A new explicit I–V model of a solar cell based on Taylor’s series expansion

The irradiance and temperature dependent mathematical model for estimation of photovoltaic panel performances

“…The series resistance R s changes linear with temperature and logarithmically with irradiance, R sh changes reciprocal with radiance and is calculated according to proposed iterative procedure in [9]. Constant R s , R sh reciprocal dependent on irradiance, n linear dependent on temperature and I 0 changes with temperature are used in [10]. The same equivalent circuit parameter dependencies on temperature and irradiance are proposed in [11], too.…”

A new explicit I–V model of a silicon solar cell based on Chebyshev Polynomials

“…The explicit approximation methods usually use elementary functions, such as Taylor's series expansion (Lun et al, 2013a;Fjeldly et al, 1991), Padé approximants (Lun et al, 2013b), to obtain an explicit analytical expression of I-V equation. In Lun et al (2013a), Taylor's series expansion, a fixed cubic polynomial, is used to express the exponential function of I-V characteristic for any type of solar cells. When the index value of the exponential function becomes large, the explicit modeling method (MTM) in Lun et al (2013a) cannot provide good approximation accuracy, especially for the PV modules with large short circuit current.…”

“…In Lun et al (2013a), Taylor's series expansion, a fixed cubic polynomial, is used to express the exponential function of I-V characteristic for any type of solar cells. When the index value of the exponential function becomes large, the explicit modeling method (MTM) in Lun et al (2013a) cannot provide good approximation accuracy, especially for the PV modules with large short circuit current. Padé approximants used in Lun et al (2013b) is a rational function.…”

Prediction of current and the maximum power of solar cell via voltage generated by light and irradiance using analytically invertible function

“…To meet the accuracy of commercially available software for PV module or system simulation, a model in form of invertible function without approximation (Lun et al, 2013) is derived step by step in this paper so that the measured I-V data at all operating conditions can be fitted by it and known as accurate. Because the number of parameters in the model decreases, the conventional extraction methods obtain their higher ability to provide accurate values.…”