Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Root Mean Square00:57

Root Mean Square

3.2K
If in an experiment, data values have a probability of being both positive and negative, neither the arithmetic mean, the geometric mean, nor the harmonic mean can be used to calculate the central tendency of the data set. In particular, if the positive and negative values are equally likely, the arithmetic mean is close to zero.
For example, consider the velocity of gas molecules in a container. The gas molecules are moving in different directions, which might impart positive and negative...
3.2K
RMS Value in AC Circuit01:13

RMS Value in AC Circuit

1.8K
The root mean square (RMS) value is a measure of the effective or average value of an alternating current (AC) waveform. In AC circuits, the voltage or current waveform constantly changes direction and magnitude, making it difficult to describe with a single value. The RMS value provides a convenient way to calculate the equivalent DC voltage or current that would produce the same heating effect in a resistor as the AC waveform.
Mathematically, the RMS value of an AC waveform is the square root...
1.8K
Calculation of Electric Flux01:25

Calculation of Electric Flux

1.7K
Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?
1.7K
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

502
The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
502
Calculations of Electric Potential I01:15

Calculations of Electric Potential I

2.0K
Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the ring at a distance x from the center of the ring?
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the...
2.0K
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

1.6K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
1.6K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Advanced modeling and parameter estimation of PEM fuel cells using the g-function and self-adaptive differential evolution algorithm.

Scientific reports·2025
Same author

Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.

PloS one·2024
Same author

Optimal tuning of the novel voltage regulation controller considering the real model of the automatic voltage regulation system.

Heliyon·2023
Same author

Current-voltage curves of planar heterojunction perovskite solar cells - Novel expressions based on Lambert W function and Special Trans Function Theory.

Journal of advanced research·2023
Same author

Single Diode Solar Cells-Improved Model and Exact Current-Voltage Analytical Solution Based on Lambert's W Function.

Sensors (Basel, Switzerland)·2022
Same author

Test-Retest Precision of Myocardial Blood Flow Measurements With <sup>99m</sup>Tc-Tetrofosmin and Solid-State Detector Single Photon Emission Computed Tomography.

Circulation. Cardiovascular imaging·2020

Related Experiment Video

Updated: Jun 12, 2025

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition
14:01

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition

Published on: May 22, 2015

42.7K

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

Martin Ćalasan1, Ivana Radonjić2, Mihailo Micev1

  • 1University of Montenegro, Faculty of Electrical Engineering, 81000, Podgorica, Montenegro.

Heliyon
|September 26, 2024
PubMed
Summary

This study introduces a new method for estimating solar cell parameters by focusing on voltage error, not just current error. It validates the approach with experimental data, confirming its accuracy and applicability for solar cell modeling.

Keywords:
Metaheuristic algorithmParameterRMSESolar cell

More Related Videos

Indoor Experimental Assessment of the Efficiency and Irradiance Spot of the Achromatic Doublet on Glass ADG Fresnel Lens for Concentrating Photovoltaics
09:00

Indoor Experimental Assessment of the Efficiency and Irradiance Spot of the Achromatic Doublet on Glass ADG Fresnel Lens for Concentrating Photovoltaics

Published on: October 27, 2017

8.8K
Ambient Method for the Production of an Ionically Gated Carbon Nanotube Common Cathode in Tandem Organic Solar Cells
14:37

Ambient Method for the Production of an Ionically Gated Carbon Nanotube Common Cathode in Tandem Organic Solar Cells

Published on: November 5, 2014

9.4K

Related Experiment Videos

Last Updated: Jun 12, 2025

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition
14:01

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition

Published on: May 22, 2015

42.7K
Indoor Experimental Assessment of the Efficiency and Irradiance Spot of the Achromatic Doublet on Glass ADG Fresnel Lens for Concentrating Photovoltaics
09:00

Indoor Experimental Assessment of the Efficiency and Irradiance Spot of the Achromatic Doublet on Glass ADG Fresnel Lens for Concentrating Photovoltaics

Published on: October 27, 2017

8.8K
Ambient Method for the Production of an Ionically Gated Carbon Nanotube Common Cathode in Tandem Organic Solar Cells
14:37

Ambient Method for the Production of an Ionically Gated Carbon Nanotube Common Cathode in Tandem Organic Solar Cells

Published on: November 5, 2014

9.4K

Area of Science:

  • Renewable Energy
  • Photovoltaics
  • Electrical Engineering

Background:

  • Current solar cell parameter estimation primarily minimizes Root-Mean-Square Error (RMSE) based on current-voltage (I-U) relationships using the Lambert W function.
  • Existing methods often overlook voltage-based error metrics, potentially limiting model accuracy and applicability.

Purpose of the Study:

  • To introduce a novel analytical solution for calculating RMSE based on measured and estimated solar cell voltages (RMSE_U).
  • To develop and present original formulas for Mean Absolute Error (MAE) and Mean Absolute Percentage Error (MAPE) for solar cell voltages using the g-function.
  • To propose and evaluate a new metaheuristic algorithm, the Chaotic Walrus Optimization Algorithm (Chaotic-WaOA), for solar cell parameter estimation.

Main Methods:

  • Derivation of an analytical solution for RMSE_U using the g-function (LogWright function), enabling U-I relationship representation.
  • Formulation of MAE and MAPE equations for solar cell voltages based on the g-function.
  • Application of the Chaotic Walrus Optimization Algorithm (Chaotic-WaOA) for estimating solar cell parameters to minimize RMSE_U.
  • Experimental validation using RTC France and SOLAREX MSX-60 PV solar modules, a 60Wp monocrystalline module, a Cadmium telluride (CdTe) module, and a multi-crystalline silicon (mSi) module.

Main Results:

  • The proposed RMSE_U calculation method, derived via the g-function, demonstrates numerical applicability and accuracy.
  • The Chaotic Walrus Optimization Algorithm (Chaotic-WaOA) effectively estimates solar cell parameters, achieving minimal RMSE_U.
  • Experimental verification across diverse solar cell types and outdoor conditions confirms the proposed methods' accuracy and feasibility.
  • The study confirms the utility of the g-function for invertible solar cell modeling.

Conclusions:

  • The novel RMSE_U metric and g-function-based approach offer a valuable alternative for solar cell parameter estimation.
  • The Chaotic Walrus Optimization Algorithm (Chaotic-WaOA) presents a robust and accurate metaheuristic for photovoltaic parameter identification.
  • The findings enhance the understanding and modeling of solar cells, contributing to improved photovoltaic system performance and design.