control of hydraulic actuators with LuGre model-based friction compensation’, IEEE Trans. Ind. Electron., 2015, 62, (10), pp. 6469–6477 (doi: 10.1109/TIE.2015.2423660).
-
14)
-
11. Mustafa, M.W., Alsaedi, M.A.: ‘Adaptive PID controller based on real base function network identification, and genetic algorithm in automatic voltage regulator system’, IJSRP, 2012, 2, (11), pp. 1–11.
-
15)
-
29. Aghababa, M.P.: ‘A Lyapunov based control scheme for robust stabilization of fractional chaotic systems’, Nonlinear Dyn., 2014, 78, pp. 2129–2140 (doi: 10.1007/s11071-014-1594-8).
-
16)
-
30. Md Ayaz, C., Abu Hena, M.S., Weixiang, S., et al: ‘Robust active disturbance rejection controller design to improve low voltage ride through capability of doubly fed induction generator wind farms’, IET. Renew. Power Gener., 2015, 9, (8), pp. 961–969 (doi: 10.1049/iet-rpg.2014.0321).
-
17)
-
13. Ravindra, S., Veera, R.V.C., Sivanagaraju, S.: ‘Damping power system oscillations by SSSC equipped with a hybrid damping controller’, IJAREEIE, 2013, 2, (7), pp. 3040–3048.
-
18)
-
26. Podlubny, I.: ‘Fractional differential equations’ (Academic Press, New York, 1999).
-
19)
-
6. Onder-Efe, M.: ‘Integral sliding mode control of a quadrotor with fractional order reaching dynamics’, Trans. of the Institute of Measurement and Control, 2011, 33, (8), pp. 985–1003 (doi: 10.1177/0142331210377227).
-
20)
-
23. Liping, C., Ranchao, W., Yigang, H., et al: ‘Adaptive sliding mode control for fractional order uncertain linear systems with nonlinear disturbances’, Int. J. Nonlinear Dyn. Chaos Eng., 2015, 80, pp. 51–58.
-
21)
-
1. Vishnu, P.S.: ‘Static synchronous series compensator (SSSC) an approach for reactive power compensation for the transmission system’, IJIRT, 2014, 1, (10), pp. 15–21.
-
22)
-
15. Perruquetti, W., Barbot, J.P.: ‘Sliding mode control in engineering’ (Marcel Dekker, New York, 2002).
-
23)
-
18. HO, H.F., Wong, Y.K., Rad, A.B.: ‘Adaptive fuzzy sliding mode control with chattering elimination for nonlinear SISO systems’, Simul. Model. Pract. Theory, 2009, 17, (7), pp. 1199–1210 (doi: 10.1016/j.simpat.2009.04.004).
-
24)
-
4. Prechanon, K.: ‘Nonlinear control design of series facts devices for damping power system oscillation’, Am J. Appl. Sci., 2011, 8, (2), pp. 124–128 (doi: 10.3844/ajassp.2011.124.128).
-
25)
-
5. Bongiomo, M., Svensson, J., Angquist, L.: ‘On control of static synchronous series compensator for SSR mitigation’, IEEE Trans. PELS, 2008, 23, (2), pp. 735–737.
-
26)
-
14. Pandey, R.K.: ‘Analysis and design of multi stage LQR UPFC’. Int. Conf. Power, Control and Embedded Systems, Allahabad, 2010, pp. 1–6.
-
27)
-
24. Bai, J., Feng, X.C.: ‘Fractional-order anisotropic diffusion for image de-noising’, IEEE Trans. Image Process., 2007, 16, (10), pp. 2492–2502 (doi: 10.1109/TIP.2007.904971).
-
28)
-
9. Rao, C.K., Sahu, K.B.M., Yellampalli, S., et al: ‘Performance of a fuzzy logic based AVR in SMIB, MMIB system and power flow control using SSSC and IPFC’, IJSER, 2012, 2, (1), pp. 260–268.
-
29)
-
3. Prechanon, K.: ‘Optimal control design of static synchronous series compensator for damping power system oscillation’, J. Comput. Sci., 2011, 7, (6), pp. 844–848 (doi: 10.3844/jcssp.2011.844.848).
-
30)
-
17. Lei-Po, L., Zhu-mu, F., Xiao-Na, S.: ‘Sliding mode control with disturbance observer for a class of nonlinear systems’, IJAC, 2012, 9, (5), pp. 487–491.
-
31)
-
10. Shaikh, S.A., Ahmed, I.: ‘Design of PID controller as an AVR in frequency domain’, Sci. Tech. Dev., 2008, 27, (1), pp. 21–25.
-
32)
-
7. Leonard, L.G.: ‘Power system stability and control’ (CRC Press, New York, 2012).
-
33)
-
6. Narne, R., Panda, P.C., Therattil, J.P.: ‘Genetic algorithm based simultaneous coordination of PSS and FACTS controllers for power oscillations damping’. IEEE Third Int. Conf. Sustainable Energy Technologies, Kathmandu, 2012, pp. 85–90.
-
34)
-
27. Matignon, D.: ‘Stability properties for generalized fractional differential systems’, ESAIM., Fractional Differ. Syst. Models Methods Appl., 1998, 5, pp. 145–158.
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