Yaw Optimisation for Wind Farm Production Maximisation Based on a Dynamic Wake Model
Abstract
:1. Introduction
2. Model Description
2.1. Wind Turbine Power
2.2. Single-Wake Model
2.3. Initial Conditions
2.4. Modifications of Single-Wake Model
2.5. Wake Interaction
3. Model Validation
3.1. Comparison of Static Wake Distributions
3.2. Validation of Dynamic Wake
4. Wind Farm Production Maximisation Based on Dynamic Yawed Wake Calculation
4.1. Wake Propagation
4.2. Wind Farm Production Maximisation Based on Dynamic Wake Model
4.2.1. Problem Statement
4.2.2. Optimisation Results
5. Conclusions
- A simplified dynamic wake model for wind farm prediction is derived according to the momentum conservation theory and backward difference method. The spanwise velocity deficit of the wake is based on super-Gaussian distribution. The wake superposition is conducted by the rotor-based root sum square method.
- The static distribution of the proposed model is validated with the Jensen model and a Gaussian-based static model. The time-varying process of the proposed model agrees well with numerical results from SOWFA.
- The wind farm production maximisation through wake meandering is analysed from the perspective of dynamic wake calculation. Different from the optimisation methods based on a static wake model, the increase in wind farm production is closely related to the optimisation period length, due to the time lag of wake propagation.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A. Derivation of C(x)
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2D | 4D | 6D | 8D | 10D | |
---|---|---|---|---|---|
Gaussian-based model | 1.0719 | 1.0719 | 1.0719 | 1.0719 | 1.0719 |
Jensen model | 1.6639 | 1.6639 | 1.6640 | 1.6641 | 1.6641 |
Dyn-model | 1.6668 | 1.6677 | 1.6681 | 1.6682 | 1.6682 |
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Deng, Z.; Xu, C.; Huo, Z.; Han, X.; Xue, F. Yaw Optimisation for Wind Farm Production Maximisation Based on a Dynamic Wake Model. Energies 2023, 16, 3932. https://doi.org/10.3390/en16093932
Deng Z, Xu C, Huo Z, Han X, Xue F. Yaw Optimisation for Wind Farm Production Maximisation Based on a Dynamic Wake Model. Energies. 2023; 16(9):3932. https://doi.org/10.3390/en16093932
Chicago/Turabian StyleDeng, Zhiwen, Chang Xu, Zhihong Huo, Xingxing Han, and Feifei Xue. 2023. "Yaw Optimisation for Wind Farm Production Maximisation Based on a Dynamic Wake Model" Energies 16, no. 9: 3932. https://doi.org/10.3390/en16093932