This research tests the standard one-diode model of a crystalline-Si photovoltaic cell, focusing on the physical accuracy. In particular, the (apparent) shunt resistance and the diode ideality factor are studied. Current-voltage characteristics of illuminated crystalline-Si photovoltaic modules are analyzed, and some limits of applicability of the standard model are given. Typical values of the ideality factor for crystalline-Si devices are derived from own experimental data as well as from recently published literature. It is shown that the contribution of the apparent shunt resistance is only significant for cell voltages below about 0.45 V, and depends on irradiance. This result is consistent with earlier research. Some reference books on Photovoltaics give a wrong shape of the electrical characteristic based on a non-physical interpretation of the shunt resistance. This paper may be particularly useful for power electronics engineers designing inverters and maximum-power-point tracking algorithms.
IndexTerms--P-n junctions, Photovoltaic cells, Semiconductor device modeling, Shunt resistance
I. MOTIVATIONOWER electronics engineers designing inverters and maximum-power-point tracking (MPPT) algorithms for solar photovoltaic (PV) systems include in the design process extensive computer-aided simulations. Models of the photovoltaic sub-system and of the balance-of-system components (the power converter plus the MPP tracker) are implemented and studied using software tools like e.g. PSpice. Lumped-circuit models of PV devices have been established in the past half a century, and their applications abound in the literature. These models are quite simple in the case of crystalline-Si devices which still dominate the PV market. An individual solar cell can be represented by a current source, a diode, and two resistances. The model of a crystalline-Si PV module is similar, but has multiple diodes in series (or a single diode with an upscaled ideality factor), plus a few by-pass diodes. However, the parameterization of the above models is not straight-forward, if a correct representation of the physical reality is aimed at. Indeed, the current-voltage characteristic (I-V curve) of a non-shaded PV device may look very simple; ). however, the corresponding mathematical formulations (there are many) can describe a whole wealth of I-V curve types. The lack of sufficient physical understanding of the model parameters may lead to wrong assumptions (as there are always aspirations for simplification) that may affect the design of the balance-of-system components, such as MPP trackers, in a negative way. Irradiance-dependent (apparent) shunt resistance, series-resistance effects, and cell ideality factors greater then 1 deserve special attention. Descriptions of subtleties related to these parameters, typical values, and some basic properties common to all I-V curves are missed in (otherwise extensive) handbooks on PV science and engineering [1], [2].The purpose of this paper is to provide a factual scientific basis for unders...