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

* T* T⎡ a Ymma a Y⎢⎢ ⎢* T T⎣( a Ymmt) YWhere subscript m denotes the coherent generators and subscript m t denotes the totalgenerators.5. Numerical AnalysisIn this section, the proposed method is applied on 14-Bus, 5 Machine IEEE System powersystem. The single line diagram of the IEEE 14-bus standard system is shown in Fig. (4). Itconsists of five synchronous machinesmtmtmmt⎤⎥⎥⎥⎦(27)Fig. (4) The single line diagram of 14-Bus IEEE systemAssume that an open circuit occurs at bus 4. Table (1) shows the calculated s i , i=1,…,6. Fig.(5) and Fig. (6) show the time responses of all generators during the fault. Assuming thevalues of error levels as a percentage of the maximum values of the proposed coherencycriterions as ε 1 =0.3 rad, ε 2 = 0.04 rad/sec, ε 3 =0.3 rad, ε 4 =0.02 rad/sec, ε 5 =0.4 rad and ε 6 =0.2rad/sec.; one can get that the coherent generators are G 1 , G 2 and G 3 .Fig. (5) The response of 14-Bus IEEE system after removing the bus no. 4 from the originalsystem10