Page 390 - Advances in Renewable Energies and Power Technologies

3. Energy Management for Photovoltaic Installations 363

Table 11.10 Mathematically, Cases Based on Three Switches of PV/Fuel
Cells System
Switches Powers
Modes
K 1 K 2 K 3 K 4 P pv P FC P load P elec
0 0 0 0 Mode 7 0 0 0 0
0 0 0 1 x x x x x
0 0 1 0 Mode 3 0 P FC P FC 0
0 0 1 1 X X X X x
0 1 0 0 Mode 4 P pv 0 P pv 0
0 1 0 1 Mode 5 0 0 0 0
0 1 1 0 Mode 2 P pv P FC P pv þ P FC 0
0 1 1 1 X X X X x
1 0 0 0 Mode 6 P pv 0 0 P pv
1 0 0 1 X X X X x
1 0 1 0 X X X X x
1 0 1 1 X X X X x
1 1 0 1 Mode 1 P pv 0 P pv P pv
1 1 0 1 X X X X x
1 1 1 0 X X X X x
1 1 1 1 X X X X x

Table 11.11 Simplified Table Based on Four Switches of PV/Fuel Cells
System
Switches Powers
Modes
K 1 K 2 K 3 K 4 P pv P FC P load P elec
0 0 0 0 Mode 7 0 0 0 0
0 0 1 0 Mode 3 0 P FC P FC 0
0 1 0 0 Mode 4 P pv 0 P pv 0
0 1 0 1 Mode 5 0 0 0 0
0 1 1 0 Mode 2 P pv P FC P pv þ P FC 0
1 0 0 0 Mode 6 P pv 0 0 P pv
1 1 0 1 Mode 1 P pv 0 P pv P pv

These equations can be minimized to:
(11.22)
P pv ¼ðK 2 þ K 1 Þ$P pv
P FC ¼ðK 3 Þ$P FC (11.23)
(11.24)
P elec ¼ðK 4 Þ$P pv