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130  Decision Making Applications in Modern Power Systems


               Step 4: Convergence test
               In this step the convergence of the method (5.3) is tested for any bus i,
            with values in p.u. or real values.
                                     _
                                      ðkÞ
                                   jjV j 2 jV _  ðk21Þ jj
                               ðkÞ    i     i
                           error  5              ; in p:u:values
                               i
                                        V Base i
                                     _
                                     ðkÞ
                                   jjV j 2 jV _  ðk21Þ  jj             ð5:3Þ
                                            i
                                     i
                           error ðkÞ  5          ; in real values
                               i
                                         _
                                          ðkÞ
                                        jV j
                                          i
               For either case (real or p.u. values) the power flow algorithm converges
            when error i 5 0:0001’i:
            5.3.3  The photovoltaic system model
            The PV system model is modeled as a PC element, represented in
            Fig. 5.5. It combines the characteristics of a PV system and an inverter in
            its structure. The model assumes that the inverter can quickly find the
            maximum power point of the panel, a simplifying premise that considers
            an optimized computational time with suitable results for most impact
            studies [19].
               In Fig. 5.5 the parameters necessary for system characterization in daily,
            annual, and cyclic modes are represented. Thus three basic parameters
            (power at the point of maximum power, temperature, and irradiation) are
            provided to the software. Also, some critical curves are necessary for the
            correct operation of the model.























            FIGURE 5.5 OpenDSS PV object diagram [19]. PV, Photovoltaic.
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