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                                                            Power electronic control in electrical systems 357


























                      Fig. 8.77 Block diagram ofthe control scheme designed for the shunt AF.


                      Equation 8.21 implies first the determination of the fundamental component I load 1
                      and then the subtraction of I load 1 from the total load current I load in order to isolate
                      the harmonic component I load h . Figure 8.77 shows the block diagram of the shunt
                      AF controller. As can be seen in this figure, two control loops are used i.e. a DC link
                      voltage control loop and a current loop in a similar way as with the PFC.
                        Direct generation of a VSC `average voltage' reference for current regulation can
                      also be achieved by stationary or rotating frame PI-based current controllers. This
                      last option was selected in this example.
                        Figure 8.78 shows the schematic diagram of the test system used to carry out
                      the time domain analysis of the shunt AF. The system comprises of a three-phase
                      system where a constant AC source is supplying a non-linear load represented by a
                      phase-controlled rectifier. The shunt AF is connected with the AC system between
                      the source and the non-linear load through the reactance of a Y±  coupling trans-
                      former. The connection of the shunt AF to the AC system is controlled by means of
                      breaker Brk. The shunt AF is provided with a control system that measures the load
                      current I load , the VSC output current I VSC , and the DC link voltage V DC . The control
                      logic is then derived based on these measurements. A 175 mF capacitor is connected
                      in the DC side of the VSC to provide the energy storage capability. A firing angle
                      control scheme was designed for the operation of the phase-controlled rectifier. By
                      controlling the instant at which the thyristors are gated, the average current in the
                      rectifier can be controlled in a continuous manner. The control is based on compar-
                      ison of a saw-tooth waveform V st (synchronized with the AC source voltage) against
                      a control signal V control . The thyristor firing angle a with respect to the positive zero
                      crossing of the AC source voltage is obtained in terms of V control and the peak of the
                      saw-tooth waveform V st peak as (Mohan et al., 1995)

                                                           V control
                                                   a ˆ 180                               (8:22)

                                                           V st peak
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