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Overview of PV Maximum Power Point Tracking Techniques                       99


            the current and voltage in the single-diode model of the PV modules. The resulting value is used to
            detect whether a variation of the PV source output power is due to a change of the solar irradiation
            conditions or the MPPT process itself.
              The P&O method is characterized by its operational and implementation simplicity. However, it
            exhibits a slow convergence speed under varying solar irradiation conditions and its performance
            may also be affected by system noise.


            5.3.3  Incremental-Conductance MPPT

            At the MPP of the PV source, it holds that
                                          ⋅ )
                                =⇒             = I pv  +  V pv  =⇒    =−
                            ∂P pv    ∂(I pv  V pv    ∂I pv       ∂I pv   I pv          (5.6)
                                                             0
                                 0
                            ∂V pv       ∂V pv        ∂V pv       ∂V pv   V ppv
            where I pv  is the output current of the PV array.
              Due to the shape of the current–voltage characteristic of the PV module/array in Figure 5.5b,
            the value of   ∂I pv   is higher than  −  I pv   at the left side of the MPP and lower than  −  I pv   at its right
                      ∂V pv             V pv                                   V pv
            side. The incremental-conductance (InC) MPPT technique operates by measuring the PV module/
            array output voltage and current and comparing the value of   ∂I pv   with  −  I pv  . Then, the power con-
                                                            ∂V pv     V pv
            verter is controlled based on the result of this comparison, according to the flowchart illustrated
            in Figure 5.7, which is based on the procedure presented in [31]. Similar to the P&O process, the
            execution of the algorithm shown in Figure 5.7 is iteratively repeated until the difference between
                 and −   is less than a predefined value, which indicates that the MPP has been tracked with
            ∂I pv    I pv
            ∂V pv    V pv
            an acceptable accuracy.
              Alternatively, the InC method may be implemented by controlling the power converter according
                           ∂ I pv
            to the sign of I pv +  V pv  such that its value is adjusted to zero as dictated by (5.6).
                           ∂ V pv




                                            Start the kth iteration

                                            Measure I (k), V (k)
                                                   pv
                                                        pv
                                           Calculate the deviations
                                              (k)= V (k)–V (k–1)
                                           V pv   pv    pv
                                            I (k)= I (k)–I (k–1)
                                             pv
                                                       pv
                                                  pv
                                          I (k)/ V (k)> –I (k)/V (k)?
                                                      pv
                                                          pv
                                          pv
                                                pv
                               Yes                                    No
                                                                       ref
                         V ref (k)= V (k–1)+α                   V ref (k)=V (k–1)–α
                                ref
            FIGURE 5.7  A flowchart of the InC MPPT algorithm based on the procedure presented in Elgendy et al.
            (2013).
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