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

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ω<br />

o<br />

P<br />

o<br />

P<br />

+<br />

_<br />

m<br />

+<br />

+<br />

+<br />

ω<br />

1 δ<br />

V<br />

(t)<br />

s<br />

P<br />

max<br />

+<br />

errP max<br />

Ki<br />

s<br />

0<br />

Δ ω max<br />

P<br />

+<br />

P = 0 min<br />

errP<br />

min<br />

0<br />

Ki<br />

s<br />

Δ ω min<br />

Figure 3.20 <strong>Control</strong> Diagram to Enforce Limits with Unit <strong>Power</strong> <strong>Control</strong>.<br />

The equation that governs this control has been formally changed from Eq. 3.4 to an equation<br />

that keeps into account <strong>of</strong> changes made in Eq. 3.5 <strong>and</strong> Eq. 3.6 when respectively dealing with<br />

maximum <strong>and</strong> minimum power limits. The final equation is:<br />

ω<br />

( P − P ) + Δω<br />

max+<br />

Δ min<br />

i<br />

= ωo<br />

−<br />

o, i i<br />

ω<br />

m Eq. 3.7<br />

The quantities Δωmax <strong>and</strong> Δωmin are added to the frequency as calculated in Eq. 3.4. Both<br />

quantities are zero when the unit operates within power limits. When Pmax is exceeded, then<br />

Δωmax becomes negative (never positive) to enforce the limit. Conversely, when Pmin = 0 is<br />

exceeded, then Δωmin becomes positive (never negative) to enforce the limit.<br />

This control has been implemented in simulation <strong>and</strong> hardware <strong>and</strong> the results obtained prove the<br />

effectiveness <strong>of</strong> the control design. The control is tested with all known events that can cause<br />

either limit to be exceeded: these hardware results are all included in Chapter 7.<br />

3.2.2 Steady State Characteristics with Feeder Flow <strong>Control</strong><br />

Another possible option for controlling power is to regulate to a constant the flow <strong>of</strong> active<br />

power in the feeder where the unit is installed. The main reason why there is an interest in<br />

exploring the load tracking configuration is because when regulating power on the branches to a<br />

constant value, then the power supplied from the grid will remain unchanged when a load<br />

changes inside the microgrid. There are cases when the utility is interested in having large<br />

customers to draw a constant amount <strong>of</strong> power from the grid, regardless <strong>of</strong> their changing local<br />

38

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