Standalone hybrid generation system for the remote area of Thar, Pakistan
parallel to provide the desired output voltage and current. The well-known equivalent circuit of solar
cells arranged in NP-parallel and NS-series is shown in Fig. 2.3. It is composed of a light-generated
current source, a diode representing the nonlinear impedance of the pen junction,
and series and
parallel intrinsic resistances. The mathematical model that predicts the power production of the PV
generator becomes
an algebraically simply model, being the current-voltage relationship defined in
Eq. (1) [6,7]
Where:
IA: PV array output current
VA: PV array output voltage
IPh: Solar cell photocurrent
Fig. 2.3 Equivalent circuit of solar cell
Irs: Solar cell reverse saturation current (aka dark current).
q: Electron charge, 1.60217733ee19 Cb.
A: P-N junction ideality factor, between 1 and 5.
k: Boltzmann’s constant, 1.380658ee23 J/K.
Tc: Solar cell
absolute operating temperature, K.
Rs: Cell intrinsic series resistance.
Rp: Cell intrinsic shunt or parallel resistance.
The photocurrent Iph for any operating conditions of the PV array is assumed to be related to the
photocurrent at standard test conditions (STC) as follows:
f
AM
a
: Absolute air mass function describing solar spectral influence on the photocurrent I
Ph.
f
IA
: Incidence angle function describing influence on the photocurrent I
Ph.
I
SC
: Cell short-circuit current at STC.
a
Isc
: Cell temperature coefficient
of the short-circuit current, A/module/diff. temp. (K).
T
R
: Solar cell absolute reference temperature at STC, K.
S: Total solar radiation absorbed at the plane-of-array, W/m
2.
S
R
: Total solar reference radiation at STC, 1000 W/m
2.