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uncertainties are from the PV power systems, which inject variable active power
according to the atmosphere condition, and also from the loads that vary quasi-
randomly. Different strategies for maintaining the active power balance have been
proposed, based on the energy storage, dump load control, or a combination of both
and load shedding.
Fig. 1. The structure of microgrid under study
3
MG Control Strategy under Grid-Connected Mode
When the MG works in grid-connected mode, the frequency and the voltage of the
microgrid are maintained within a tight range by the main grid. In this section, we
detail the MG control design under grid-connected mode.
3.1
Normal Model of a PV Array
To control the MG with integration of PV power as shown in Fig 1, to model the PV
array is necessary. A PV array is composed of several PV modules connected in
series-parallel to produce desired voltage and current. Usually, more PV cells are
needed to form the series-parallel PV array. The relationship of the output voltage and
current of one PV cell can be represented as follows:
q
UIR
+
s
(1)
II
=−
I
exp
(
UIR
+ −−
)
1
s
ph
s
AKT
sh
where I is the output current of PV cell; U is the output voltage of PV cell; I ph is the
photocurrent; I s is the reverse saturation current of diode; q is the electronic charge
(1.6×10 -19 C); K is Boltzmann's constant (1.38×10 -23 J/K);
T is Junction temperature;
A is the diode ideality factor; R s is series resister; R sh is shunt resister.
Due to the large value of shunt resistance R sh , the last term in (1) is often omitted,
the short-circuit current and photocurrent are considered to be equal ( I sc I ph ) , and
when the PV cell is on open circuit, the output current is zero, so output current of a
PV cell can be approximated as :
q
(2)
II
=
1exp
(
UIRU
+ −
)
s
sc
oc
AKT
 
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