A Multiobjective Damping Function for Coordinated Control of Power System Stabilizer and Power Oscillation Damping
This paper deals with the coordinated tuning of the Power System Stabilizer (PSS) controller and Power Oscillation Damping (POD) Controller of Flexible AC Transmission System (FACTS) in a multi-machine power systems. The coordinated tuning is based on the critical eigenvalues of the power system and a model reduction technique where the Hankel Singular Value method is applied. Through the linearized system model and the parameter-constrained nonlinear optimization algorithm, it can compute the parameters of both controllers. Moreover, the parameters are optimized simultaneously obtaining the gains of both controllers. Then, the nonlinear simulation to observe the time response of the controller is performed.
[1] P. Kundur, Power System Stability and Control, McGraw-Hill, 1994, ch. 2 and 12.
[2] G. Rogers, Power system Oscillations, The Kluwer International Series in Engineering and Computer Science. Kluwer Academic Pub, 1999, ch. 1, 2 , and 7.
[3] L.J Cai and I. Erlich, “Fuzzy coordination of FACTS controllers for damping power system oscillations,” In Modern Electric Power Systems Proc of the International Symposium Wroclaw, September 11-13, 2002, pp 251–256.
[4] K. C. Rout and P. C. Panda, “Performance analysis of power system dynamic stability using Fuzzy logic based PSS for positive and negative value of K5 constant,” Computer, Communication and Electrical Technology (ICCCET), 2011 International Conference on, Tamilnadu, 2011, pp. 430-435.
[5] X. Lei, E. N. Lerch and D povh, “Optimization and coordination of damping controls for improving systems dynamic performance,” IEEE Trans. Power Systems, Vol. 16, August 2001, pp 473-480.
[6] J. J. Sanchez Gasca and J. H. Chow, “Power system reduction to simplify the design of damping controllers for inter-area oscillations,” IEEE Trans. Power Systems, Vol. 11, No 3, August 1996, pp 1342-1349.
[7] P. Pourbeik and M. J. Gibbard, “Simultaneous coordination of power system stabilizers and FACTS device stabilizers in a multimachine power system for enhancing dynamic performance,” IEEE Trans Power Systems, Vol 13, No 2, 1998, pp 476-479.
[8] D. Arnautovic and J. Medanic, “Design of decentralized multi-variable excitation controller in multi-machine power systems by projective controls,” IEEE Trans Energy Conversion, Vol EC-2, no 4, December 1987, pp 598-604.
[9] M. G. Safonov, R. Y. Chiang, “A Schur Method for Balanced-Truncation Model reduction,” IEEE Transactions on Automatic Control, Vol. 34, No 7, July 1989, pp 729-733.
[10] B. Moore, “Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction,” IEEE Transactions on Automatic Control, Vol. AC-26, No 1, February 1981, pp 17-31.
[11] Alan J. Laub, Michael T.Heath,Crhis C. Paige, Robert C. Ward, “Computation of System Balancing Transformations and their Applications of Simultaneous Diagonalization Algorithms,” IEEE Transactions on Automatic control, Vol AC-32, No 2, February 1987, pp 115-122.
[12] B. Pal, B. Chaudhuri, Robust Control in Power Systems, Springer, 2005, ch. 3 and ch. 5.
[13] E. V. Larsen and D. A. Swann, “Applying Power System Stabilizers Part II: Performance Objectives and Tuning Concepts,” in IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, no. 6, June 1981, pp. 3025-3033.
[14] K. R. Padiyar, Power System Dynamics Stability and Control. Jhon Wiley, Singapore, 1996, pp. 257-291.
[15] R. Narne, P. C. Panda, J. P. Therattil, “Genetic algorithm based simultaneous coordination of PSS and FACTS controllers for power oscillations damping,” Sustainable Energy Technologies (ICSET), 2012 IEEE Third International Conference on, Kathmandu, 2012, pp. 85-90.
[16] M. A. Abido, "Design of PSS and STATCOM-based damping stabilizers using genetic algorithms," 2006 IEEE Power Engineering Society General Meeting, Montreal, Que., 2006, pp. 1-8.
[17] M. Hajizadeh and J. Sadeh, “Simultaneous coordination and tuning of PSS and FACTS for improving damping by genetic algorithm,” Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), 2011 4th International Conference on, Weihai, Shandong, 2011, pp. 1311-1315.
[18] Klein, Rogers, Moorty and Kundur: “Analytical investigation of factors influencing PSS performance,” IEEE Trans. on EC, Vol. 7, No 3, September 1992, pp 382-390.
[19] M. Eslami, H. Shareef, A. Mohamed, “Coordinated design of PSS and TCSC controller for power system stability improvement,” IPEC 2010 Conference Proceeding, October 2010, pp 433-438.
[20] N Islam, H. Shareef, A. Mohamed “Power system stabilizer design using BAT optimization algorithm in multimachine power system,” 2013 IEEE Student Conference on Research and Development, pp 540-544, December 2013.
[21] Cai L.J, I. Erlich, “Simultaneous coordinated tuning of PSS and FACTS damping controllers in large power systems,” IEEE Transactions on Power Systems, Vol 20, pp 294 – 300, February 2005.
[1] P. Kundur, Power System Stability and Control, McGraw-Hill, 1994, ch. 2 and 12.
[2] G. Rogers, Power system Oscillations, The Kluwer International Series in Engineering and Computer Science. Kluwer Academic Pub, 1999, ch. 1, 2 , and 7.
[3] L.J Cai and I. Erlich, “Fuzzy coordination of FACTS controllers for damping power system oscillations,” In Modern Electric Power Systems Proc of the International Symposium Wroclaw, September 11-13, 2002, pp 251–256.
[4] K. C. Rout and P. C. Panda, “Performance analysis of power system dynamic stability using Fuzzy logic based PSS for positive and negative value of K5 constant,” Computer, Communication and Electrical Technology (ICCCET), 2011 International Conference on, Tamilnadu, 2011, pp. 430-435.
[5] X. Lei, E. N. Lerch and D povh, “Optimization and coordination of damping controls for improving systems dynamic performance,” IEEE Trans. Power Systems, Vol. 16, August 2001, pp 473-480.
[6] J. J. Sanchez Gasca and J. H. Chow, “Power system reduction to simplify the design of damping controllers for inter-area oscillations,” IEEE Trans. Power Systems, Vol. 11, No 3, August 1996, pp 1342-1349.
[7] P. Pourbeik and M. J. Gibbard, “Simultaneous coordination of power system stabilizers and FACTS device stabilizers in a multimachine power system for enhancing dynamic performance,” IEEE Trans Power Systems, Vol 13, No 2, 1998, pp 476-479.
[8] D. Arnautovic and J. Medanic, “Design of decentralized multi-variable excitation controller in multi-machine power systems by projective controls,” IEEE Trans Energy Conversion, Vol EC-2, no 4, December 1987, pp 598-604.
[9] M. G. Safonov, R. Y. Chiang, “A Schur Method for Balanced-Truncation Model reduction,” IEEE Transactions on Automatic Control, Vol. 34, No 7, July 1989, pp 729-733.
[10] B. Moore, “Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction,” IEEE Transactions on Automatic Control, Vol. AC-26, No 1, February 1981, pp 17-31.
[11] Alan J. Laub, Michael T.Heath,Crhis C. Paige, Robert C. Ward, “Computation of System Balancing Transformations and their Applications of Simultaneous Diagonalization Algorithms,” IEEE Transactions on Automatic control, Vol AC-32, No 2, February 1987, pp 115-122.
[12] B. Pal, B. Chaudhuri, Robust Control in Power Systems, Springer, 2005, ch. 3 and ch. 5.
[13] E. V. Larsen and D. A. Swann, “Applying Power System Stabilizers Part II: Performance Objectives and Tuning Concepts,” in IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, no. 6, June 1981, pp. 3025-3033.
[14] K. R. Padiyar, Power System Dynamics Stability and Control. Jhon Wiley, Singapore, 1996, pp. 257-291.
[15] R. Narne, P. C. Panda, J. P. Therattil, “Genetic algorithm based simultaneous coordination of PSS and FACTS controllers for power oscillations damping,” Sustainable Energy Technologies (ICSET), 2012 IEEE Third International Conference on, Kathmandu, 2012, pp. 85-90.
[16] M. A. Abido, "Design of PSS and STATCOM-based damping stabilizers using genetic algorithms," 2006 IEEE Power Engineering Society General Meeting, Montreal, Que., 2006, pp. 1-8.
[17] M. Hajizadeh and J. Sadeh, “Simultaneous coordination and tuning of PSS and FACTS for improving damping by genetic algorithm,” Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), 2011 4th International Conference on, Weihai, Shandong, 2011, pp. 1311-1315.
[18] Klein, Rogers, Moorty and Kundur: “Analytical investigation of factors influencing PSS performance,” IEEE Trans. on EC, Vol. 7, No 3, September 1992, pp 382-390.
[19] M. Eslami, H. Shareef, A. Mohamed, “Coordinated design of PSS and TCSC controller for power system stability improvement,” IPEC 2010 Conference Proceeding, October 2010, pp 433-438.
[20] N Islam, H. Shareef, A. Mohamed “Power system stabilizer design using BAT optimization algorithm in multimachine power system,” 2013 IEEE Student Conference on Research and Development, pp 540-544, December 2013.
[21] Cai L.J, I. Erlich, “Simultaneous coordinated tuning of PSS and FACTS damping controllers in large power systems,” IEEE Transactions on Power Systems, Vol 20, pp 294 – 300, February 2005.
@article{"International Journal of Electrical, Electronic and Communication Sciences:76671", author = "Jose D. Herrera and Mario A. Rios", title = "A Multiobjective Damping Function for Coordinated Control of Power System Stabilizer and Power Oscillation Damping", abstract = "This paper deals with the coordinated tuning of the Power System Stabilizer (PSS) controller and Power Oscillation Damping (POD) Controller of Flexible AC Transmission System (FACTS) in a multi-machine power systems. The coordinated tuning is based on the critical eigenvalues of the power system and a model reduction technique where the Hankel Singular Value method is applied. Through the linearized system model and the parameter-constrained nonlinear optimization algorithm, it can compute the parameters of both controllers. Moreover, the parameters are optimized simultaneously obtaining the gains of both controllers. Then, the nonlinear simulation to observe the time response of the controller is performed.
", keywords = "Balanced realization, controllability Grammian, electromechanical oscillations, FACTS, Hankel singular values, observability Grammian, POD, PSS. ", volume = "11", number = "12", pages = "1183-7", }
