Page 136 - Hybrid-Renewable Energy Systems in Microgrids

120 Hybrid-Renewable Energy Systems in Microgrids

Figure 7.4 (Continued)

Similarly, the instantaneous power at the PCC can be further expanded by substitut-
ing Eqs. (7.28) and (7.29) into Eqs. (7.22) and (7.23):

∗
kP ∗ 2 1 ( − kP ) ∗ 2  kP ( 1− kP ) ∗ 
p = p 2 v + + p 2 v − +  p 2 + p 2  vv −
+
v + v −   v + v −  

P + P − P p
2
2
p=kpP∗v+ v+ ⊥P++1−kpP∗v−- kQ ( kQ ) ∗ (7.30)
2
2
2 v − ⊥ P − + k p P ∗ v+ +1 − k p P ∗ v +   q ∗ − 1− q   vv −
+
2
2
− v+v−⊥Pp~+kqQ∗v+ −1−kqQ∗   v + 2 v − 2   ⊥
2
v− v⊥+v−⊥Pq~
P q