A novel hybrid analytical/iterative method to extract the single-diode model's parameters using Lambert's W-function

Choulli, Imade; Elyaqouti, Mustapha; Hmamou, D. Ben; Arjdal, El Hanafi; Saadaoui, Driss; Lidaighbi, Souad; Elhammoudy, Abdelfattah; Обухов, С. Г.; Ibrahim, Аhmed

doi:10.1016/j.ecmx.2023.100362

Cited by 6 publications

(10 citation statements)

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“…The electrical equivalent circuit of the SD model is illustrated in Figure 1 (a). The law of Kirchhoff is the origin of the specific equation for the SD model's five parameters [11,20]. The current of the cell is expressed as the following:…”

Section: Proposed Approachmentioning

confidence: 99%

“…( 1) can be replaced in the following way: As previously mentioned, we apply iterative methods for determining Rs and n. As proposed in [19] the diode ideality factor is iteratively evaluated according to the following equation: 𝑛 = 𝑛 0 + 0.01𝑉 𝑡 (6) where 𝑛 0 = 1. The series resistance Rs is determined through an iterative process as follows [20]:…”

Section: Proposed Approachmentioning

confidence: 99%

“…In [20], a novel hybrid analytical/iterative approach is introduced for extracting the parameters of the SD model using Lambert's W-function. This method requires explicit equations for each parameter.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced Method for Estimating Unknown Parameters in Single Diode Model for Solar Photovoltaic Cells

Amaidi,

Zaaraoui,

Mansouri

2024

Mal. J. Fund. Appl. Sci.

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Three models of equivalent circuit are frequently applied for modelling solar cells/modules: single, double and three diode models. Among these, the single diode (SD) model is currently the most widely applied for solar cell modelling. This model is characterized by five parameters, which can be estimated using various methods. In the present work, the unknown parameters of this model are determined using an improved hybrid method. Our research introduces an innovative approach for this purpose. Our method formulates and resolves the equations defining these critical parameters. Particularly, our main objective revolves around estimating the diode's saturation current (I0), series resistance, photocurrent (Iph) and parallel resistance (Rsh), ideality factor ( through these equations. We confirmed our method reliability by thoroughly simulating the I-V curves of six PV cells, showing the credibility and the precision of our approach. This research significantly advances solar cell modelling by offering an improved technique for estimating crucial parameters within the SD model, enhancing the accuracy and reliability of solar cell performance predictions.

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Section: Proposed Approachmentioning

confidence: 99%

Section: Proposed Approachmentioning

confidence: 99%

See 1 more Smart Citation

Enhanced Method for Estimating Unknown Parameters in Single Diode Model for Solar Photovoltaic Cells

Amaidi,

Zaaraoui,

Mansouri

2024

Mal. J. Fund. Appl. Sci.

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show abstract

“…Next, these elite individuals undergo crossover and selection operations to generate offspring with better fitness values. Finally, the current population is updated accordingly using Equations ( 14) and (15). The detailed pseudo-code of the proposed orientation guidance mechanism is presented in Algorithm 1.…”

Section: Orientation Guidance Mechanismmentioning

confidence: 99%

“…Accordingly, it is not efficient in solving the parameter identification of PV models with multi-modal and non-linear features [14]. The second method, i.e., the iterative-based method, mainly comprises the Lambert W functions [15] and Newton-Raphson [16] methods, which are easily trapped in local optima of multi-modal functions due to excessive reliance on initial values and the gradient information of the problem [17]. Fortunately, MHAs have surmounted these limitations since this algorithm remains unaffected by initial conditions and does not depend on the problem features [18,19].…”

Section: Introductionmentioning

confidence: 99%

An Improved Differential Evolution for Parameter Identification of Photovoltaic Models

Yuan,

Ji,

Chen

et al. 2023

Sustainability

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Photovoltaic (PV) systems are crucial for converting solar energy into electricity. Optimization, control, and simulation for PV systems are important for effectively harnessing solar energy. The exactitude of associated model parameters is an important influencing factor in the performance of PV systems. However, PV model parameter extraction is challenging due to parameter variability resulting from the change in different environmental conditions and equipment factors. Existing parameter identification approaches usually struggle to calculate precise solutions. For this reason, this paper presents an improved differential evolution algorithm, which integrates a collaboration mechanism of dual mutation strategies and an orientation guidance mechanism, called DODE. This collaboration mechanism adaptively assigns mutation strategies to different individuals at different stages to balance exploration and exploitation capabilities. Moreover, an orientation guidance mechanism is proposed to use the information of the movement direction of the population centroid to guide the evolution of elite individuals, preventing them from being trapped in local optima and guiding the population towards a local search. To assess the effectiveness of DODE, comparison experiments were conducted on six different PV models, i.e., the single, double, and triple diode models, and three other commercial PV modules, against ten other excellent meta-heuristic algorithms. For these models, the proposed DODE outperformed other algorithms, with the separate optimal root mean square error values of 9.86021877891317 × 10−4, 9.82484851784979 × 10−4, 9.82484851784993 × 10−4, 2.42507486809489 × 10−3, 1.72981370994064 × 10−3, and 1.66006031250846 × 10−2. Additionally, results obtained from statistical analysis confirm the remarkable competitive superiorities of DODE on convergence rate, stability, and reliability compared with other methods for PV model parameter identification.

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Dandelion Optimizer algorithm-based method for accurate photovoltaic model parameter identification

Elhammoudy,

Elyaqouti,

Arjdal

et al. 2023

Energy Conversion and Management: X

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A novel hybrid analytical/iterative method to extract the single-diode model's parameters using Lambert's W-function

Cited by 6 publications

References 50 publications

Enhanced Method for Estimating Unknown Parameters in Single Diode Model for Solar Photovoltaic Cells

Enhanced Method for Estimating Unknown Parameters in Single Diode Model for Solar Photovoltaic Cells

An Improved Differential Evolution for Parameter Identification of Photovoltaic Models

Dandelion Optimizer algorithm-based method for accurate photovoltaic model parameter identification

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