The constructal optimization for tree-shaped structures on a disc power plane

Huang, Huaxiong; Guo, Wei; Ye, Mao

doi:10.1109/edaps.2011.6213754

Cited by 1 publication

(4 citation statements)

References 8 publications

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“…In 𝑦-direction a variable height ℎ, given by ℎ = 𝐻 0 (𝑅 − 𝑥)/2𝑅, help us to describe the voltage drop over the vertical surface ℎ𝑤 and defines one of the boundaries of the semi-circular constructal element with no electrical leaks. The constructal method applied to design networks in disc-shaped bodies serves us as an elemental constructal element for a semi-circular sector of radius 𝑅, where generally considers electrically insulated surfaces at 𝑦 = 𝐻 0 /2 Huang, Guo & Ye, 2011;Huang,Guo & Chu, 2011). The variation of the area ℎ(𝑥)𝑤 is considered in the electrical current balance at the metallic contact and is appreciated in the charge conservation equation in the 𝑥-direction, Eq.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The boundary conditions, given by Eq. ( 2) describe the variable height 𝑦 = ℎ(𝑥), where the variation of the voltage is strictly zero, this is, with no electrical leaks (Bhakta & Bandyopadhyay, 2005;Chen et al, 2010;Huang, Guo & Ye, 2011;Huang, Guo, & Chu, 2011;Morega & Bejan, 2005;Ojeda et al, 2020). For 𝑦 = 0, the photogenerated electrical current is collected by the metallic contact at the center of the constructal element in the 𝑥-direction, by the voltage 𝑉 0 (𝑥).…”

Section: Mathematical Modelmentioning

confidence: 99%

“…From Eq. ( 7), we can define the equivalent dimensionless electric resistance of the geometrical arrangement of top metallic contacts, applying the constructal design method Huang, Guo & Ye, 2011 ;Huang, Guo & Chu, 2011;Morega & Bejan, 2005;Ojeda et al, 2020). This electrical resistance is defined by evaluating the voltage drop of the constructal element at the point where the voltage drop in vertical and horizontal directions is maximum.…”

Section: First Construction Levelmentioning

confidence: 99%

“…Also, for the electrical case, a tree-shaped network on a disc-shaped circuit board is defined under the assumption of a fixed area. The metallic contact network connects the center to multiple points to the periphery, increasing the compaction for printed circuit boards for power distribution, geometry factors as the ratio of the widths is considered as a design parameter that defines the optimal length and aspect ratios for the circular sectors (Huang, Guo & Ye, 2011).…”

Section: Introductionmentioning

confidence: 99%

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Constructal design of top metallic contacts on a disc-shaped solar cell

Ojeda

Messina

Vázquez

et al. 2021

JART

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Trends in crystalline silicon photovoltaic improvements demonstrate that some of the key factors that have contributed to reaching efficiency values up to 23 % are the introduction of the passivated emitter and rear cell structure with local rear contacts in low-cost large-volume fabrication; the reduction of the width of the front metallization fingers, from about 100 microm to less than 30 micro m in large volume production, and the re-emergence of mono-crystalline silicon wafers as a consequence of cost reduction in the Czochralski silicon ingot fabrication process. In the present work, we have developed a theoretical model that defines the geometric arrangement of a branched top metallic contacts network over a solar cell with a disc-shaped body. The solar cell considers two main regions: the solar cell material and an insert of metallic material for the collection of the photogenerated electrical current. The geometric characteristics of the network are defined from the minimization of the resistive power losses applying the constructal design method. As a fundamental result, the optimal lengths, branching angles, and geometrical relationships of the n-branched network are determined. The numerical results show that the dimensionless power losses of the branched arrangement of contacts present minimum values for the allocation of the metallic material and the disc size of the solar cell.

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Section: Mathematical Modelmentioning

confidence: 99%