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54                                  Hybrid-Renewable Energy Systems in Microgrids


























         Figure 3.12  P/Q inverter droop control with solar PV and BESS.

           The P/Q droop control is somewhat changed by V/f inverter droop control. The
         inverter P/Q control diagram is shown in  Fig.  3.12. In this P/Q control is mainly
         based on the active and reactive power of magnitude and phase output voltage. Here,
         two loops are considered. In loop 1, the reference reactive power is evaluated with
         the actual reactive power, and then error could be fed to the PI controller PI . Then
                                                                       1
 vt      the aforementioned terms and the terminal voltage v  are multiplied and getting the
                                                    t
                                      *
 vc1*    output values is reference voltage  v , which is in phase of the terminal voltage. In
                                      c1
                                                             *
 α *     loop 2, control the active power PI  to generate the phase shift α and it balances the
                                     2
 1
                                                             1
                                                                      *
                                                                             *
                                                                *
                                                                   *
 α
 vc1* *α *α*  active power output from both AC and DC side. The equations of v , α , α  and α
                                                                c1
                                                                   1
                                                                      2
 1 2
         are illustrated by,
                                     t
              *
                 ( (Q
                                                    1)
 vc1*=KP1Qref−Qactual+KI1  v c1 = K P1  ref  −Q actual  ) ) + K I1 ∫ (Q ref  −Q actual ) dt  + v t  (3.29)
 ∫0tQref−Qactual dt+1)vt             0
                                    t
               *
             α = K      − P             − P                             (3.30)
 α *=KP2Pref−Pactual+KI2∫  1  P2 ( P ref  actual ) + K I 2 ∫ ( P ref  actual ) dt
 1
 0tPref−Pactual dt                  0
                                            t
              *
 α *=KP31.02*PACmeasur  α = K P3 (1.02* P ACmeasured  − P DC ) + K I 3 ∫ (1.02*  P AC measured  − P DC ) dt  (3.31)
              2
 2
 ed−PDC+KI3∫0t1.02*PA-                      0
 Cmeasured−PDC dt
 α*=α *+α */2
 2
 1
             α (  α + α ) /2                                            (3.32)
                        *
                    *
               *
                =
                       2
                   1
         7.1  Results and discussion
         The simulation results of PV and battery grid-connected microgrid operation has
         been shown below. The time period 0 s to 0.05 s, the battery, and PV load capacity
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