Work

Voltage root mean square error calculation for solar cell parameter estimation: A novel g-function approach

Year: 2024

Type: article

Abstract: The existing research on estimating solar cell parameters mainly focuses on minimizing the Root-Mean-Square Error ( RMSE ) between the estimated and measured current values of solar cells (referred to as the RMSE I ). This involves using an analytical expression for current - I as a function of voltage - U ( I = f 1 ( U )) expressed through the Lambert W function. This paper introduces a new analytical solution for calculating the RMSE between measured and estimated solar cell voltages (referred to as the RMSE U ). The formula is derived using the g -function or LogWright function, which provides a numerically applicable method for representing the analytical relation between solar cell voltage and current ( U = f 2 ( I )). Moreover, the paper presents the original formulas for calculating Mean Absolute Error ( MAE ) and Mean Absolute Percentage Error ( MAPE ) for solar cell voltages expressed through the g -function. The paper also compares various published approaches and examines two well-known solar cells/modules, namely the RTC France solar cell and the SOLAREX MSX–60 PV solar module, in terms of the RMSE U and single-diode solar cell models. Additionally, a novel metaheuristic algorithm, known as the Chaotic Walrus Optimization Algorithm (Chaotic-WaOA), is proposed for solar cell parameter estimation. This algorithm is applied to both mentioned solar cells to determine their parameters in terms of minimal RMSE U . In order to verify the proposed research, experimental observations were conducted on a 60Wp monocrystalline solar module installed at the Faculty of Sciences and Mathematics in Niš, Serbia. This was done using a specialized PV-KLA apparatus under different outdoor conditions. The research was also verified with a Cadmium telluride solar module (CdTe75638) and a multi-crystalline silicon solar module (mSi0188). The investigation results demonstrate the accuracy, applicability, and numerical feasibility of the proposed RMSE expression and algorithm. Additionally, the study confirms the applicability of the g-function in invertible solar cell modeling.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e37887

Authors: Martin Ćalasan, Ivana Radonjić, Mihailo Micev, Milutin Petronijević, Lana Pantić

Institutions: University of Montenegro, University of Nis

Language: English

Topic: Photovoltaic System Optimization Techniques

Subfield: Renewable Energy, Sustainability and the Environment

Field: Energy

Domain: Physical Sciences

SDG: Affordable and clean energy

Open Access status: gold

Estimated APC paid: $2,100