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Overview of PV Maximum Power Point Tracking Techniques                      105


                                                     MPP
                                                    E     PV source
                                                 D
                                                           curve
                                        output power, P pv  A  curve
                                      PV array  B  Estimated  C
                                                  parabolic






                                            PV array output voltage, V pv

            FIGURE 5.11  The parabolic prediction MPPT algorithm based on the procedure proposed in Pai et al. (2011).


              Although effective in deriving the MPP of the PV source, these techniques exhibit higher implemen-
            tation complexity as compared to the simpler algorithms, such as the P&O and InC MPPT methods.

            5.3.8  Ripple Correlation Control (RCC) MPPT
            In order to avoid employing a derivative for performing the MPPT process, the gradient of the
            power–voltage curve,   ∂P pv  , employed in the P&O technique for detecting the direction toward
                              ∂V pv
            which the MPP resides is replaced in the ripple correlation control (RCC) MPPT method by the
            following correlation function [49]:

                                                  ∂ P pv ∂
                                             c t() =  ⋅  V pv                         (5.15)
                                                    t ∂  t ∂

              In case a DC/DC converter is used to interface the PV-generated energy to the load, the duty
            cycle, d t(), of the power converter at time t, is adjusted according to the following control law:
                                                 t
                                                 ∫
                                                         τ
                                               k
                                                        (
                                          d t() =⋅ sign( c lp )) dτ                   (5.16)
                                                 0
            where k is a constant and c t() is the result of low-pass filtering the correlation function c t() given
                                  lp
            by (5.15).
              In order to simplify the hardware implementation of the MPPT system, the values of   ∂P pv   and
                                                                                     ∂t
                 in (5.15) are calculated by measuring the AC disturbances (i.e., ripples) at the operating point
            ∂V pv
             ∂t
            of the PV source, which are due to the high-frequency switching operation of the power converter.
            The derivatives are measured using high-pass filters with a cutoff frequency higher than the ripple
            frequency (i.e., switching frequency) [50]. In [51], the PWM dithering technique is applied for
            increasing the resolution of the power converter PWM control signal. The resulting ripple in the
            output current and voltage of the PV source, which is due to the dithering process, is then exploited
            for applying the RCC MPPT method.
              Targeting to increase the accuracy of the MPP tracking process, a variation of the RCC method
            is proposed in [52]. In this technique, the phase displacement of the PV source output voltage and
            current ripples is monitored. A change in this phase displacement indicates that the peak of the cur-
            rent ripple of the PV source has reached the MPP. Then, the DC component of the PV source output
            current is regulated at the value of the detected MPP.
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