Modeling for output characteristics of the partially occluded photovoltaic array based on image singular value decomposition

doi:10.3969/j.issn.2097-0706.2023.02.007

Abstract

Abstract:

In order to accurately evaluate the power generation performance of a photovoltaic（PV） array under complex partial shading conditions， a modeling method for PV array output characteristics based on image singular value decomposition is proposed. The occlusion type and contour features of the model can be accurately extracted by whale optimization-random singular value decomposition. The locating of occlusion areas can be accurate to a single PV cell. Then the proportion of the occlusion area on each cell is obtained to construct the occlusion state matrix. Based on the single diode model， the partial occlusion model of the PV array is established according to the occlusion state matrix. The modeling realizes the fast and accurate calculation of current-voltage（I-V） characteristics， and supports the generation performance evaluation of PV power plants according to on-site monitoring photos or videos.

Key words: PV generation, PV array, partial occlusion, whale optimization, random singular value decomposition, image processing, output characteristic, on-site supervision

CLC Number:

TK51：TM615

DING Kun, LIU Zengquan, ZHANG Jingwei, YANG Zenan, LI Zheyu. Modeling for output characteristics of the partially occluded photovoltaic array based on image singular value decomposition[J]. Integrated Intelligent Energy, 2023, 45(2): 53-60.

Figures/Tables 13

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Table 1

RIoU of different types of occlusion

遮挡类型	本文算法		文献[12]算法
遮挡类型	附着物 $R I o U$	阴影 $R I o U$	附着物 $R I o U$	阴影 $R I o U$
鸟屎遮挡	0.883	1.000	0.777	1.000
树叶遮挡	0.894	1.000	0.635	0.000
阴影遮挡	1.000	0.978	1.000	0.323
树叶和阴影遮挡	0.913	0.975	0.912	0.533
纸张和阴影遮挡	0.976	0.945	0.975	0.957

Table 1

Table 2

Table 3

Fig.7

Table 4

Fig.8

Table 5

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遮挡类型	本文算法耗时	文献[12]算法耗时
鸟屎遮挡	1.319	9.546
树叶遮挡	1.305	9.622
阴影遮挡	1.310	9.330
树叶和阴影遮挡	1.306	9.570
纸张和阴影遮挡	1.330	9.244

参数	数值
最大功率/W	240
最大功率点电流/A	8.1
最大功率点电压/V	29.7
短路电流/A	8.62
开路电压/V	37.3
电流温度系数/(%·℃^-1)	0.047
电压温度系数/(%·℃^-1)	-0.320

遮挡类型	温度/℃	辐照度/（W·m^-2）	开路电压误差/%	短路电流误差/%	最大功率误差/%
树叶遮挡1	48.4	537	0.223 7	2.570 0	1.122 5
树叶遮挡2	49.7	568	0.217 0	2.815 7	1.142 8
树叶遮挡3	49.7	369	0.615 0	2.963 6	2.512 6
阴影遮挡1	49.9	831	0.179 7	1.110 2	3.674 2
阴影遮挡2	49.3	833	0.189 6	0.630 2	8.490 1
阴影遮挡3	46.8	825	0.449 6	2.818 6	5.439 0
纸张遮挡1	56.4	796	0.814 6	2.300 9	1.799 3
纸张遮挡2	51.3	664	1.820 0	2.923 6	3.080 3
纸张遮挡3	59.7	768	0.907 9	2.292 7	7.036 6
树叶阴影遮挡	48.5	820	0.573 8	1.932 6	2.667 1
树叶纸张遮挡	60.1	705	1.898 4	2.180 7	5.062 4
阴影纸张遮挡	50.7	832	0.734 6	1.971 2	3.315 0
树叶阴影纸张遮挡	57.5	609	1.043 5	1.749 9	1.778 3

遮挡类型	温度/℃	辐照度/（W·m^-2）	开路电压误差/%	短路电流误差/%	最大功率误差/%
树叶遮挡	55.4	776	0.234 3	0.579 2	1.609 4
阴影遮挡	53.2	575	0.423 4	1.531 3	0.799 8
纸张遮挡	54.7	836	0.331 5	1.030 9	1.094 5
树叶阴影遮挡	63.8	939	1.116 3	4.988 9	5.208 6
树叶纸张遮挡	65.2	838	1.279 1	4.646 7	4.707 5
纸张阴影遮挡	55.5	692	1.876 8	4.785 6	4.292 7
树叶阴影纸张遮挡	51.7	885	0.906 2	3.697 1	3.697 2