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Differential evolution algorithm for SSSC-based damping controller design considering time delay. (English) Zbl 1231.93030

Summary: Power-system stability improvement by a static synchronous series compensator (SSSC)-based damping controller is thoroughly investigated in this paper. Both local and remote signals with associated time delays are considered in the present study. The design problem of the proposed controller is formulated as an optimization problem, and a Differential Evolution (DE) algorithm is employed to search for the optimal controller parameters. The performances of the proposed controllers are evaluated under different disturbances for both single-machine infinite-bus power system and multi-machine power system. The performance of the proposed controllers with variations in the signal transmission delays has also been investigated. Simulation results are presented and compared with a recently published modern heuristic optimization technique under various disturbances to show the effectiveness and robustness of the proposed approach. The performances of the proposed controllers are also evaluated under \(N - 2\) contingency situation.

MSC:

93B40 Computational methods in systems theory (MSC2010)
93B51 Design techniques (robust design, computer-aided design, etc.)
93B17 Transformations
Full Text: DOI

References:

[1] Hingorani, N. G.; Gyugyi, L., Understanding FACTS: Concepts and Technology of Flexible AC Transmission Systems (2000), IEEE Press: IEEE Press New York
[2] L. Gyugyi, 1998. Solid-state control of electric power in ac transmission systems, in: Proceedings of the International Symposium on Electric Power and Energy Conversion Systems, Invited Paper, No. T-IP 4.; L. Gyugyi, 1998. Solid-state control of electric power in ac transmission systems, in: Proceedings of the International Symposium on Electric Power and Energy Conversion Systems, Invited Paper, No. T-IP 4.
[3] Gyugyi, L., Dynamic compensation of ac transmission lines by solid-state synchronous voltage sources, IEEE Trans. Power Deliv., 9, 904-911 (1994)
[4] Gyugyi, L., Static synchronous series compensator: a solid state approach to the series compensation of transmission lines, IEEE Trans. Power Deliv., 12, 406-417 (1997)
[5] Sen, K. K., SSSC-static synchronous series compensator: theory, modeling, and applications, IEEE Trans. Power Deliv., 13, 241-246 (1998)
[6] Wang, H. F., Static synchronous series compensator to damp power system oscillations, Electr. Power Syst. Res., 54, 113-119 (2000)
[7] Menniti, D., Using a FACTS device controlled by a decentralised control law to damp the transient frequency deviation in a deregulated electric power system, Electr. Power Syst. Res., 72, 289-298 (2004)
[8] Al Jowder, F. A.R.; Ooi, B. T., Series compensation of radial power system by a combination of SSSC and dielectric capacitors, IEEE Trans. Power Deliv., 20, 458-465 (2005)
[9] Ngamroo, I., Robust decentralised frequency stabilisers design of static synchronous series compensators by taking system uncertainties into consideration, Int. J. Electr. Power Energy Syst., 28, 513-524 (2006)
[10] Mihalic, R.; Papic, I., Static synchronous series compensator—a mean for dynamic power flow control in electric power systems, Electr. Power Syst. Res., 45, 65-72 (1998)
[11] Al Jowder, F. A.R., Influence of mode of operation of the SSSC on the small disturbance and transient stability of a radial power system, IEEE Trans. Power Syst., 20, 935-942 (2005)
[12] Castro, M. S., Impacts of the SSSC control modes on small-signal transient stability of a power system, Electr. Power Syst. Res., 77, 1-9 (2007)
[13] Panda, S.; Padhy, N. P., Comparison of particle swarm optimization and genetic algorithm for FACTS-based controller design, Appl. Soft Comput., 8, 1418-1427 (2008)
[14] Panda, S., Power system stability improvement by PSO optimized SSSC-based damping controller, Electr. Power Comput. Syst., 36, 468-490 (2008)
[15] Panda, S.; Padhy, N. P., Optimal location and controller design of STATCOM using particle swarm optimization, J. Franklin Inst., 345, 166-181 (2008) · Zbl 1167.93345
[16] Abido, M. A., Analysis and assessment of STATCOM-based damping stabilizers for power system stability enhancement, Int. J. Electr. Power Energy Syst., 73, 177-185 (2005)
[17] Panda, S., Differential evolutionary algorithm for TCSC-based controller design, Simulation Modelling Pract. Theory, 17, 1618-1634 (2009)
[18] Panda, S., Multi-objective evolutionary algorithm for SSSC-based controller design, Electr. Power Syst. Res., 79, 937-944 (2009)
[19] Panda, S., Application of non-dominated sorting genetic algorithm-II technique for optimal FACTS-based controller design, J. Franklin Inst., 347, 7, 1047-1064 (2009) · Zbl 1201.90102
[20] Soliman, H. M.; Dabroum, A.; Mahmoud, M. S.; Soliman, M., Guaranteed-cost reliable control with regional pole placement of a power system, J. Franklin Inst., 348, 884-898 (2011) · Zbl 1225.93055
[21] Stron, R.; Price, K., Differential evolution—a simple and efficient adaptive scheme for Global Optimization over continuous spaces, J. Global Optim., 11, 341-359 (1995) · Zbl 0888.90135
[22] Eriksson, L.; Oksanen, T.; Mikkola, K., PID controller tuning rules for integrating processes with varying time delays, J. Franklin Inst., 346, 470-487 (2009) · Zbl 1167.93342
[23] Liu, P. L., Stabilization criteria for neutral time delay systems with saturating actuators, J. Franklin Inst., 347, 1577-1588 (2010) · Zbl 1202.93122
[24] Li, H.; Zhou, Qi.; Chen, B.; Liu, H., Parameter-dependent robust stability for uncertain Markovian jump systems with time delay, J. Franklin Inst., 343, 738-748 (2011) · Zbl 1227.93126
[25] Fei-Peng, D.; Shuai-Tian, H., Exponential stability analysis and controller design of fuzzy systems with time-delay, J. Franklin Inst., 348, 865-883 (2011) · Zbl 1225.93068
[26] SimPowerSystems 4.3 User’s Guide. Available from: 〈http://www.mathworks.com/products/simpower/; SimPowerSystems 4.3 User’s Guide. Available from: 〈http://www.mathworks.com/products/simpower/
[27] Kundur, P., Power System Stability and Control (1994), McGraw-Hill: McGraw-Hill New York, 1994
[28] Ray, S., A computational approach to optimal damping controller design for a GCSC, IEEE Trans. Power Deliv., 23, 1673-1681 (2008)
[29] Del Rosso, A. D., A study of TCSC controller design for power system stability improvement, IEEE Trans. Power Syst., 18, 1487-1496 (2003)
[30] Chang, Y.; Xu, Z., A novel SVC supplementary controller based on wide area signals, Electr. Power Syst. Res., 77, 1569-1574 (2007)
[31] Kundur, P., Definition and classification to power system stability, IEEE Trans. Power Syst., 19, 1387-1401 (2004)
[32] Noroozian, M., Robust near-optimal control of power system oscillation with fuzzy logic, IEEE Trans. Power Deliv., 11, 393-400 (1996)
[33] Mishra, S., Genetically optimized neuro-fuzzy IPFC for damping modal oscillations of power system, IEEE Trans. Power Syst., 17, 1140-1147 (2002)
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