Analysis of Partially Shaded PV Modules Using Piecewise Linear Parallel Branches Model

This paper presents an equivalent circuit model based on piecewise linear parallel branches (PLPB) to study solar cell modules which are partially shaded. The PLPB model can easily be used in circuit simulation software such as the ElectroMagnetic Transients Program (EMTP). This PLPB model allows the user to simulate several different configurations of solar cells, the influence of partial shadowing on a single or multiple cells, the influence of the number of solar cells protected by a bypass diode and the effect of the cell connection configuration on partial shadowing.

• Yaw-Juen Wang
• Po-Chun Hsu

• Cell Connection Configurations
• EMTP
• Equivalent Circuit
• Partial Shading
• Photovoltaic Module

[1] J. W. Bishop, "Computer Simulation of The Effects of Electrical Mismatches
in Photovoltaic Cell Interconnection Circuit," Solar Cells, 25,
1988, pp. 73-89.
[2] V. Quaschning and R. Hanitsch, "Numerical simulation of photovoltaic
generators with shaded cells," 30th Universities Power Engineering Conference,
5-7 Sept 1995,pp. 583-586.
[3] J. A. Gow and C. D. Manning, "Development of a photovoltaic array
model for use in power-electronics simulation studies," IEE Proceedings-
Electric Power Applications, Vol. 146, No.2, March 1999, pp.
193-200.
[4] L. Castaner and S. Silvestre, Modelling Photovoltaic Systems Using
Pspice, New York, John Wiley & Sons, 2003.
[5] M. Veerachary, " PSIM circuit-oriented simulator model for the nonlinear
photovoltaic sources," IEEE Trans. Aerospace and Electronic Systems,
Vol. 42, No. 2, pp.735-740, April 2006.
[6] Y. J. Wang and L. Pierrat, "Measurement of photovoltaic cell parameters
for EMTP simulation," in Proc. 3rd European PV-Hybrid and Mini-grid
Conference, Aix-en-Provence, France, 2006, pp. 194-199.
[7] Tomas Markvart, Solar Electricity, 2nd ed., New York, John Wiley &
Sons, 2000.
[8] M. C. Alonso-Garcia, J. M. Ruiz and W. Herrmann, "Computer simulation
of shading effects in photovoltaic arrays," Renewable Energy, Vol.
31, No. 12, pp. 1986-1993, 2006.
[9] M. C. Alonso-Garcia, J..M. Ruiz and F. Chenlo, "Experimental study of
mismatch and shading effects in the I-V characteristic of a photovoltaic
module," Solar Energy Materials & Solar Cells, Vol. 90, pp. 329-340,
2006.