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                                                            Power electronic control in electrical systems 285

                      addition to the fundamental frequency component. Figure 7.15(a) corresponds to
                      the accurate solution whereas the result in Figure 7.15(b) was obtained by using
                      only the fundamental frequency component, i.e. the harmonic terms were neglected.
                        Figure 7.16 shows the voltage across the TCSC capacitor for different values of
                      firing angles. From Figure 7.16(a) and (b), it is observed that the distortion in the
                      capacitor voltage waveform is larger when the TCSC operates in the inductive region
                      of vernier operation. As expected the voltage magnitude increases as the resonant
                      point is approached. The voltage across the capacitor is sinusoidal when the TCSC is
                      operating in both thyristor bypassed mode, i.e. a ˆ 90 , and thyristor blocked mode,


                      i.e. a ˆ 180 . Figures 7.17 and 7.18 show the current through the TCR and capacitor
                      for different values of firing angles, respectively. The value of firing angle determines
                      the direction of the current through the TCR and capacitor. Both plots show that the
                      current magnitude increases as the resonant point is approached. As shown in

























                      Fig. 7.16 Voltage across the TCSC capacitor for different values of firing angle.






















                      Fig. 7.17 Current waveform through the TCR for different values of firing angle.
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