A technique for mismatched PV array simulation

Orozco-Gutierrez, Martha Lucia; Scarpetta, José Miguel Ramírez; Spagnuolo, G.; Ramos‐Paja, Carlos Andrés

doi:10.1016/j.renene.2013.01.009

Cited by 58 publications

(68 citation statements)

References 16 publications

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“…In [16]- [17] the Lambert W function is used to describe the PV module and form a system of equations for the PV array, numerically solvable by Newton's method. An improvement is reported in [18], where the inverse Jacobian matrix is explicitly determined. These methods do not overcome the computational burden of an iterative solution procedure.…”

Section: Explicit Model For Pv Stringsmentioning

confidence: 99%

“…In [13], a simple experimental model is proposed for shading effects, presenting moderate accuracy. In previously published work, the Lambert W function has been utilized to model a single PV cell [14]- [15] or to describe a PV module and form a system of equations for the entire array [16]- [18]. In [19] a single equation is introduced for the PV string, which is iteratively solved to obtain the current for a given voltage.…”

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confidence: 99%

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An Explicit PV String Model Based on the Lambert $W$ Function and Simplified MPP Expressions for Operation Under Partial Shading

Batzelis

Routsolias

Papathanassiou

2014

IEEE Trans. Sustain. Energy

150

102

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Section: Explicit Model For Pv Stringsmentioning

confidence: 99%

mentioning

confidence: 99%

An Explicit PV String Model Based on the Lambert $W$ Function and Simplified MPP Expressions for Operation Under Partial Shading

Batzelis

Routsolias

Papathanassiou

2014

IEEE Trans. Sustain. Energy

150

102

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“…The former expression requires iterative/numerical solution, whereas the latter can be directly evaluated by means of the Lambert W function W{x} [7]- [9], [26], [27], [31], [ The I-V curve of a typical PV module is depicted in Fig. 3, indicating the three key operating points: SC, OC and MPP.…”

Section: A Equivalent Circuitmentioning

confidence: 99%

“…In the following, it is shown that these equations can be symbolically combined to derive simple SC, OC and MPP expressions that are functions directly of the operating conditions G and T (ΔT=T-T0, λΤ=Τ/Τ0). The required input data are only the datasheet electrical characteristics: Isc0, Voc0, Imp0, Vmp0, αIsc and βVoc: (25) where δ0 is the irradiance factor of the OC voltage calculated via (9), ε0, ε1 are the irradiance factors of the MPP voltage: …”

Section: Proposed Pv Performance Equationsmentioning

confidence: 99%

Simple PV Performance Equations Theoretically Well Founded on the Single-Diode Model

Batzelis

2017

IEEE J. Photovoltaics

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-There are several photovoltaic (PV) performance models in the literature, but most of them either employ complex and tedious calculations or require additional measurements apart from datasheet information. In this paper, a new set of performance equations to evaluate the short circuit (SC) current, open circuit (OC) voltage and maximum power point (MPP) at any operating conditions is introduced. The proposed expressions are simple functions of the irradiance and temperature, while they are generally applicable to any crystalline PV module and require only datasheet information as input data. This is achieved by introducing new formulas to determine the irradiance and temperature coefficients that are not provided in the datasheet, thus avoiding empirical constants or additional measurements. The novelty of the performance equations is their solid theoretical background, as they are in excellent agreement with the singlediode PV model, combined with simple and easy application. The proposed PV model is validated and compared to other methods found in the literature through simulations in MATLAB and outdoor measurements on commercial PV modules. Index TermsIrradiance coefficients of Vmp (dimensionless). . The former approach adopts an electrical equivalent circuit and permits derivation of the entire I-V characteristic. It provides complete information on the system's operation, but generally requires several implementation steps such as: extraction of the model parameters, translation to actual operating conditions, derivation of the characteristic curve etc. On the other hand, the methods that adopt semi-empirical expressions are straightforward and more easy-to-use, evaluating simple explicit equations in a single step. However, they provide specific only information, such as the short circuit (SC) current, the open circuit (OC) voltage and the maximum power point (MPP), rather than the entire characteristic. The latter methods are the focus of this paper.There [12] provide all essential information required for a PV energy yield study: the SC current, the OC voltage and the MPP voltage and current, denoted hereafter as the three key operating points. If these are known for a particular PV system, then all other energy yield parameters are readily derived, such as the maximum power or fill factor (FF).However, the simplicity of the aforementioned models comes at the cost of reduced accuracy, as they either rely on empirical observations or consider questionable assumptions. Specifically, the equations proposed in [11]

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“…There are several papers dealing with the solution of (8) (Petrone, Spagnuolo, & Vitelli, 2007;Orozco-Gutierrez, Ramirez-Scarpetta, Spagnuolo, & Ramos-Paja, 2013;Bastidas, Franco, Petrone, Ramos-Paja, & Spagnuolo, 2013), with two main approaches: solving (8) using the exact system Jacobian (Petrone, Spagnuolo, & Vitelli, 2007;Orozco-Gutierrez, Ramirez-Scarpetta, Spagnuolo, & Ramos-Paja, 2013), or simplifying the Jacobian (e.g. the bypass diode equation) to speed-up the calculation (Bastidas, Franco, Petrone, Ramos-Paja, & Spagnuolo, 2013).…”

Section: Classical Procedures To Calculate the String Powermentioning

confidence: 99%

Fast calculation of the maximum power point of photovoltaic generators under partial shading

2016

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This paper presents a method to calculate the energy production of photovoltaic generators considering partial shading or mismatched conditions. The proposed method is based on the complete one-diode model including the bypass diode in its exponential form, where the current and voltage values of the modules composing the photovoltaic panel array are calculated without using the Lambert-W function. In addition, the method introduces a procedure to calculate the vicinity of the maximum power points, which enables the reduction of the operations required to obtain the global maximum. The proposed method provides short simulation times and high accuracy. On the other hand, since the method does not require complex mathematical functions, it can be implemented straightforwardly on known software packages and development languages such as C and C++. Those characteristics make this method a useful tool to evaluate the economic viability and return-of-investment time of photovoltaic installations. Simulation results and comparisons with a classical procedure confirm the good performance of the proposed method in terms of execution time and accuracy.Keywords: PV system, energy production, fast calculation, mismatching conditions, simulation time. RESUMENEste artículo presenta un método para calcular la producción energética en sistemas fotovoltaicos considerando sombreado parcial o condiciones no regulares. El método propuesto está basado en el modelo de un diodo completo incluyendo el diodo de bypass en su forma exponencial, donde la corriente y voltaje de los módulos son calculados sin utilizar la función Lambert-W. Adicionalmente, el método introduce un procedimiento para calcular la vecindad de los puntos máximos de potencia, lo cual permite una reducción en el número de operaciones requeridas para obtener el máximo global. El método propuesto proporciona tiempos de simulación cortos y alta precisión. Por otro lado, ya que el método no requiere funciones matemáticas complejas, puede ser implementado en conocidos paquetes computacionales y lenguajes de desarrollo como C y C++. Dichas características hacen de este método una herramienta útil para evaluar la viabilidad económica y el tiempo de retorno de inversión en instalaciones fotovoltaicas. Resultados de simulación y comparaciones con un procedimiento clásico confirman el buen desempeño del método propuesto en términos de tiempo de ejecución y precisión.Palabras clave: Sistema PV, producción energética, cálculo rápido, condiciones no regulares, tiempo de simulación.

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A technique for mismatched PV array simulation

Cited by 58 publications

References 16 publications

An Explicit PV String Model Based on the Lambert $W$ Function and Simplified MPP Expressions for Operation Under Partial Shading

An Explicit PV String Model Based on the Lambert $W$ Function and Simplified MPP Expressions for Operation Under Partial Shading

Simple PV Performance Equations Theoretically Well Founded on the Single-Diode Model

Fast calculation of the maximum power point of photovoltaic generators under partial shading

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