# The Rapid Establishment of Large Wind Fields via an Inverse Process

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## Abstract

**:**

## 1. Introduction

## 2. Methods

#### 2.1. Trodational POD and Gappy POD

#### 2.2. The New Algorithm

- A series of velocity distribution profiles for a large area is generated by offsite CFD simulations ${\left\{{U}^{\mathit{l}}\right\}}_{l=1}^{m}$.
- A sub-domain ${\left\{{U}^{\mathit{l}}\right\}}_{l=p}^{q}$, i.e., a small area such as a wind farm within the large area, is selected, and a group of snapshots of wind velocities over this subset of the large area is obtained. A group of basis vectors $\mathsf{\Phi}$ of the snapshots ${\left\{{U}^{\mathit{l}}\right\}}_{l=p}^{q}$ is extracted from the subset domain by Equation (2).
- Wind speed is measured at a small number of selected locations as the real time input for the wind field reconstruction in the next step.
- The wind velocity profile for the larger area is reconstructed with a refined mesh via gappy data reconstruction methods, using Equation (3) with the limited amount of real time data from the above step.

## 3. Simulations

#### 3.1. Step One: Velocity Distribution Generation for the Large Area & Step Two: Selecting a Sub-Domain and Extracting POD Basis Vectors

^{−6}. Adaptive unstructured tetrahedral meshes were used that have given a satisfactory performance.

#### 3.2. Step Three: Collecting Measurement Data on a Coarse Mesh

#### 3.3. Step Four: Reconstruction of the Wind Velocity for the Large Area on the Fine Mesh Network

## 4. Experiment

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 2.**(

**a**) Three-dimensional view of discretization of the computational domain. (

**b**) Top view of discretization of the computational domain.

**Figure 5.**(

**a**) Three-dimensional view of the large area with coarse mesh. (

**b**) Top view of the large area with coarse mesh

**Figure 9.**The schematic and physical map of the test platform.

**1.**Mixed air blower;

**2.**contraction;

**3.**models;

**4.**experimental segment;

**5.**diffuser;

**6.**hot-wire anemometers;

**7.**data acquisition and display.

Models | Coordinate(m) | |||
---|---|---|---|---|

Radius | X | Y | Z | |

Half-ellipsoid | 0.3/0.2/0.15 | 0 | 2 | 0 |

Hemispheroid1&2 | 0.15 | ±0.3 | 2.3 | 0 |

Hemispheroid3&4 | 0.15 | ±1 | 4 | 0 |

Hemispheroid5&6 | 0.15 | ±1 | 1 | 0 |

Point | Senor Measurement (m/s) | Reconstructed Data (m/s) | Relative Error (%) |
---|---|---|---|

S1 | 5.840 | 6.103 | 4.311 |

S2 | 6.052 | 6.276 | 3.573 |

S3 | 5.524 | 5.810 | 4.922 |

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**MDPI and ACS Style**

Sun, S.; Liu, S.; Zhang, G.
The Rapid Establishment of Large Wind Fields via an Inverse Process. *Appl. Sci.* **2019**, *9*, 2847.
https://doi.org/10.3390/app9142847

**AMA Style**

Sun S, Liu S, Zhang G.
The Rapid Establishment of Large Wind Fields via an Inverse Process. *Applied Sciences*. 2019; 9(14):2847.
https://doi.org/10.3390/app9142847

**Chicago/Turabian Style**

Sun, Shanxun, Shi Liu, and Guangchao Zhang.
2019. "The Rapid Establishment of Large Wind Fields via an Inverse Process" *Applied Sciences* 9, no. 14: 2847.
https://doi.org/10.3390/app9142847