Adaptive Fuzzy Type-2 Synergetic Control Based on Bat Optimization for Multi-Machine Power System Stabilizers
Abstract
A new, adaptive, fuzzy type-2 fast terminal, synergetic multi-machine power system stabilizer is proposed in this study, based on the Bat algorithm. The time spent to reach the equilibrium point, from any initial state, is guaranteed to be finite. The adaptive fuzzy type-2 design is applied to estimate the unknown functions of a multi-machine power system. The parameters of the fast terminal synergetic control are optimized, using bat metaheuristic method. In order to test the robustness of the proposed stabilizer, three load conditions, of the multi-machine power system are studied. A comparison of the proposed adaptive fuzzy type-2 synergetic power system stabilizer with bat conventional approach is presented, indicating improved performance. The control system stability is assessed by the second theorem of Lyapunov and is proven to be asymptotically stable.
Keywords:
adaptive fuzzy type-2 design, fast terminal synergetic control, bat algorithm, Lyapunov stability, power system stabilizerDownloads
References
F. P. Demello, “Concepts of synchronous machine stability as affected by excitation control”, IEEE Transactions on Power Appparatus and Systems, Vol. 88, No. 4, pp. 316-329, 1969 DOI: https://doi.org/10.1109/TPAS.1969.292452
K. Tang, G. K. Venayagamoorthy, “Damping inter-area oscillations using virtual generator based power system stabilizer”, Electric Power Systems Research, Vol. 129, pp. 126–141, 2015 DOI: https://doi.org/10.1016/j.epsr.2015.08.004
E. V. Larsen, D. A. Swann, “Applying power system stabilizers part II: Performance objectives and tuning concepts”, IEEE Transactions on Power Apparatus and Systems, Vol. 100, No. 6, pp. 3025–3033, 1981 DOI: https://doi.org/10.1109/TPAS.1981.316410
P. Kundur, N. J. Balu, M. G. Lauby, Power System Stability and Control, McGraw-Hill, 1994
P. M. Anderson, A. A. Fouad, H. Happ, Power System Control and Stability, IEEE, 1979 DOI: https://doi.org/10.1109/TSMC.1979.4310158
A. Ghosh, G. Ledwich, O. P. Malik, G. S. Hope, “Power system stabilizer based on adaptive control techniques”, IEEE Transactions on Power Apparatus and Systems, Vol. 103, No. 8, pp. 1983–1989, 1984 DOI: https://doi.org/10.1109/TPAS.1984.318503
S. J. Cheng, Y. S. Chow, O. P. Malik, G. S. Hope, “An adaptive synchronous machine stabilizer”, IEEE Transactions on Power Systems, Vol. 1, No. 3, pp. 101–107, 1986 DOI: https://doi.org/10.1109/TPWRS.1986.4334961
H. M. Soliman, H. A. Yousef, “Saturated robust power system stabilizers”, International Journal of Electrical Power & Energy Systems, Vol. 73, pp. 608–614, 2015 DOI: https://doi.org/10.1016/j.ijepes.2015.05.045
A. Y. Sivaramakrishnan, M. V. Hariharan, M. C. Srisailam, “Design of variable-structure load-frequency controller using pole assignment technique”, International Journal of Control, Vol. 40, No. 3, pp. 487–498, 1984 DOI: https://doi.org/10.1080/00207178408933289
M. L. Kothari, J. Nanda, K. Bhattacharya, “Design of variable structure power system stabilisers with desired eigenvalues in the sliding mode”, IEE Proceedings C-Generation, Transmission and Distribution, Vol. 140, No. 4, pp. 263–268, 1993 DOI: https://doi.org/10.1049/ip-c.1993.0039
K. Bhattacharya, M. L. Kothari, J. Nanda, “Design of discrete-mode variable structure power system stabilizers”, International Journal of Electrical Power & Energy Systems, Vol. 17, No. 6, pp. 399–406, 1995 DOI: https://doi.org/10.1016/0142-0615(94)00010-7
J. Talaq, “Optimal power system stabilizers for multi machine systems”, International Journal of Electrical Power & Energy Systems, Vol. 43, No. 1, pp. 793–803, 2012 DOI: https://doi.org/10.1016/j.ijepes.2012.06.030
F. M. Adjeroud, F. Djahli, A. Mayouf, T. Devers, “A coordinated genetic based type-2 fuzzy stabilizer for conventional and superconducting generators”, Electric Power Systems Research, Vol. 129, pp. 51–61, 2015 DOI: https://doi.org/10.1016/j.epsr.2015.07.014
M. S. Mahmoud, H. M. Soliman, “Design of robust power system stabilizer based on particle swarm optimization”, Circuits and Systems, Vol. 3, No. 1, pp. 82-89, 2012 DOI: https://doi.org/10.4236/cs.2012.31011
A. S. Oshaba, E. S. Ali, S. A. Elazim, “MPPT control design of PV system supplied SRM using BAT search algorithm”, Sustainable Energy, Grids and Networks, Vol. 2, pp. 51–60, 2015 DOI: https://doi.org/10.1016/j.segan.2015.04.002
A. H. Gandomi, X. S. Yang, “Chaotic bat algorithm”, Journal of Computational Science, Vol. 5, No. 2, pp. 224–232, 2014 DOI: https://doi.org/10.1016/j.jocs.2013.10.002
M. R. Sathya, M. M. T. Ansari, “Load frequency control using bat inspired algorithm based dual mode gain scheduling of PI controllers for interconnected power system”, International Journal of Electrical Power & Energy Systems, Vol. 64, pp. 365–374, 2015 DOI: https://doi.org/10.1016/j.ijepes.2014.07.042
D. K. Sambariya, R. Prasad, “Robust tuning of power system stabilizer for small signal stability enhancement using metaheuristic bat algorithm”, International Journal of Electrical Power & Energy Systems, Vol. 61, pp. 229–238, 2014 DOI: https://doi.org/10.1016/j.ijepes.2014.03.050
E. S. Ali, “Optimization of power system stabilizers using BAT search algorithm”, International Journal of Electrical Power & Energy Systems, Vol. 61, pp. 683–690, 2014 DOI: https://doi.org/10.1016/j.ijepes.2014.04.007
A. Kolesnikov, G. Veselov, and A. Kolesnikov, “Modern applied control theory: synergetic approach in control theory,” TRTU, Moscow, Taganrog, Russia, pp. 4477–4479, 2000
A. Kolesnikov, G. Veselov, A. Monti, F. Ponci, E. Santi, R. Dougal, “Synergetic synthesis of DC-DC boost converter controllers: τheory and experimental analysis”, Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition, Dallas, USA, March 10-14, 2002
Z. Jiang, “Design of a nonlinear power system stabilizer using synergetic control theory”, Electric Power Systems Research, Vol. 79, No. 6, pp. 855–862, 2009 DOI: https://doi.org/10.1016/j.epsr.2008.11.006
X. S. Yang, “A new metaheuristic bat-inspired algorithm”, Nature Inspired Cooperative Strategies for Optimization, pp. 65–74, 2010 DOI: https://doi.org/10.1007/978-3-642-12538-6_6
X. S. Yang, X. He, “Bat algorithm: literature review and applications”, International Journal of Bio-Inspired Computation, Vol. 5, No. 3, pp. 141–149, 2013 DOI: https://doi.org/10.1504/IJBIC.2013.055093
E. Nechadi, M. N. Harmas, A. Hamzaoui, N. Essounbouli, “Type-2 fuzzy based adaptive synergetic power system control”, Electric Power Systems Research, Vol. 88, pp. 9–15, 2012 DOI: https://doi.org/10.1016/j.epsr.2012.01.009
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