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

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P-w droop with fixed slope<br />

The values <strong>of</strong> Pmax=15kW <strong>and</strong> Δωmin=0.5Hz define range <strong>of</strong> operating values on the P,ω plane<br />

shown on Figure 6.4.<br />

ω<br />

ω o<br />

ω 1<br />

Unit a<br />

P ao<br />

Unit b<br />

P bo<br />

P a1 P b1<br />

ω min<br />

P<br />

P<br />

max<br />

Figure 6.4 The Active <strong>Power</strong> versus Frequency Droop.<br />

The value for the fixed slope ‘m’ <strong>of</strong> the droop is chosen to be corresponding to the value <strong>of</strong> the<br />

slope obtained for Po=0 when using the fixed slope Eq.3.3 :<br />

ωo<br />

− ω<br />

m = −<br />

P<br />

max o<br />

min<br />

P o<br />

= 0<br />

1<br />

2π<br />

= −<br />

2<br />

15kW<br />

π<br />

= −<br />

15kW<br />

Q-E droop slope <strong>and</strong> setpoint<br />

The value <strong>of</strong> Qmax helps to determine the slope for the Q-E droop, once the value <strong>of</strong> the<br />

maximum excursion expected for the voltage, ΔE, is known. The maximum excursion in voltage<br />

can be thought to be the difference in voltage between the best <strong>and</strong> worse case scenario.<br />

The best case scenario is represented by the microgrid fully energized from the grid, without<br />

microsources <strong>and</strong> without any load attached to it. The voltage pr<strong>of</strong>ile is to be expected to be<br />

absolutely flat, since no current are flowing in, <strong>and</strong> the voltage equal to the rated voltage <strong>of</strong> the<br />

system.<br />

80

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