A method for hybrid extraction of single-diode model parameters of photovoltaics

Arabshahi, Mohammad Reza; Torkaman, Hossein; Keyhani, A.

doi:10.1016/j.renene.2020.05.035

Cited by 40 publications

(34 citation statements)

References 29 publications

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“…The thermal voltage is mainly stated as [10]:

{normalV}_{normalt} = \frac{K T D}{q}

where K is Boltzmann's constant (= 1.389

\times 10^{- 23} normalJ / {false(}^{\circ} K false) false)

, q is defined as the electron charge (= 1.609

\times 10^{- 19} {false(}^{\circ} C false) false)

, D is the diode ideality factor, and T is the temperature. In the manufacturer's datasheet, the following information always exists for the standard test conditions (STC: temperature, 25 °C; irradiance,

1000 normalW / {normalm}^{2}

): short

-

circuit current

I_{sc}

; open‐circuit voltage

V_{oc}

; voltage

V_{mpp}

and current

I_{mpp}

at the maximum power point (MPP); temperature coefficient for the short‐circuit current; and open‐circuit voltage (

K_{i}

K_{v}

).…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

“…There are three major key points on every

I - V

characteristic. These major key points, (

0

I_{sc}

), (

V_{oc}

0

), and (

V_{mpp}

I_{mpp}

), are illustrated in Figure 4 [10, 32].…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

“…These unknown parameters were discussed previously. With the substitution of these major key points into Equation (), a set of equations are derived at STC as follows [10]:

{normalV}_{normalt} = \frac{{normalR}_{normals} {normalI}_{mpp} + {normalV}_{mpp} - {normalV}_{oc}}{nln \{\frac{((), I_{sc} - I_{mpp}) ((), R_{s} + R_{sh}) - V_{mpp}}{I_{mpp} ((), R_{s} + R_{sh}) - V_{oc}}\}}

{normalR}_{normals} = \frac{{normalV}_{oc} - {normalV}_{mpp} + n {normalV}_{normalt} \ln (λ)}{I_{mpp}}

where

λ

in (5) is calculated by

\begin{matrix} true \\ right λ^{- 1} & = & left \frac{{normalV}_{mpp} {normalI}_{sc} false({normalR}_{normals} + {normalR}_{sh} false) + {normalI}_{sc} {normalR}_{normals} {normalI}_{mpp} false({normalR}_{normals} + {normalR}_{sh} false)}{n {normalV}_{normalt} false({normalI}_{mpp} {normalR}_{sh} + {normalI}_{mpp} {normalR}_{normals} - {normalV}_{mpp} false)} \\ left + \frac{V_{oc} (I_{mpp} R_{s} - V_{mpp})}{normaln V_{t} (I_{mpp} R_{sh} +} \end{matrix}

…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

See 2 more Smart Citations

On the modelling, analysis, and design of a suboptimal controller for a class of wind/PV/battery based DC microgrid

Arabshahi

Torkaman

Bagheri

et al. 2021

IET Renewable Power Gen

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This study deals with the comprehensive modelling, analysis, and control of a DC microgrid (MG) in islanded mode. The proposed DC MG comprises a wind turbine, a photovoltaic (PV) source, battery storage, DC/DC source, and load side converters with DC loads. To this aim, a circuit‐oriented modelling of the whole system is developed. The PV source is modelled with a single‐diode electrical circuit. Afterward, a mathematical model of the system with state‐space representation was derived. A detailed analysis of PV system design is performed because the parameters of PV are appearing in the dynamic model of DC MG. For the purpose of controller development, the dynamic model of the DC MG, which is modelled by a non‐linear‐non‐affine eight‐order system, is linearized around an equilibrium point using the Jacobian matrix framework, while stability using eigenvalue is carried out showing that the stability is guaranteed under operating condition. Finally, for the first time, the state‐dependent Riccati equation (SDRE) technique is proposed to find the optimal regulation problem for the DC MG with non‐linear‐non‐affine dynamics. The numerical simulation studies first confirm the validity of the performed mathematical, then the effectiveness of the proposed non‐linear controller is evaluated under illumination and load change.

show abstract

“…The thermal voltage is mainly stated as [10]:

{normalV}_{normalt} = \frac{K T D}{q}

where K is Boltzmann's constant (= 1.389

\times 10^{- 23} normalJ / {false(}^{\circ} K false) false)

, q is defined as the electron charge (= 1.609

\times 10^{- 19} {false(}^{\circ} C false) false)

1000 normalW / {normalm}^{2}

): short

-

circuit current

I_{sc}

; open‐circuit voltage

V_{oc}

; voltage

V_{mpp}

and current

I_{mpp}

at the maximum power point (MPP); temperature coefficient for the short‐circuit current; and open‐circuit voltage (

K_{i}

K_{v}

).…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

“…There are three major key points on every

I - V

characteristic. These major key points, (

0

I_{sc}

), (

V_{oc}

0

), and (

V_{mpp}

I_{mpp}

), are illustrated in Figure 4 [10, 32].…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

“…These unknown parameters were discussed previously. With the substitution of these major key points into Equation (), a set of equations are derived at STC as follows [10]:

{normalV}_{normalt} = \frac{{normalR}_{normals} {normalI}_{mpp} + {normalV}_{mpp} - {normalV}_{oc}}{nln \{\frac{((), I_{sc} - I_{mpp}) ((), R_{s} + R_{sh}) - V_{mpp}}{I_{mpp} ((), R_{s} + R_{sh}) - V_{oc}}\}}

{normalR}_{normals} = \frac{{normalV}_{oc} - {normalV}_{mpp} + n {normalV}_{normalt} \ln (λ)}{I_{mpp}}

where

λ

in (5) is calculated by

\begin{matrix} true \\ right λ^{- 1} & = & left \frac{{normalV}_{mpp} {normalI}_{sc} false({normalR}_{normals} + {normalR}_{sh} false) + {normalI}_{sc} {normalR}_{normals} {normalI}_{mpp} false({normalR}_{normals} + {normalR}_{sh} false)}{n {normalV}_{normalt} false({normalI}_{mpp} {normalR}_{sh} + {normalI}_{mpp} {normalR}_{normals} - {normalV}_{mpp} false)} \\ left + \frac{V_{oc} (I_{mpp} R_{s} - V_{mpp})}{normaln V_{t} (I_{mpp} R_{sh} +} \end{matrix}

…”

Section: Mathematical Modelling Of the Proposed DC Mg In Islanded Modementioning

confidence: 99%

See 1 more Smart Citation

On the modelling, analysis, and design of a suboptimal controller for a class of wind/PV/battery based DC microgrid

Arabshahi

Torkaman

Bagheri

et al. 2021

IET Renewable Power Gen

View full text Add to dashboard Cite

show abstract

“…Qais et al (2019) 8 proposed a three‐diode‐based model to forecast the I–V characteristics of PV modules and found a good agreement with actual results. Arabshahi et al 9 developed an analytical and optimization algorithm‐based hybrid model to extract the five unidentified parameters of a one‐diode PV model.…”

Section: Introductionmentioning

confidence: 99%

A new integrated single‐diode solar cell model for photovoltaic power prediction with experimental validation under real outdoor conditions

Malik

Chandel

2020

Int J Energy Res

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The output power prediction by a photovoltaic (PV) system is an important research area for which different techniques have been used. Solar cell modeling is one of the most used methods for power prediction, the accuracy of which strongly depends on the selection of cell parameters. In this study, a new integrated single-diode solar cell model based on three, four, and five solar cell parameters is developed for the prediction of PV power generation. The experimental validation of the predicted results is done under outdoor climatic conditions for an Indian location. The predicted power by three models is found close to measured values within 4.29% to 4.76% accuracy range. The comparative power estimation analysis by these models shows that the three-parameter model gives higher accuracy for low solar irradiance values <150 W/m 2 , the four-parameter model in the range of 150 to 500 W/m 2 , and the five-parameter model for >500 W/m 2. The present model is also compared with other models in literature and is found to be more accurate with less percentage error. The overall results also show that the power produced depends on temperature and solar radiation levels at a particular location. Thus, single solar cell model developed can be used with sufficient accuracy for power forecast of PV systems for any location worldwide. The follow-up research areas are also identified.

show abstract

“…The second issue described above, i.e., the calculation of the output current as a function of the output voltage once the parameters of the equation have been extracted, can only be solved by numerical approaches [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] (which include iterative solutions [47][48][49]), or by using of the Lambert W-function [50][51][52][53][54][55] (whose exact calculation requires a numerical approach).…”

mentioning

confidence: 99%

Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior

et al. 2021

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In this paper, we propose very simple analytical methodologies for modeling the behavior of photovoltaic (solar cells/panels) using a one-diode/two-resistor (1-D/2-R) equivalent circuit. A value of a = 1 for the ideality factor is shown to be very reasonable for the different photovoltaic technologies studied here. The solutions to the analytical equations of this model are simplified using easy mathematical expressions defined for the Lambert W-function. The definition of these mathematical expressions was based on a large dataset related to solar cells and panels obtained from the available academic literature. These simplified approaches were successfully used to extract the parameters from explicit methods for analyzing the behavior of solar cells/panels, where the exact solutions depend on the Lambert W-function. Finally, a case study was carried out that consisted of fitting the aforementioned models to the behavior (that is, the I-V curve) of two solar panels from the UPMSat-1 satellite. The results show a fairly high level of accuracy for the proposed methodologies.

show abstract

A method for hybrid extraction of single-diode model parameters of photovoltaics

Cited by 40 publications

References 29 publications

On the modelling, analysis, and design of a suboptimal controller for a class of wind/PV/battery based DC microgrid

On the modelling, analysis, and design of a suboptimal controller for a class of wind/PV/battery based DC microgrid

A new integrated single‐diode solar cell model for photovoltaic power prediction with experimental validation under real outdoor conditions

Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior

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