Design of Static Var Compensator for Power Systems Subject to Voltage Fluctuation Satisfying Bounding Conditions
Main Article Content
Abstract
This paper presents the design of a static var compensator for power systems subject to voltage fluctuation by using a known framework comprising the principle of matching and the method of inequalities. In the design formulation, all possible voltage fluctuations are treated as persistent signals having uniform bounds on magnitude and slope. The principal design objective is to ensure that the rotor angle, the generator terminal voltage and the voltage of the nearby bus always deviate from their nominal values within the allowable ranges for all time in the presence of any possible voltage fluctuation. By virtue of the framework, it is clear that once a solution is found, the system is guaranteed to operate satisfactorily in regard to the design objective. The numerical results demonstrate that the framework adopted here is suitable and effective, thereby giving a realistic formulation of the design problem.
Article Details
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
- Creative Commons Copyright License
The journal allows readers to download and share all published articles as long as they properly cite such articles; however, they cannot change them or use them commercially. This is classified as CC BY-NC-ND for the creative commons license.
- Retention of Copyright and Publishing Rights
The journal allows the authors of the published articles to hold copyrights and publishing rights without restrictions.
References
[2] C. S. Chen, H. J. Chuang, C. T. Hsu, S. M. Tseng (2001). Mitigation of voltage fluctuation for an industrial customer with arc furnace, in proceedings of IEEE Power Engineering Society Summer Meeting, vol. 3, pp. 1610-1615.
[3] L. Zhang, Y. Liu, C. Han, Z. Du, A. Q. Huang and M. R. Ingram (2006). Mitigation of EAF induced problems, in proceedings of IEEE PES Power Systems Conference and Exposition, pp. 1448-1453.
[4] A. R. Mahran, B. W. Hogg and M. L. El-Sayed (1992). Co-ordinated control of synchronous generator excitation and static var compensator, IEEE Transactions on Energy Conversion, vol. 7, pp. 615-622.
[5] P. Rao, M. L. Crow and Z. Yang (2000). STATCOM control for power system voltage control applications, IEEE Transactions on Power Delivery, vol. 15 , pp. 1311-1317.
[6] P. S. Sensarma, K. R. Padiyar and V. Ramanarayanan (2001). Analysis and performance evaluation of a distribution STATCOM for compensating voltage °uctuations, IEEE Transactions on Power Delivery, vol. 16, pp. 259-264.
[7] Q. Zhao and J. Jiang (1995). Robust SVC controller design for improving power system damping, IEEE Transactions on Power Systems, vol. 10, pp. 1927-1932.
[8] R. You and M. H. Nehrir (2004). A systematic approach to controller design for SVC to enhance damping of power system oscillations, in proceedings of IEEE PES Power System Conference and Exposition, vol. 2, pp. 1134-1139.
[9] V. Zakian (1996). Perspectives of the principle of matching and the method of inequalities, International Journal of Control, vol. 65, pp. 147-175.
[10] V. Zakian, editor (2005). Control Systems Design: A New Framework, Springer-Verlag, London.
[11] K. Tia, S. Arunsawatwong and B. Eua-arporn (2009). Design of compensators for power systems operating under load voltage fluctuation satisfying bounding conditions, in proceedings of ECTICON 2009, pp. 252-255.
[12] J. F. Whidborne (1993). EMS control system design for a maglev vehicle - A critical system, Automatica, vol. 29, pp. 1345-1349.
[13] S. Arunsawatwong (2005). Critical control of building under seismic disturbance, Chapter 13 in V. Zakian (editor), Control Systems Design: A New Framework, Springer-Verlag, London.
[14] V. Zakian and U. Al-Naib (1973). Design of dynamical and control systems by the method of inequalities, Proceedings of the IEE, vol. 120, pp. 1421-1427.
[15] V. Zakian (1979). New formulation for the method of inequalities, Proceedings of the IEE, vol. 126, pp. 579-584.
[16] V. Zakian (1991). Well matched systems, IMA Journal of Mathematical Control and Information, vol. 8, pp. 29-38 (see also Corrigendum, 1992, vol. 9, p. 101).
[17] B. J. Birch and R. Jackson (1959). The behaviour of linear systems with inputs satisfying certain bounding conditions, Journal of Electronics and Control, vol. 6, pp. 366-375.
[18] I. Horowitz (1962). Analysis and synthesis of linear systems with inputs satisfying certain bounding conditions, Journal of Electronics and Control, vol. 12, pp. 195-208.
[19] P. G. Lane (1992). Design of Control Systems with Inputs and Outputs Satisfying Certain Bounding Conditions, PhD thesis, UMIST, Manchester, UK.
[20] W. Silpsrikul and S. Arunsawatwong (2010). Computation of peak output for inputs satisfying many bounding conditions on magnitude and slope, International Journal of Control, vol. 83, pp. 49-65.
[21] V. Zakian (1987). Design formulations, International Journal of Control, vol. 46, pp. 403-408.
[22] P. Kunder (1994). Power System Stability and Control, McGraw-Hill, New York.
[23] IEEE Special Stability ControlsWorking Groups (1994). Static var compensator models for power flow and dynamic performance simulation, IEEE Transactions on Power Systems, vol. 9, pp. 229-240.
[24] J. F. Whidborne (2005). A simulated annealing inequalities solver, Chapter 7 in V. Zakian (editor), Control Systems Design: A New Framework, Springer-Verlag, London.
[25] T.-K. Liu and T. Ishihara (2005). Multi-objective genetic algorithms for the method of inequalities, Chapter 8 in V. Zakian (editor), Control Systems Design: A New Framework, Springer-Verlag, London.