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Identification of Coherent Generators Using Fuzzy C-Means ...

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coherency measures and the clustering <strong>of</strong> generator groups at different prescribed number<strong>of</strong> coherent groups can be obtained. Also a new proposed algorithm <strong>of</strong> constructing thedynamic equivalent <strong>of</strong> power system is presented in this work. The calculations <strong>of</strong> theparameters <strong>of</strong> the new transmission lines are also presented. The effect <strong>of</strong> systemparameters, modeling and loading conditions are also studied. It is found that the changing<strong>of</strong> machines inertia constants and machines modeling have a small effect on the coherentgenerators, while The machines damping coefficients, transient reactance’s and loadingconditions have a large effect on the coherent generators.The obtained results show that the coherent groups <strong>of</strong> generators are dependent on the typeand the location <strong>of</strong> disturbance. The proposed method is highly effective in determining thecoherent groups <strong>of</strong> generators and in constructing the dynamic equivalent <strong>of</strong> power system.7. References[1] R. JAMES, W. JANUSZ and JARR MACH.: “Power System Dynamics and Stability”, JOHNWILEY and SONS LTD., 1997.[2] PODMORE, R.: '<strong>Identification</strong> <strong>of</strong> <strong>Coherent</strong> <strong>Generators</strong> for Dynamic Equivalents', IEEE Trans.,1978, PAS-97, (4), PP. 1344-1354.[3] LEE, S.T.Y., and SCHWEPPE, F.C.: 'Distance Measure and Coherency Recognition for TransientStability equivalents', IEEE Trans., 1973, PAS-92, PP. 1550-1557.[4] KRISHAPARANDHAMA, S. ELANGORAN and K. Kuppurajulu, 'Method for Identifying<strong>Coherent</strong> <strong>Generators</strong>', Vol. 3, No. 2, PP. 85-90, April 1981.[5] M. Y. HUSSAIN, V.G. RAU. :'Coherency <strong>Identification</strong> and Construction <strong>of</strong> Dynamic Equivalentfor Large Power System', IEE 2nd International Conference on Advances in Power System Control.Operation and Management. December 1993. Hong Kong.[6] SPALDING, B.D., YEE, H., and GOUDIE, B.D.: ‘Coherency Recognition for Transient StabilityStudies <strong>Using</strong> Singular Points’, IEEE Trans., 1977, PAS-96, (4), pp. 1368-1375.[7] MIR MUJAHID ALI, '<strong>Identification</strong> <strong>of</strong> <strong>Coherent</strong> <strong>Generators</strong> <strong>Using</strong> Linear Trajectory', Msc. D.Thesis, University <strong>of</strong> Ng Fahd <strong>of</strong> Petroleum and Minerals, Dhahrann, Saudi Arabia, 1993.[8] J. P. YANG, G. H. CHENG, Z. XU. :'Dynamic Reduction <strong>of</strong> Large Power System in PSS/E',IEEE/PES Transmission and Distribution Conference & Exhibition, 2005: Asia and Pacific Dalian,China.[9] GHAFURIAN. A. and BERG. G. J. Coherency Based Multimachine Study', IEE PROC., Vol.129, Pt. C, (4), July 1982, PP. 153-160.[10] MOHAMED EL-SHIMY, 'Electromechanical System Equivalent and Dynamic LoadAggregation for Transient Stability <strong>of</strong> Electric Power System', Ph. D. Thesis, University <strong>of</strong> AinShams, Cairo, 2004.[11] Mahdi M. M. El-Arini, M. M. El Metwally,’Order Reduction in Dynamic Modeling <strong>of</strong> PowerSystem Control’, Engineering First Intern. Conference, Cairo, Egypt, December 9-12, 1989, Vol. 8,PP. 207-218.[12] ZHAO SHUQIANG, XIANRONG, YANJIANG and RENMU, ‘A Reduced Order Method forSwing Mode Eignvalue Calculating Based on <strong>Fuzzy</strong> Coherency Recognition’, Power systemTechnology Proceedings 1998. Vol. 2, pp 1402-1405.[13] SHU-CHEN WANG and PEI-HWA HUANG, ’<strong>Fuzzy</strong> C-<strong>Means</strong> Clustering for Power SystemCoherency’, IEEE international conference 2005, Vol. 3, pp. 2850-2855.[14] N. Pal, K. Pal, J. Keller, and J. Bezdek, ‘A possibilistic fuzzy c-means clustering algorithm’,IEEE Trans <strong>Fuzzy</strong> Systems, Vol. 13, No. 4, 2005, pp. 517–530.[15] A. K. BEHERA, 'Transient Stability Analysis <strong>of</strong> Multimachine Power System <strong>Using</strong> DetailedMachine Models', Ph. D. Thesis, University <strong>of</strong> Illinois at Urbana-Champaign, 1988.18

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