Basic Science Department, Benha Faculty of Engineering, Benha University, Benha, Egypt.
Department of Mathematics, Institute of Basic and Applied Sciences, Egypt-Japan University of Science and Technology (E-JUST), New Borg El-Arab City, Alexandria, Egypt.
Environ Sci Pollut Res Int. 2023 Oct;30(48):105840-105855. doi: 10.1007/s11356-023-29654-8. Epub 2023 Sep 18.
A new fractional non-Fourier (Cattaneo) photovoltaic (PV) model is presented to enhance the thermal performance of a PV system combined with a heat spreader (HS). The fractional Cattaneo model is shown to be effective in examining transient processes across the entirety of a PV system, in contrast to the conventional Fourier model's inability to predict system performance. Consequently, a comparison is conducted between the classical Fourier model with the fractional Fourier and fractional Cattaneo models for the PV system. The impact of using an aluminum heat spreader, with rectangular and trapezoidal shapes, has been developed under hot and cold climate conditions. The findings show that adding a trapezoidal heat spreader reduced the cell temperature by 20 K in summer and 12 K in winter. The reduction in the PV temperature led to an enhancement in daily average power by approximately 28% and 37% in hot and cold weather, respectively. Moreover, economic, exergoeconomic, and enviroeconomic assessment is introduced. The outcomes revealed that the electrical production costs of the rectangular and trapezoidal HS systems are 0.272 and 0.214 $/kWh, respectively, while about 0.286 $/kWh for the conventional PV panel. Based on the environmental study, the estimated CO reduction for PV, PV with rectangular HS, and PV with trapezoidal spreader is 0.5504, 0.7704, and 0.8012 tons, respectively. Finally, real experimental data are used to validate the fractional Cattaneo model. The results demonstrate that there is a great fitting with the measured data, with errors in PV power and exergy efficiency of just 0.628% and 3.84%, respectively, whereas their corresponding values for the classical model are 5.72 and 13.13%.
提出了一种新的分数非傅里叶（Cattaneo）光伏（PV）模型，以提高结合热扩散器（HS）的 PV 系统的热性能。与传统的傅里叶模型无法预测系统性能相比，分数 Cattaneo 模型被证明在检查整个 PV 系统的瞬态过程方面非常有效。因此，对 PV 系统的经典傅里叶模型与分数傅里叶和分数 Cattaneo 模型进行了比较。在热和冷气候条件下，开发了使用矩形和梯形铝制热扩散器的影响。结果表明，在夏季和冬季，添加梯形热扩散器可将电池温度降低 20 K 和 12 K。PV 温度的降低导致在炎热和寒冷天气下，日平均功率分别提高了约 28%和 37%。此外，引入了经济、火用经济和环境经济评估。结果表明，矩形和梯形 HS 系统的电力生产成本分别为 0.272 和 0.214 美元/千瓦时，而传统 PV 面板约为 0.286 美元/千瓦时。根据环境研究，PV、带矩形 HS 的 PV 和带梯形扩散器的 PV 的估计 CO 减排量分别为 0.5504、0.7704 和 0.8012 吨。最后，使用实际实验数据验证了分数 Cattaneo 模型。结果表明，与测量数据具有很好的拟合度，PV 功率和火用效率的误差分别仅为 0.628%和 3.84%，而经典模型的相应值分别为 5.72%和 13.13%。
