This document describes a numerical simulation of a photovoltaic (PV) cell using the Newton-Raphson method. It discusses using a two-diode model to describe the electrical behavior of a solar cell and adapting this model to include breakdown behavior at high negative voltages. It then presents the equivalent circuit of a PV cell and describes simulating the cell's behavior by setting a function f(V,I) equal to zero and iteratively solving for the current I using the Newton-Raphson method until the change in successive iteration values is less than a small value E.

1. PRASHANT
SRIVASTAV
B.TECH
ELECTRICAL & ELECTRONICS
ENGINEERING
( THIRD SEMESTER )
ROORKEE COLLEGE
OF ENGINEERING

2. NUMERICAL SIMULATION OF PV
CELL USING NEWTON – RAPHSON
METHOD
INTRODUCTION –
➢ For the description of the electrical behavior of a
solar cell during generating operation the two
diodes model is commonly used.
➢ For cells which are driven in the negative voltage
range another model is necessary, which
describes the breakdown region at high negative
voltages.
➢ This model can be adapted to the two diodes
model and offers optimal conditions for the
description of the solar cell characteristics.

3. EQUIVALENT CIRCUIT OF
PV CELL

4. SIMULATION OF PV CELL
f ( V,I ) = 0 , where, V = given voltage
I = current & I expected to be a single root
Starting With The Following Iteration, I0 Is Initial
Value :
I1 = I0 – f ( V,I0)
f’(V, I0)
➢ The iteration stops if a suitable condition is met. In
the case above the absolute difference of two
succeeding values of the iteration is used:
➢ | Ii+1 – Ii| < E

5. DERIVATIVE OF PV CELL
EQUATION

6. V-I CHARACTERISTICS OF AN
UNILLUMINATED PV CELL

7. Thanks!
God &
All of you.