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

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Q versus E Droop<br />

E req<br />

Q<br />

m Q<br />

_<br />

+<br />

E o<br />

Figure 3.8 Q versus Load Voltage, E, Droop Block.<br />

The inputs <strong>of</strong> this block are the desired voltage at the regulated bus <strong>and</strong> the current injection <strong>of</strong><br />

reactive power from the microsource. The output is the new value <strong>of</strong> voltage request that<br />

replaces the one comm<strong>and</strong>ed from outside. This new value is obtained from the linear<br />

characteristic <strong>of</strong> the droop.<br />

Figure 3.8 exp<strong>and</strong>s the block labeled as “Q versus E droop” in Figure 3.2 to allow to see the<br />

details. This block is responsible for modifying the value <strong>of</strong> the reference voltage that is<br />

comm<strong>and</strong>ed from outside. When two units are located electrically near each other <strong>and</strong> given two<br />

voltage setpoints, they will try to achieve those requested voltages by injecting reactive power. If<br />

the two setpoints are somewhat different from each other, then one machine will inject a large<br />

amount <strong>of</strong> capacitive power, while the other will inject inductive power.<br />

This situation comes as a consequence that the units will have to create the requested difference<br />

<strong>of</strong> voltage by injecting a large current over the small impedance that there is between the units.<br />

In this scenario reactive current will flow from one unit to the other, creating the problem <strong>of</strong> the<br />

circulating currents. These currents flow in the machines, reducing the amount <strong>of</strong> ratings<br />

available to face new load requests.<br />

To mitigate this problem, a reactive power versus voltage droop is adopted. This characteristic is<br />

designed to convert the external comm<strong>and</strong> <strong>of</strong> the voltage E req into the value E o . The larger is<br />

the amount <strong>of</strong> capacitive power that is injected, the lower this value is allowed to sag compared<br />

to the external request. Conversely, E o is allowed to swell as inductive current is injected. In<br />

this way, if two neighboring units have voltage setpoints E req that are too far apart, then the<br />

actual comm<strong>and</strong>s E o <strong>of</strong> the units will result nearer to each other. This correction successfully<br />

limits the circulating reactive currents because it limits the reactive power injections to achieve<br />

the adjusted voltages. The characteristic is represented in Figure 3.9 where it is possible to see<br />

how the block corrects the reference voltage according to the sign <strong>of</strong> the injected reactive power.<br />

25

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