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Improved Circuit Model of Photovoltaic Array - courses.cit.cornell.edu

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P (W)<br />

60<br />

40<br />

20<br />

1) I = 3.1 A 2) I = 2.6 A 3) I = 2 A<br />

0<br />

0 5 10 15 20 25<br />

V (v)<br />

Fig. 9 P-V family curves with proposed model for different<br />

irradiation levels<br />

B. Classical PV <strong>Model</strong><br />

In addition to the proposed PV model, classical PV model<br />

is also carried out for comparison. Simulation results <strong>of</strong> PV<br />

using classical circuit model are presented in Fig. 10 and Fig.<br />

11.<br />

4<br />

I (A)<br />

3<br />

2<br />

1<br />

International Journal <strong>of</strong> Electrical Power and Energy Systems Engineering 2:3 2009<br />

0<br />

0 5 10 15 20 25<br />

V (v)<br />

Fig. 10 I-V curve with classical model<br />

60<br />

50<br />

40<br />

P (W) 30<br />

20<br />

10<br />

0<br />

0 5 10 15 20 25<br />

V (v)<br />

Fig. 11 P-V curve with classical model<br />

According to the obtained results, the proposed model <strong>of</strong>fer<br />

better waveforms for I-V and P-V curves. While classical PV<br />

model produces abrupt change in the slope <strong>of</strong> P-V curve and<br />

I-V curve observed in Fig. 10 and Fig. 11.<br />

C. Mismatched PV Panels<br />

The proposed PV model is also used to simulate<br />

mismatched PV panels when exposed to different solar<br />

irradiance. In this section two mismatched PV panels<br />

connected in series are simulated. The irradiation levels are<br />

adjusted such that the light generated currents are 3 A and 1<br />

A.<br />

2<br />

1<br />

3<br />

188<br />

The corresponding P-V curve is shown in Fig. 12. It is clear<br />

that the curve exhibits two maxima at two different voltage<br />

levels which is similar to what happens in real operation.<br />

P (W)<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 5 10 15 20 25 30 35 40<br />

V (v)<br />

Fig. 12 P-V curve <strong>of</strong> simulated mismatched PV Panels<br />

V. CONCLUSION<br />

This paper presents simplified piecewise linear model for<br />

PV solar panels suitable for power electronics simulation<br />

studies. The proposed circuit model accounts also for the<br />

behaviour <strong>of</strong> mismatched PV panels. The obtained results<br />

prove the validity <strong>of</strong> the proposed model to simulate the PV<br />

with considerable accuracy under different operating<br />

conditions.<br />

REFERENCES<br />

[1] E. V. Solodovnik, S. Liu, and R. A. Dougal, "Power Controller Design<br />

for Maximum Power Tracking in Solar Installations," IEEE Trans.<br />

Power Electron., vol. 19, pp. 1295-1304, Sept. 2004.<br />

[2] Y.T. Tan; et. al.; “A <strong>Model</strong> <strong>of</strong> PV Generation Suitable for stability<br />

analysis ”, IEEE Trans. On energy Conv., Vol. 19, No. 4, 2004.<br />

[3] J. A. Jiang; et. al , “Maximum power tracking for photovoltaic power<br />

systems”, Tamkang Journal <strong>of</strong> Science and Engineering, Vol. 8, No. 2,<br />

pp. 147-153, 2005.<br />

[4] Ryan Campbell , “A circuit-based photovoltaic array model for power<br />

system studies”, Proceedings <strong>of</strong> the 39th North American Power<br />

Symposium (NAPS 2007), Las Cruces, NM, USA, October 2007.<br />

[5] E. Koutroulis; et. al, “Development <strong>of</strong> a Microcontroller-based<br />

photovoltaic maximum power tracking control system”, IEEE Trans. On<br />

power Electronics, Vol. 16, No. 1, pp. 46-54, 2001.<br />

[6] T.Y. Kim, et. al., "A novel maximum power point tracking control for<br />

photovoltaic power system under rapidly changing solar radiation," in<br />

IEEE International Symp. on Ind. Electron., pp. 1011-1014, 2001.

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