A Practical Example of the Impact of Uncertainty on the One-Dimensional Single-Diode Model

TL;DR

This paper demonstrates a mathematical methodology to incorporate uncertainty in the parameters of the one-dimensional single-diode model for photovoltaic systems, improving the understanding of how measurement uncertainties affect model accuracy.

Contribution

It introduces a novel approach to account for uncertainty in the SDM parameters by solving nonlinear equations based on the cardinal points of I-V curves.

Findings

Feasibility of including uncertainty in SDM parameters

Effective modeling of uncertainty impacts on PV system analysis

Enhanced understanding of measurement variability effects

Abstract

The state of health of solar photovoltaic (PV) systems is assessed by measuring the current-voltage (I-V) curves, which present a collection of three cardinal points: the short-circuit point, the open-circuit point, and the maximum power point. To understand the response of PV systems, the I-V curve is typically modeled using the well-known single-diode model (SDM), which involves five parameters. However, the SDM can be expressed as a function of one parameter when the information of the cardinal points is incorporated into the formulation. This paper presents a methodology to address the uncertainty of the cardinal points on the parameters of the single-diode model based on the mathematical theory. Utilizing the one-dimensional single-diode model as the basis, the study demonstrates that it is possible to include the uncertainty by solving a set of nonlinear equations. The results highlight the feasibility and effectiveness of this approach in accounting for uncertainties in the SDM parameters.