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http://dx.doi.org/10.5207/JIEIE.2002.16.6.040

GA based Selection Method of Weighting Matrices in LQ Controller for SVC  

허동렬 (동아대 정보기술연구소)
이정필 (동아대 정보기술연구소)
주석민 (창원대 메카트로닉스 공학부)
정형환 (동아대 공대 전기전자컴퓨터공학부)
Publication Information
Journal of the Korean Institute of Illuminating and Electrical Installation Engineers / v.16, no.6, 2002 , pp. 40-50 More about this Journal
Abstract
In this paper, we present a GA(Genetic Algorithm) approach to select weighting matrices of an optimal LQ(Linear Quadratic) controller for SVC(Static VAR Compensator). A SVC, one of the FACTS(Flexible AC Transmission System), constructed by a FC(Fixed Capacitor) and a TCR(Thyristor Controlled Reactor), was designed and implemented to improve the damping of a synchronous generator, as well as to control the system voltage Also, a design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices which is not a trivial solution is usually carried out by trial and error. We proposed an efficient method using GA of finding weighting matrices for optimal control law. Thus, we proved the usefulness of proposed method to improve the stability of single machine-infinite bus with SVC system by eigenvalues analysis and simulation.
Keywords
Weighting Matrices; Linear Quadratic(LQ) Controller; Genetic Algorithm(GA); Static VAR Compensator(SVC);
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  • Reference
1 Yao-nan Yu, “Electric Power System Dynamic”, Academic Press, INC, 1983.
2 Hsu. Y. Y. and Cheng. C. H., “Design of a Static VAR Compensator Using Model Reference Adaptive Control”, Electric Power System Research, No. 13. pp. 129-138, 1987.
3 M. H. Amin, “Optimal pole shifting for continuous multi-variable linear systems”, INT. J. CONTROL, Vol. 41, No. 3, pp. 701-707, 1985.   DOI   ScienceOn
4 IEEE FACTS Working Group, FACTS Applications, IEEE Power Eng. Society, 1995.
5 P. M. Anderson and A. A. Found, “Power System Control and Stability”, IEEE Press. New York, 1993.
6 Y. N. Yu and C. Siggers, “Stabilization and optimal control signals for a power systems”, IEEE Transactions, Vol. PAS-90, pp. 1469-1481, 1971.   DOI   ScienceOn
7 A. Varsek, T. Vrbancic and B. Filipic, “Genetic Algorithms in Controller Design and Tuning”, IEEE Trans. on Systems, Man and Cybernetics, Vol. 23, No. 5, pp. 1330-1339, Sept. 10ct, 1993.   DOI   ScienceOn
8 H. H. Chung, D. R. Hur, J. P. Lee and Y. P. Wang, “A Design of Power System Stabilization for SVC System Using a RVEGA”, Trans. KIEE, Vol. 50, No. 7, pp. 324-332, 2001.   과학기술학회마을
9 K. S. Moon, K. M. Son, T. G. Lee, S. K. Lee, J. K. Park, “Coordinated Control of SVC and ULTC Considering Reactive Power Compensation Margin”, Trans. KIEE, Vol. 48, No. 4, pp.351-357, 1999.   과학기술학회마을
10 D. E. Goldberg, “Genetic Algorithms in Search Optimization & Machine Learning”, Addison-Wesley Publishing Co. Inc., 1989.
11 C. S. Chen and C. T. Hsu, “The Simplified Linear Model Derivation of Power Systems with Static VAR Compensators to Improve System Damping”, IEEE/KTH Stockholm Power Tech Conference, pp. 370-375, 1995.
12 IEEE Special Stability Controls Working Group, “Static Var Compensator Models for Power Flow and Dynamic Performance Simulation”, IEEE Trans. on Power Systems, Vol. 9, pp. 229-240, 1994.   DOI   ScienceOn
13 H. H. Chung, D. R. Hur and S. H. Kim, “A Study on the SVC System Stabilization Using a Neural Network”, Journal of the KIIEIE, Vol. 14, No. 3, pp. 49-58, 2000.   과학기술학회마을
14 A. A. El-Emary, “Effect of Static VAR Compensator upon Synchronizing Torque Coefficient”, Electric Machine and Power System, Vol. 25. pp. 371-386, 1997.   DOI
15 Y. Wang, Y. L. Tan and G. Guo, “Robust Nonlinear Coordinated Generator Excitation and SVC Control for Power Systems”, Electrical Power and Energy System, Vol. 22, pp. 187-195, 2000.   DOI   ScienceOn
16 K. E. Kinnear, “Advances in Genetic Programming”, The MIT Pres, 1994.
17 A. R. Mahran, B. W. Hogg and M. L. El-Sayed, “Co-ordinated Control of Synchronous Generator Excitation and Static Var Compensator”, IEEE Trans. on Energy Conversion, Vol. 7, No. 4, pp. 615-622, 1992.   DOI   ScienceOn