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106             Renewable Energy Devices and Systems with Simulations in MATLAB  and ANSYS ®
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              The RCC MPPT method exhibits a fast response, but its operation is based on the existence
            of switching ripples, which might be undesirable during the operation of power converters. Also,
            the performance of this MPPT technique is affected by the accuracy of the measurements of the
              correlation function, c t().


            5.3.9  Extremum Seeking Control (ESC) MPPT
            Extremum seeking control (ESC) is a self-optimizing control strategy [53], which operates based
            on a similar principle with RCC MPPT. Their difference is that instead of using the high- frequency
            switching ripple, which is inherent in the power converter, ESC is based on the injection of a  sinusoidal
              perturbation [54–57]. The block diagram of an ESC scheme based on the method  presented in [57] is
            shown in Figure 5.12. The control signal, d t(), corresponds to the duty cycle of the power converter.
            The PV module/array output power, Pt(), is passed through a high-pass filter and demodulated. The
                                          pv
            resulting signal (i.e.,  f t() in Figure 5.12a) has a positive sign in the case that the operating point is
            on the left side of the power–voltage curve in Figure 5.2a, since the perturbation and the PV source
            output power signals are in phase in that case, or else its sign is negative (Figure 5.12b). The control
            signal is produced by integrating f t() and then adding the perturbation α⋅sin( ω ).
                                                                           t



                                                   DC/DC or
                             PV           PV        DC/AC       Output      Load
                             array     current, I pv  power converter  current, I o

                                     PV                               Output
                                  voltage, V pv  Reference Control   voltage, V o
                                             signals
                                                    signal(s)
                                                  PWM
                                                controller
                                                     V (t)
                                                      ref
                                   P (t)       f(t)
                                    pv
                                     High-pass         G   +
                                       filter                +
                                     MPPT
                                    controller  sin(ωt)  α·sin(ωt)
                        (a)                  Control unit

                                   PV array
                                output power, P pv  MPP



                             P (V +v sin(ωt))                 P (V +v sin(ωt))
                                                                     o
                                                                  2
                                                               pv
                                 1
                                    o
                              pv
                                                            PV array output
                                                             voltage, V pv
                            (b)           V +v sin(ωt)  V +v sin(ωt)
                                           1
                                              o
                                                          o
                                                       2
            FIGURE 5.12  ESC-based PV MPPT based on the method presented in Malek et al. (2014): (a) a block dia-
            gram of the MPPT controller and (b) the resulting operating points on the power–voltage curve of the PV source.
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