A plant that includes free-floating wave energy aggregates units for converting wave energy to another energy form. A plurality of smaller single units of wave energy aggregates is placed in a flexible grid construction. The plurality of smaller single units is connected to the grid construction in a manner so that it is fixed in a horizontal direction but flexible and capable of independent movement in a vertical direction. Advantageously, the plurality of smaller single units of the aggregate unit is placed in two staggered parallel rows arranged to take up a minimum amount of space without the plurality of smaller single units hitting each other.