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Control and Design of Microgrid Components - Power Systems ...

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A<br />

16<br />

DG<br />

B<br />

22<br />

DG<br />

Static<br />

Switch<br />

C<br />

8<br />

D<br />

11<br />

DG<br />

DG<br />

Grid<br />

Sensitive<br />

Loads<br />

PCC<br />

Non Sensitive<br />

Loads<br />

Figure 3.14 Unit <strong>Power</strong> Configuration.<br />

Figure 3.15 shows the steady state P-ω characteristics for two units when using the constant<br />

minimum slope:<br />

Δω<br />

m = −<br />

Eq. 3.3<br />

P max<br />

This slope allows power to change between P=0 <strong>and</strong> P=Pmax as frequency changes <strong>of</strong> Δω,<br />

shown in Figure 3.15 with the thick dashed line. All the other characteristics are simply parallel<br />

to this one. If the system is importing from the grid before isl<strong>and</strong>ing, then the resulting<br />

frequency, ω_imp is smaller than the system frequency ωo, as already seen. It is possible that<br />

one <strong>of</strong> the units reaches maximum power in isl<strong>and</strong> mode, as shown by unit 2 at frequency<br />

ω_imp. The steady state characteristic slope switches to vertical as soon as the maximum power<br />

limit has been reached <strong>and</strong> the operating point moves downward vertically as shown by the<br />

arrows in Figure 3.15 as load increases. Opposite considerations take place when unit is<br />

exporting <strong>and</strong> new frequency ω_exp is larger than nominal. It is possible that if the load is very<br />

small that one <strong>of</strong> the units has reached the limit P=0. At that point, the slope <strong>of</strong> the characteristic<br />

31

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