JensenFactor | R Documentation |
x
, computes the penalty factor for a turbine's wake.In Jensen's wake model, a wake cone is generated by a turbine based on the turbine's hub height z, its rotor radius r_0, the terrain's roughness length z_0 and the distance x between the turbine under investigation and a certain second point. z, r_0 and z_0 are taken from the FarmVars
settings object, while x is to be provided.
JensenFactor(x)
x |
must be a single value. Provide distance in meters. |
If a second turbine (B) is in a first turbine (A)'s wake, turbine B's power output must be penalized due to turbulence. This function computes the penalty factor for that wake.
JensenFactor
returns the a single number between 0 and 1, which can immediately be used a a penalty factor.
Note that for Jensen's multiple wake model, wake penalties from several potentially influencing upwind turbines must be computed. As the factors are between 0 and 1, they can conveniently multiplied by each other afterward. If there are four turbines (A, B, C, D) inside a wind farm, you are investigating turbine D and it turns out that D is in the wake of B and C, but not A, then compute penalty for B (assume 0.7) and C (assume 0.8). Now, the penalty factors for A, B and C are 1, 0.7 and 0.8, so 1 * 0.7 * 0.8 = 0.56 is the penalty for turbine D.
Carsten Croonenbroeck
Jensen, N. O. (1983). A note on wind generator interaction. Roskilde: Risø National Laboratory. Risø-M, No. 2411
Use JensenAngle
to compute the wake cone and with it, use JensenTrapezoid
to see if another turbine B is in turbine A's wake. Apply JensenFactor
only if this is the case.
JensenFactor(500) ## Provided that turbine B is in turbine A's wake and that the two turbines are 500 meters apart, ## turbine B must be penalized by a factor of 0.7952.
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