An Iterative Analytical Solution for Calculating Maximum Power Point in Photovoltaic Systems Under Partial Shading Conditions

Arjun, M.; Ramana, Vanjari Venkata; Viswadev, Roopa; Venkatesaperumal, B.

doi:10.1109/tcsii.2018.2867088

Cited by 11 publications

(9 citation statements)

References 13 publications

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“…These may include factors that real cells will eventually experience, for instance, degradation due to aging or shunt resistance effects. Although the derived model cannot account for, e.g., cell degradation, it is worth noting that neither can the diode equation in Equation ( 1), nor the modified diode equation in Equation (6). The analytical expressions derived in the present work were subjected to the same practical limitations that the modified diode equation was.…”

Section: Experimental Validation and Remarksmentioning

confidence: 99%

“…The latter authors later made use of this expression to derive analytical expressions for V oc and i sc . The maximum power point (MPP) has been little explored from an analytical perspective, although some exceptions exist [4][5][6][7][8]. The reason for this lies in the fact that, when series resistance is considered, deriving an expression for the maximum power point voltage, V mpp , involves solving a transcendental equation.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Modeling of the Maximum Power Point with Series Resistance

Garcia

Strandberg

2021

Applied Sciences

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This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity of the model, as well as the mathematical assumptions taken to derive it are explained and discussed. To test the accuracy of the derived model, a numerical single-diode model with solar cell parameters whose values can be found in the latest installment of the solar cell efficiency tables was used. The accuracy of the derived model was found to increase with increasing bandgap and to decrease with increasing series resistance. An experimental validation of the analytical model is provided and its practical limitations addressed. The new expressions predicted the maximum power obtainable by the studied cells with estimated errors below 0.1% compared to the numerical model, for typical values of the series resistance.

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Section: Experimental Validation and Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Modeling of the Maximum Power Point with Series Resistance

Garcia

Strandberg

2021

Applied Sciences

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“…The integration of these PV sources into electrical grids generally requires the power electronic converters to manage their energy production to maximize the producer's profit [5]. This energy management is achieved through linear and non-linear control strategies applied to find and maintain the operation of the PV module in the maximum power point (MPP) [6]- [8]. In the literature, different models are utilized to represent the PV modules, which are composed of one, two, or three diodes.…”

Section: Introductionmentioning

confidence: 99%

Parametric estimation in photovoltaic modules using the crow search algorithm

Montoya

Ramírez-Vanegas

Grisales-Noreña

2022

IJECE

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The problem of parametric estimation in photovoltaic (PV) modules considering manufacturer information is addressed in this research from the perspective of combinatorial optimization. With the data sheet provided by the PV manufacturer, a non-linear non-convex optimization problem is formulated that contains information regarding maximum power, open-circuit, and short-circuit points. To estimate the three parameters of the PV model (i.e., the ideality diode factor (a) and the parallel and series resistances (Rp and Rs)), the crow search algorithm (CSA) is employed, which is a metaheuristic optimization technique inspired by the behavior of the crows searching food deposits. The CSA allows the exploration and exploitation of the solution space through a simple evolution rule derived from the classical PSO method. Numerical simulations reveal the effectiveness and robustness of the CSA to estimate these parameters with objective function values lower than 1 × 10−28 and processing times less than 2 s. All the numerical simulations were developed in MATLAB 2020a and compared with the sine-cosine and vortex search algorithms recently reported in the literature.

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“…An iterative analytical circuit‐based method is proposed in [32]. A system of equations is solved utilising the “fsolve” solver in MATLAB.…”

Section: Introductionmentioning

confidence: 99%

A fast and accurate approach for power losses quantification of photovoltaic power systems under partial‐shading conditions

Al-Smadi

Mahmoud

Xiao

2021

IET Renewable Power Gen

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Predicting the output power of partially‐shaded photovoltaic (PV) systems has a crucial role in the field of photovoltaic system studies and design. A significant number of models, circuit simulation techniques and power prediction formulations are proposed in the literature. However, several factors could limit their application such as computational burden, accuracy and their applicability to different levels of photovoltaic system. An analytical circuit‐based approach is proposed to predict the output power and power losses of partially‐shaded photovoltaic systems. The proposed approach is distinguished by high accuracy, low computational time and applicability to all photovoltaic system levels. Hence, it enables the assessment of partial shading mitigation ability of various photovoltaic system architectures. Furthermore, the proposed approach has no limitations on the size of photovoltaic system, for example, as in circuit‐based simulation analysis. An extensive simulation‐based comparison study for five partially‐shaded photovoltaic systems is conducted to compare the accuracy and computational time of the proposed approach with the detailed, well‐established single diode model. The accuracy of the proposed approach is also validated experimentally on a photovoltaic system of 12 series‐connected photovoltaic modules. Furthermore, a set of comparisons with experimental measurements from the literature is presented.

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An Iterative Analytical Solution for Calculating Maximum Power Point in Photovoltaic Systems Under Partial Shading Conditions

Cited by 11 publications

References 13 publications

Analytical Modeling of the Maximum Power Point with Series Resistance

Analytical Modeling of the Maximum Power Point with Series Resistance

Parametric estimation in photovoltaic modules using the crow search algorithm

A fast and accurate approach for power losses quantification of photovoltaic power systems under partial‐shading conditions

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