Solar Cells, Lambert W and the LogWright Functions

TL;DR

This paper introduces a novel algorithm using the LogWright function to accurately and efficiently compute the I-V characteristics of solar cells, overcoming numerical overflow issues associated with the Lambert W function.

Contribution

The work presents a new algorithm based on the LogWright function for calculating solar cell I-V curves, improving numerical stability and computational speed over existing Lambert W-based methods.

Findings

Addresses numerical overflow in Lambert W function calculations

Offers faster computation with high precision

Demonstrates improved stability in I-V characteristic calculations

Abstract

Algorithms that calculate the current-voltage (I-V) characteristics of a solar cell play an important role in processes that aim to improve the efficiency of a solar cell. I-V characteristics can be obtained from different models used to represent the solar cell, and the single diode model is a simple yet accurate model for common field implementations. However, the I-V characteristics are obtained by solving implicit equations, which involve repeated iterations and inherent errors associated with numerical methods used. Some methods use the Lambert W function to get an exact explicit formula, but often causes numerical overflow problems. The present work discusses an algorithm to calculate I-V characteristics using the LogWright function, a transformation of the Lambert W function, which addresses the problem of arithmetic overflow that occurs in the Lambert W implementation. An implementation of this algorithm is presented and compared against other algorithms in the literature. It is observed that in addition to addressing the numerical overflow problem, the algorithm based on the LogWright function offers speed benefits while retaining high precision.