\(D\) |
Turbine rotor diameter (fixed parameter, \(D=27\) m) |
m |
\(t\) |
Time |
s |
\(t_*\) |
Integral time scale computed from time series at a point |
s |
\(x, y, z\) |
Spatial coordinates, where \(x\) is aligned with the mean wind |
m |
\(n_t,n_x,n_y,n_z\) |
Number points in time and space dimensions |
- |
\(u\) |
Wind vector component along \(x\) |
m/s |
\(v\) |
Wind vector component along \(y\) |
m/s |
\(w\) |
Wind vector component along \(z\) |
m/s |
\(U\) |
Magnitude of horizontal wind speed vector |
m/s |
\(v_{los}\) |
Wind vector component along the line of sight of each lidar beam |
m/s |
\(\beta\) |
Direction of horizontal wind speed vector |
deg |
\(\Delta \beta\) |
Veer computed at fixed \((x,y)\) from two distinct \(z\) points |
deg |
\(TI\) |
Turbulence intensity computed over a 10-min period from horizontal wind speed |
% |
\(\alpha\) |
Power law exponent derived from \(U(z=10~\mathrm{m})\) and \(U(z=58~\mathrm{m})\) |
- |
\(u_*\) |
Friction velocity |
m/s |
\(\theta\) |
Potential temperature |
K |
\(\theta_v\) |
Virtual potential temperature |
K |
\(\overline{w'\theta_v'}\) |
Kinematic vertical turbulent heat flux |
K m/s |
\(L\) |
Obukhov length |
m |
\(z_0\) |
Roughness length |
m |
\(z_i\) |
Atmospheric boundary layer height |
m |
\(\overline{q}\) |
Temporal average of variable \(q\) |
unit of \(q\) |
\(\langle q \rangle\) |
Ensemble average of variable \(q\) |
unit of \(q\) |
\(q'\) |
Temporal perturbation of variable \(q\), defined as \(q-\overline{q}\) |
unit of \(q\) |
\(q_{hub}\) |
Variable \(q\) evaluated at hub height |
unit of \(q\) |
\(\sigma_q\) |
Standard deviation of some quantity \(q\) (over time, space, or an ensemble) |
unit of \(q\) |
\(q_{rotor}\) |
Variable \(q\) evaluated across the rotor in the vertical direction |
unit of \(q\) |
\(q_{wake}\) |
Variable \(q\) evaluated in the wake |
unit of \(q\) |
\(P\) |
Generator power |
W |
\(M_y\) |
Out-of-plane bending moment evaluated at the blade root (==flapwise moment) |
N m |
\(M_x\) |
In-plane bending moment evaluated at the blade root (==edgewise moment) |
N m |