Design a Unified Power Flow Controller (UPFC) Using Bilinear Sliding Mode Control Method
Subject Areas : electrical and computer engineeringT. Niknam 1 * , M. Nayeripour 2 , A. Yazdian Varjani 3 , M. Mohamadian 4
1 -
2 -
3 - Tarbiat Modares University
4 - Tarbiat Modares University
Keywords: Unified power flow controller (UPFC) sliding mode control stability,
Abstract :
In this paper, at first, a new model will be attained for unified power flow controller (UPFC) using state space equation of bilinear systems. Then, a complete novel method of designing UPFC controllers will be represented by the use of variant structure systems. In this method, input signals of UPFC are designed through sliding mode controller. In order to design these kinds of controllers, at first, control rules are obtained by the use of designing four different slide levels and then setting their derivatives (which express dynamics of the flows of axes d and q, in serial and parallel transformers) to zero. In fact, applying the outputs of this controller to UPFC is equal to bring the flows of axes d and q to the reference value in both UPFC. In the other hand, internal dynamics (DC capacitor voltage) will be stabilized in UPFC by means of PI controller. The stability of the system is obtained through Lyapunov function.
[1] L. Gyugyi, C. D. Schauder, S. L. Williams, T. R. Rietman, D. R. Torgerson, and A. Edris, "The unified power flow controller: a new approach to power transmission control," IEEE Trans. on Power Delivery, vol. 10, no. 2, pp. 1085-1097, Apr. 1995.
[2] I. Papic and P. Zunko, "UPFC converter-level control system using internally calculated system quantities for decoupling," Electrical Power and Energy Systems, vol. 25, no. 8, pp. 667-675, Oct. 2003.
[3] H. F. Wang, M. Jazaeri, and Y. J. Cao, "Analysis of control conflict between UPFC multiple control functions and their interaction indicator," International J. of Control, Automation, and System, vol. 3, no. 2, pp. 315-321, Jun. 2005.
[4] Z. Y. Zou, Q. Y. Jiang, and H. F. Wang, "Application of the normal forms to analyze the interactions among the multi-control channels of UPFC," Electrical Power and Energy Systems, vol. 27, no. 8, pp. 584-593, Oct. 2005.
[5] T. T. Ma and K. L. Lo, "Nonlinear power system damping control strategies for the unified power flow controller (UPFC)," in Proc. of IEEE Int. Conf. on Power System Technology, vol. 2, pp. 673-678, 4–7 Dec. 2000.
[6] H. F. Wang, "Interaction and multivariable design of multiple control function of a unified power flow controller," Electrical Power and Energy Systems, vol. 24, no. 7, pp. 591-600, Oct. 2002.
[7] V. I. Utkin, "Variable structure system with sliding mode: a survey," IEEE Trans. on Automatic Control, vol. 22, no. 2, pp. 212–222, 1977.
[8] R. Longchamp, "Stable feedback control of bilinear systems," IEEE Trans. on Autom. Control, vol. 25, no. 2, pp. 302-306, Apr. 1980.
[9] R. R. Mohler, Nonlinear Systems Volume II: Applications to Bilinear Control, Prentice Hall, Englewood Cliffs, 1991.
[10] مجید نیریپور، علي يزديان و مصطفي محمديان، "طراحي كنترلكننده يكپارچه توان بهصورت دوخطي جهت بهبود پايداري شبكه،" نشريه مهندسي برق و مهندسي كامپيوتر ايران، جلد 6، شماره 3، صص. 207-199، پاييز 1387.