Fuzzy C-Means Clustering Algorithm for Voltage Stability in Large Power Systems
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:56779", author = "Mohamad R. Khaldi and Christine S. Khoury and Guy M. Naim", title = "Fuzzy C-Means Clustering Algorithm for Voltage Stability in Large Power Systems", 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", volume = "6", number = "9", pages = "982-6", }