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

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droop. The issue is that it is possible to create an initial condition with a current that grows in the<br />

opposite direction from the forced solution that exists in steady state. The current must have only<br />

one transient: growing from zero to the final steady state value.<br />

To make a stronger point, some simulation results with a single microsource connected to the<br />

grid will be shown. At first, the simulation will not meet condition (ii). Figure 2.7 shows the<br />

currents flowing in the static switch while Figure 2.8 shows the voltage across the static switch<br />

on the upper plot <strong>and</strong> the current injected by the microsource on the lower plot. Figure 2.9 shows<br />

the active power injected by the unit on the upper plot <strong>and</strong> the frequency <strong>of</strong> the microgrid on the<br />

lower plot. From all these plots it should be noticed:<br />

a) the current from the grid increasing, going to zero (reversing) <strong>and</strong> then increasing again on<br />

all three phases<br />

b) the microsource injects even more power than it is injecting in isl<strong>and</strong>, to feed the grid, <strong>and</strong><br />

backs <strong>of</strong>f immediately to the requested level.<br />

c) the load always takes the same amount <strong>of</strong> power since its voltage is unperturbed, so the extra<br />

power that the microsource generates transiently goes into the grid.<br />

The microsource power comm<strong>and</strong> is 0.2 pu, while the load takes 0.65 pu (all provided by the<br />

unit during isl<strong>and</strong> mode): transiently the source generates up to 0.9 pu, with the extra power<br />

being injected in the grid.<br />

Igrid_a [A]<br />

Igrid_b [A]<br />

Igrid_c [A]<br />

Time [s]<br />

Figure 2.7 Three Phase Currents <strong>of</strong> the Static Switch, with Condition (ii) not Met.<br />

13

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