Fuzzy C-Means Clustering Algorithm for Voltage Stability in Large Power Systems

Authors: Mohamad R. Khaldi, Christine S. Khoury, Guy M. Naim

Abstract:

The steady-state operation of maintaining voltage stability is done by switching various controllers scattered all over the power network. When a contingency occurs, whether forced or unforced, the dispatcher is to alleviate the problem in a minimum time, cost, and effort. Persistent problem may lead to blackout. The dispatcher is to have the appropriate switching of controllers in terms of type, location, and size to remove the contingency and maintain voltage stability. Wrong switching may worsen the problem and that may lead to blackout. This work proposed and used a Fuzzy CMeans Clustering (FCMC) to assist the dispatcher in the decision making. The FCMC is used in the static voltage stability to map instantaneously a contingency to a set of controllers where the types, locations, and amount of switching are induced.

Keywords: Fuzzy logic, Power system control, Reactive power control, Voltage control

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334275

References:

[1] M. R. Khaldi, A. K. Sarkar, K. Y. Lee, and Y. M. Park, "The Modal Performance Measure for Parameter optimization of Power System Stabilizer." IEEE Transactions on Energy Conversion, vol. 8, no. 4, pp. 660-666, December 1993.
[2] K. R. C. Mamandur, "Emergency Adjustments to VAR Control Variables to Alleviate Over-Voltages, Under-Voltages and Generated VAR limit violations," IEEE Transactions on Power Apparatus and Systems, vol. PAS-101, no. 5, May 1982, pp 1040-1047.
[3] J. Zaborszky, G. Huang, and K. W. Lu, "A Textured Model for Computationally Efficient Reactive Power Control and Management," IEEE Transactions on Power Apparatus and Systems, vol. PAS-104, July 1985, pp. 1718-1727.
[4] K. Iba, H. Suzuki, K. I. Suzuki, and K. Suzuki, "Practical Reactive Power Allocation/Operational Planning Using Successive Linear Programming," IEEE/PES Winter Meeting 1987, paper no. 055-7.
[5] K. Tomsovic, and D. M. Faleo, "Advanced power system controls using intelligent systems," IEEE Power Engineering Society Summer Meeting 2000, vol. 1, pp. 336 - 33.
[6] M. R. Khaldi, "An Intelligent Cognitive Expert System for Voltage Control in Power Systems," Proceedings of 2003 IEEE Conference on Control Applications (CCA 2003), vol. 1, pp. 319-24, June 2003.
[7] C. C. Liu and K. Tomsovic, "An Expert System Assisting Decision- Making of Reactive Power/Voltage Control," IEEE Transactions on Power Systems, vol. 1, no. 3, August 1986, pp. 195-201.
[8] M. Aggoune, M. A. El-Sharkawi, D. C. Park, M. J. Damborg, and R. J. Marks II, "Preliminary Results on Using Artificial Neural Networks for Security Assessment," Proceedings of the IEEE Conference on Decision and Control, 1989, pp. 252-258.
[9] K. C. Hui, and M. J. Short, "Voltage Security Monitoring, Prediction and Control by Neural Networks," IEE International Conference on Advances in Power System Control, Operation and Management, November 1991, pp. 889-894.
[10] K. Y. Lee, Y. T. Cha, and J. H. Park, "Short-Term Load Forecasting Using Artificial Neural Network," IEEE Transactions on Power Systems, vol. 7, pp. 1-8, February 1992.
[11] M. R. Khaldi, "Neural Networks and Static Voltage Stability in Power Systems," IEEE International Conference on Industrial Technology (IEEE ICIT2008), April 21-24, 2008, Sichuan University, Chengdu, China, Paper ID: ZD-007498.
[12] S. Senthil Kumar and P. Ajay-D-Vimal Raj, "Fuzzy Logic Based Stability Index Power System Voltage Stability Enhancement," International Journal of Computer and Electrical Engineering, Vol. 2, No. 1, February, 2010 1793-8163.
[13] A. Narendranath Udupa, D. Thukaram and K. Parthasarathy, "An Expert Fuzzy Control Approach To Voltage Stability Enhancement," International Journal Of Electrical Power And Energy Systems, vol.21, 1999, pp 279-287.
[14] Su C-T, Lin C-T, "Fuzzy Based Voltage/Reactive Power Scheduling For Voltage Security Improvement And Loss Reduction," IEEE Transaction on Power Delivery, vol. 16, no. 2, April. 2001, pp 319-323.
[15] B. Marques and N. Toranto, "A Knowledge- Based System for Supervision and Control of Regional Voltage Profile and Security," IEEE Transaction on Power Systems, vol. 20, no. 4, February 2005, pp. 400-407.
[16] J. C. Bezdek, R. Ehrlich, and W. Full, "FCM: The Fuzzy c-Means Clustering Algorithm," Computers and Geosciences, vol. 10, no. 2-3, 1984, pp. 191-203.
[17] S. N. Sivanandam, S. Sumathi, and S. N. Deepa, "Introduction to Fuzzy Logic using MATLAB," Springer-Verlag Berlin Heidelberg, New York, 2007.