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                                                            Power electronic control in electrical systems 225

                      only difference is that the output voltage v o is taken across points A and B in this
                      case. Therefore, the two-levels of the output waveform take V dc and  V dc values.
                      The control method for the single-phase full-bridge VSC assumes that the switches
                      (S 1 , S 4 ) and (S 2 , S 3 ) are treated as pairs and obviously in a complementary manner
                      (Figure 6.26). The normalized amplitude values of the fundamental and the various
                      harmonics are identical as confirmed with the Figure 6.48(c).
                        In a previous section, two control methods were presented for a single-phase full-
                      bridge VSC, namely the square-wave method and the phase-shifted square-wave
                      method. The second control method can be extended to include PWM methods.
                        The phase-shifted PWM method is also known as a three-level PWM method since
                      is it capable of generating a three-level line-to-line voltage waveform. It is also known
                      as unipolar PWM since the line-to-line voltage waveform is either positive and zero
                      or negative and zero for each half of the period.















































                      Fig. 6.49 Three-level sinusoidal PWM method for single-phase full-bridge VSC. (a) two reference signals
                      (sinusoidal) and carrier (triangular) signal (f c ˆ 15   f 1 and M a ˆ 0:8); (b) voltage waveform v AN ; (c) line-to-
                      line voltage waveform v AB ; and (d) normalized harmonic amplitude of the voltage waveform v AB .
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