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                                                            Power electronic control in electrical systems 283

                           80000                                                     6000
                           60000
                                                                                     4000
                                                                        Voltage
                           40000
                                                                                     2000
                           20000                                                           V
                         A                                                                O
                        M                                                                  L
                         P     0                                                     0     T
                         S      0.0   2.0   4.0   6.0   8.0   10.0  12.0  14.0  16.0       S
                          –20000
                                                                                     –2000
                          –40000
                                                        Current                      –4000
                          –60000
                          –80000                                                     –6000
                                                       TIME (mS)

                      Fig. 7.13 Voltage and current waveforms in the bidirectional thyristors.
                        The TCSC has three basic operating modes: (i) the thyristor blocked mode; (ii) the
                      thyristor bypassed mode; and (iii) the thyristor vernier mode. In (i), the thyristors do
                      not conduct at all, and the transmission line current follows exclusively the TCSC
                      capacitive path. The condition in (ii) corresponds to the case when the thyristors are
                      conducting current continuously, with most of the transmission line current flowing
                      through the thyristors. The TCSCs with realistic inductive and capacitive parameters
                      have a small, net inductive reactance when operated in bypassed mode. In (iii), the
                      thyristors are operated with phase control delay, leading to partial thyristor conduc-
                      tion. Two distinct operating characteristics will result from operating the TCSC in
                      vernier mode, one inductive and one capacitive. In TCSCs with realistic LC para-
                      meters, low levels of thyristor conduction, i.e. large firing angle delays, will establish
                      a net capacitive reactance making the TCSC to operate in the capacitive operating
                      region. Conversely, high levels of thyristor conduction, i.e. low firing angle delays,
                      will result in a net inductive reactance leading to TCSC operation in the inductive
                                 0.12

                                   0.1
                                 0.08
                                                    3rd
                                V3/V1  0.06

                                 0.04
                                 0.02

                                    0
                                    125 130 135 140 145 150 155 160 165 170 175 180
                                                      Alpha in Degrees
                                                            (a)
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