A mathematical model for collisions between birds and propeller-type t
urbine rotors identifies the variables that can be manipulated to redu
ce the probability that birds will collide with the rotor. This study
defines a safety index-the ''clearance power density ''-that allows ro
tors of different sizes and designs to be compared in terms of the amo
unt of wind energy converted to electrical energy per bird collision.
The collision model accounts for variations in wind speed during the y
ear and shows that for model rotors with simple, one-dimensional blade
s, the safety index increases in proportion to rotor diameter, and var
iable speed rotors have higher safety indexes than constant speed roto
rs. The safety index can also be increased by enlarging the region nea
r the center of the rotor hub where the blades move slowly enough for
birds to avoid them. Painting the blades to make them more visible mig
ht have this effect. Model rotors with practical designs can have safe
ty indexes an order of magnitude higher that those for model rotors ty
pical of the constant speed rotors in common use today. This finding s
uggests that redesigned rotors could have collision rates with birds p
erhaps an order of magnitude lower than today's rotors, with no reduct
ion in the production of wind power. The empirical data that exist for
collisions between raptors, such as hawks and eagles, and rotors are
consistent with the model: the numbers of raptor carcasses found benea
th large variable speed rotors, relative to the numbers found under sm
all constant speed rotors, are in the proportions predicted by the col
lision model rather than in proportion to the areas swept by the rotor
blades. However, uncontrolled variables associated with these data pr
event a stronger claim of support for the model.