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               284 Harmonic studies of power compensating plant

                                 0.005
                                           9th                        7th
                                    0
                                    125  130  135  140  145  150  155  160  165  170  175  180
                                –0.005
                              Vn/V1

                                 –0.01                            5th


                                –0.015


                                 –0.02
                                                       Alpha in Degrees
                                                            (b)
                      Fig. 7.14 Harmonic generation in per unit of fundamental frequency voltage as a function of firing angle.

                      region. For the case of the TCSC Kayenta scheme, with X C ˆ 15 
 and X L ˆ 2:6 
,
                      firing angles of 90 to approximately 139 will lead to operation in the inductive


                      region. On the other hand, firing angles of approximately 147 to 180 will lead to


                      operation in the capacitive region. As shown in Figure 7.15, the fundamental fre-
                      quency resonant point is centred at around 143 .

                        The TCSC impedance of the Kayenta scheme is also used to emphasize the
                      importance of including all the relevant harmonic terms in the calculations, in


























                      Fig. 7.15 TCSC impedance characteristic as a function of firing angle: (a) correct steady-state impedance;
                      and (b) understated steady-state impedance.
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