Page 86 - Power Quality in Electrical Systems
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Harmonic Current Sources  69

        TABLE 5.1 Results of the PSPICE Simulation Showing the Fourier Spectrum of Line
        Current for Example 5.1
                              Harmonic current with    Harmonic current with
        Harmonic number       1000 µF filter capacitor  10,000 µF filter capacitor
               1                    10.0                     10.0
               3                     9.4                     10.0
               5                     6.9                      9.8
               7                     4.8                      9.5
               9                     3.0                      9.0
              11                     2.2                      8.25
              13                     2.1                      7.75
              15                     2.0                      7.0
              17                     1.65                     6.5
              19                     1.35                     6.3
              21                     1.25                     5.0
              23                     1.2                      4.5
              25                     1.1                      3.8
              27                     1.0                      3.3

        Three-Phase Rectifiers
        The six-pulse rectifier
        A typical application using a three-phase, six-pulse rectifier is an
        adjustable speed drive (Figure 5.7). Three-phase power (labeled phases
        a, b, and c) is full-wave rectified by the six-pulse rectifier. The rectified
        voltage is filtered by the high-voltage bus capacitor, C bus , generating a
        DC voltage, which is used by the subsequent inverter. The three-phase
        inverter generates the three-phase currents necessary to drive the motor.
          A six-pulse rectifier is shown in Figure 5.8a. Assuming that the load
        approximates a current source (with very large load inductance), the line
        current drawn from the rectifier shows a THD of 31 percent, and an
        absence of a third-harmonic and all triplen harmonics (Figure 5.8b). We
        can show that the harmonic amplitudes of the phase currents of the ideal
        six-pulse rectifier with current source load, I , are [5.1]:
                                                  L
                              4        Np       Np
                                 I sina   b sina   b
                                  L
                             Np         2        3
          The spectrum of the AC line currents is shown in Figure 5.8c.
              Diode   DC link bus
             rectifier  capacitor    PWM inverter



        a                                                  Motor
        b
         c                                                  M



        Figure 5.7 Adjustable speed drive for a three-phase induction motor.
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