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60              Renewable Energy Devices and Systems with Simulations in MATLAB  and ANSYS ®
                                                                                ®

                                            Proportional
                                             controller
                          i pv    P&O     υ*        Duty cycle  Comparator
                                  MPPT     pv   k m          +
                         υ pv    algorithm                              PWM b
                                                             –
                                             Sawtooth
                         (a)                carrier signal
                                              PR controller

                              i* g  +          k +  k pi s  +  υ* inv  PWM inv
                                                pr
                                                   2
                                 –                s +ω g 2  +
                                   i g
                                                   h
                                              Σ   k pi s
                                                 2
                                              h s +(hω ) 2
                                                     g
                              (b)       Harmonic compensator (RHC)
            FIGURE 3.23  Details of the MPPT and CCs for a double-stage single-phase PV system (see Figure 3.20b):
            (a) MPPT control structure for the boost converter and (b) CC with a harmonic compensator, where k m , k pr , k pi ,
                h
            and k pi  are the controller parameters.


            the RHC is enabled, which can maintain a high-quality grid current. Specifically, when the RHC is
            absent, the resultant THD of the grid current is around 3.6% at the nominal operating condition. In
            contrast, when the harmonic compensator is added in parallel with the PR controller, the harmonics
            in the grid current have been suppressed, thus leading to a THD of 2.1%. It is suggested using the
            provided model to identify the difference as an exercise.



            3.5  SUMMARY

            In this chapter, a review of the recent technology of single-phase PV systems has been con-
            ducted. Demands for the single-phase PV systems, including the grid-connected standards, the
            solar PV panel requirements, the ground current requirements, the efficiency, and the reliability
            of the single-phase PV converters have been emphasized. Since achieving higher conversion
            efficiency is always of intense interest, both the transformerless single-stage (with an integrated
            DC–DC converter) and the transformerless double-stage (with a separate DC–DC converter) PV
            topologies have been in focus. The review reveals that the AC-module single-stage PV topolo-
            gies are not very suitable for use in the European grid, since it is difficult to achieve a desirable
            voltage, and thus, the daily operating time is limited. The AC-module inverter concept is very
            flexible for small PV units with lower power ratings. In contrast, the string inverters are gaining
            greater popularity in Europe due to the higher efficiency that they are able to achieve. Especially,
            when a DC–DC boost stage is included, the MPPT control becomes more convenient, and the
            operating time of the PV systems is then extended. Finally, the general control structures for
            both single-stage and double-stage transformerless PV systems are presented, as well as a brief
            discussion on the synchronization and monitoring technologies. Operational examples are also
            provided at the end of this chapter.
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