Two-dimensional array of turbines
Arrangements of turbines are described. The turbines are staggered or aligned in the downwind direction.
1. A two-column arrangement of turbines,
each column including clockwise rotating turbines and counter-clockwise rotating turbines,
each column having a crosswind spacing from the other column and defining a first or second column centerline, a same crosswind distance across the column centerline from one side of the column centerline to another side of the column centerline, and a same downwind spacing along the column,
the two-column arrangement comprising:
first column turbines comprising clockwise rotating first column turbines and counterclockwise rotating first column turbines, and
second column turbines comprising clockwise rotating second column turbines and counterclockwise rotating second column turbines,
wherein
all the clockwise rotating first column turbines and all the counterclockwise rotating first column turbines are located on opposite sides of the first column centerline at half crosswind distance from the first column centerline;
all the clockwise rotating second column turbines and all the counterclockwise rotating second column turbines are located on opposite sides of the second column centerline at half crosswind distance from the second column centerline;
the clockwise rotating first column turbines are spaced from each other by the downwind spacing;
the counterclockwise rotating first column turbines are spaced from each other by the downwind spacing;
the clockwise rotating second column turbines are spaced from each other by the downwind spacing;
the counterclockwise rotating second column turbines are spaced from each other by the downwind spacing;
the clockwise rotating first column turbines are downwind staggered with respect to the counterclockwise rotating first column turbines by half crosswind spacing; and
the clockwise rotating second column turbines are downwind staggered with respect to the counterclockwise rotating second column turbines by half crosswind spacing.
2. The two-column arrangement of claim 1 , wherein the turbines are selected from the group comprising wind turbines rotating on a vertical axis, and water turbines rotating on a vertical axis.
3. An array of turbines comprising a plurality of two-column arrangements of turbines according to claim 1 .
4. The array of claim 3 , wherein each two-column arrangement is vertically and/or laterally displaced with respect to the other two-column arrangements of the array.
5. The two-column arrangement of claim 1 , wherein the turbines have a same turbine radius and one or more of the following conditions are satisfied:
half downwind spacing between turbines is less than the turbine diameter but greater than the turbine radius;
half crosswind distance between turbines is less than the turbine diameter but greater than the turbine radius; and
half crosswind spacing between columns is less than twice the turbine diameter but greater than twice the turbine radius.
6. A two-column arrangement of turbines,
each column includes clockwise rotating turbines and counter-clockwise rotating turbines,
each column defining a first or second column centerline,
the two-column arrangement comprising:
a first column turbine arrangement comprising one or more clockwise rotating first column turbines and one or more counterclockwise rotating first column turbines, and
a second column turbine arrangement comprising one or more clockwise rotating second column turbines and one or more counterclockwise rotating second column turbines,
wherein
the one or more clockwise rotating first column turbines and the one or more counterclockwise rotating first column turbines are located on opposite sides of the first column centerline, so that all clockwise rotating turbines of the first column turbine arrangement are located on a first side of the first column centerline and all counterclockwise rotating turbines of the first column turbine arrangement are located on a second side of the first column centerline;
the one or more clockwise rotating second column turbines and the one or more counterclockwise rotating second column turbines are located on opposite sides of the second column centerline, so that all clockwise rotating turbines of the second column turbine arrangement are located on a first side of the second column centerline and all counterclockwise rotating turbines of the second column turbine arrangement are located on a second side of the second column centerline;
the one or more clockwise rotating first column turbines are downwind staggered with respect to the one or more counterclockwise rotating first column turbines; and
the one or more clockwise rotating second column turbines are downwind staggered with respect to the one or more counterclockwise rotating second column turbines.
7. A column arrangement of turbines comprising:
one or more clockwise rotating turbines and one or more counterclockwise rotating turbines, wherein
the column arrangement of turbines defining a column centerline, and
the one or more clockwise rotating turbines and the one or more counterclockwise rotating turbines are located on opposite sides of a column centerline, so that all clockwise rotating turbines of the column arrangement are located on a first side of the column centerline and all counterclockwise rotating turbines of the column arrangement are located on a second side of the column centerline, wherein
the one or more clockwise rotating turbines are downwind staggered with respect to the one or more counterclockwise rotating turbines.