PV Modules and Array

The schematic shown in fig. 20 illustrates how solar cells are connected within a solar module. The output power from a single PV cell is relatively small (approx­imately 0.5 W) [20]. To maximize voltage and power, a solar array is a must. A PV array consists of numerous solar modules that are combined in series and pa­rallel to form panels, and these panels are connected together to form the entire PV array. The architecture can be thought of similar to fig. 19 with modules re­placing the cells. So, in a micro grid, there may be numerous solar arrays con­nected to provide the required power to a load. The equations used to solve the module current are presented below, where the superscripts: C represents the solar cell, M represents the solar module, and A represents the solar array. Each solar module contains a manufacturer’s data sheet that contains parameters for standard operating conditions. The parameters used are related to the datasheet to test and validate the model as well.

Maximum power for cell

PV Modules and Array

PV Modules and Array

(45)

 

max, 0

 

PV Modules and Array

Fig. 20 PV Module with NSM Series Branches and NPM Parallel Branches

 

Open circuit voltage for cell

PV Modules and Array

(46)

 

Short circuit current for cell

PV Modules and Array

(47)

 

Thermal voltage of the cell

PV Modules and Array

(48)

 

Open circuit voltage of the module

rC

ОС, о

vc

Vt,0

 

(49)

 

VOC,0

 

PV Modules and Array Подпись: (50)

Fill factor

Fill factor at standard conditions

Подпись: (51)vOC,0~^n{vOC,0 + 0.72)

ГГп

vOC, 0 + 1

Equivalent series resistance

 

FF

FF0

 

(52)

(53)

(54)

(55)

(56)

(57)

 

1

 

Serial resistance of a cell

 

t C ‘svOC,0

KS — ,c ‘sc, о

 

Cell parameters for operating conditions with inputs are: VM, Ta, Ga Irradiation Parameters

 

PV Modules and Array

Short circuit operating current

 

I sc — Ci Ga

 

Working temperature of cell

 

TL=Ta + C2Ga

 

Open circuit voltage

 

Vqc = V0cc, o – C3(TC – Г0С)

 

Thermal voltage of cell

 

PV Modules and Array

(58)

 

Calculated solar module current using cell parameters

 

rC.,MRCNSM>

SNpm

 

Iм = l£rNp

 

(59)

 

1 — exp

 

vCnSM

 

Short circuit current for the module

 

jM _ jC Ы ‘SC — ‘SCnPM

 

(60)

 

Open circuit voltage for module

 

PV Modules and Array Подпись: (62)

Equivalent serial resistance for the cell

PV Modules and Array Подпись: (63)

Thermal voltage of module

Module current

Подпись:Подпись: (65)1 — exp

Module voltage

/,м _,м

Module power

pM = yMjM (66)

Also, array currents and voltage are calculated from the equations below.

Total current of array

1А = ҐЇ™1і (67)

Simplified total current of array

Iа = NsaVm (68)

Power generated by array

pA = yAjA (69)

Updated: October 27, 2015 — 12:10 pm