Influence of simple terrain on the spatial variability of a low-level jet and wind farm performance in the AWAKEN field campaign

<p>In wind energy research, scientific challenges are often associated with <i>complex terrain</i> sites, where orography, vegetation, and buildings disrupt flow uniformity. However, even sites characterized as <i>simple terrain</i> can exhibit significant spatial variability in wind speed, particularly during stable boundary layers (SBLs) and low-level jets (LLJs). This study investigates these terrain interactions using both simulations and observations from the American WAKe ExperimeNt (AWAKEN). We employ a multiscale Weather Research and Forecasting (WRF) model simulation, integrating mesoscale forcing in the coarse domains and representing three rows of turbines from the King Plains wind farm as generalized actuator disks (GAD) in the large-eddy simulation (LES) domains. During a nocturnal LLJ event on 3 April 2023, the downstream, wake-affected turbine rows outperformed the upstream, unwaked row by 25 <span class="inline-formula">%</span>–51 <span class="inline-formula">%</span>. This counterintuitive result arises from terrain-induced streamwise variations in hub-height wind speed of approximately 4 <span class="inline-formula">m s⁻¹</span> over 5 <span class="inline-formula">km</span> – equivalent to <span class="inline-formula">∼50</span> <span class="inline-formula">%</span> of the upstream reference speed. This enhancement outweighs the wake-induced reduction in mean wind speed (<span class="inline-formula">∼12</span> <span class="inline-formula">%</span>) and global blockage effects reported in the literature (<span class="inline-formula">∼1 %</span>–3.4 <span class="inline-formula">%</span>). The multiscale simulations capture the intra-farm spatial variability in power performance observed in SCADA data. Terrain-induced vertical displacement of the LLJ, coupled with large wind shear below the jet maximum, drives the substantial streamwise acceleration within the wind farm. These findings underscore the importance of accounting for spatial variability related to terrain, even in simple landscapes, particularly during LLJ conditions. Incorporating such effects into reduced-order modeling frameworks for wind farm design and control could significantly enhance their effectiveness.</p>