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A visualization of the physical and thermal interactions between solar farms and the atmospheric boundary layer

Brooke Stanislawski

Mechanical Engineering

Wind Energy & Turbulence Lab

CS 6635: Spring 2019

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CS 6635 Final Project Objectives

To develop and showcase visualization techniques of large-eddy simulation (LES) data of atmospheric boundary layer (ABL) flow through simplified solar farms.

To answer research questions about the momentum and thermal impacts of solar farms.

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Background and Motivation

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Research Background and Objectives

To increase efficiency of solar farms by reducing the temperature of solar panels through convective cooling.

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Background: Large-eddy simulations

To solve for momentum: filtered incompressible Navier-Stokes equation

To solve for temperature: advection-diffusion equation

Produce large amounts of 3-D vector-field turbulence and scalar-field temperature data typically exceeding 20 GB

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Background: LES Parameters

Tpv_sfc= 300 K

Tgrnd_sfc= 290 K

Tair= 280 K

1 km

Quantity

Units

Symbol

Value

Domain Size

m

Lx x Ly x Lz

6280 x 6280 x 1000

Number of gridpoints

-

Nx x Ny x Nz

64 x 64 x 64

Grid spacing

m

dx x dy x dz

10 x 10 x 1.5

Total Real Time

hrs

t

3.09

Number of Timesteps

-

nt

500,000

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Background: LES Data

Output variables in binary:

  • Velocity (u, v, w)
  • Temperature (Θ)
  • Level-set function (ɸ)

Calculated variables

  • Heat flux (q)

Post-processing takes place in Matlab: 4-D arrays (nx * ny * nz * nt)

Converted to ParaView compatible format with Matlab function vtkwrite()

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Results and Discussion

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Validation

Do the value ranges of the physical variables appear reasonable everywhere in the domain?

The value ranges of both velocity magnitude and temperature appear reasonable, while heat flux

requires further inspection.

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Validation

Maximum temperatures appear on solar panel surface as expected, while maximum and

minimum heat flux appears nonphysical.

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Momentum Impact

How does the flow respond to the presence of the solar modules?

Tools used:

  • Surface rendering
  • Volume rendering
  • Iso-surfaces
  • Streamlines, tubes, ribbons
  • Glyphs

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Momentum Impact

Visualizations reveal lateral re-circulation developing in between rows, a behavior

that is difficult to capture with 2-D plots.

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Heat and Momentum

Transfer Interactions

How is heat from the solar panels transferred throughout the domain?

Flow carries the heat upward on the sides of the solar panels, similar to the turbulent

behavior of wingtip vortices on an airplane wing.

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Heat and Momentum Transfer Interactions

Critical heat transfer captured as heated air from above the second row soars upward due to turbulence.

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Flow and temperature evolution in time

How does the air temperature respond to the heat source from the solar panels?

Average air temperature increases asymptotically from 280 K to 291.5 K

as a result of heat transfer from the solar panels.

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Hot spots

Where are the hot and cold spots on a solar panel and how do these change with time and turbulence?

The outer edges of the solar panels remain cooler due to the turbulence generated at these edges.

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Conclusions

Significantly improved visualization of complex 3-D simulation results:

  • 3-D affects, lateral vortices
  • Interdependencies of vectors and scalars
  • Evolution over time
  • Model limitations

Findings in support of, and in addition to, the hypotheses of the research project:

  • Solar farm acts as a heat source
  • Increases the average air temperature within the ABL by 11.5 K over ~ 3 hrs
  • Turbulent motions increase heat flux and thus, decrease solar panel temperatures

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References

1] O. Dupre, R. Vaillon, and M. A. Green,Thermal Behavior of Photovoltaic Devices. Springer International Publishing, 2017.

[2] M. Chamecki, C. Meneveau, and M. B. Parlange, “A hybrid spectral/finite-volume algorithm for large-eddy simulation of scalars in the atmospheric boundary layer,”Boundary-Layer Meteorology, vol.128, no. 3, pp. 473–484, 2008.

[3] C. Hansen and C. Johnson,The Visualization Handbook. Elsevier,2005.

[4] U. Ayachit,The ParaView Guide: A Parallel Visualization Application.USA: Kitware, Inc., 2015.

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Thank You

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Validation

Validation reveals insights into model’s performance and limitations.

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Momentum Impact

Where are the highest and lowest velocities?

Highest velocities observed after and aloft of the last row while lowest velocities appear

near the forward edge of the first row.

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Thermal Impact

Where is the maximum heat flux iso-surface and what is the heat flux maximum value?

High heat flux is observed on the edges and on the second row of solar panels,

following the vertical motions.