a wave energy mechanical interface;

a power take off coupled with the wave energy mechanical interface, wherein the power take off comprises a plurality of hydraulic pumps coupled with a plurality of hydraulic motors, and wherein the hydraulic pumps are coupled with the wave energy mechanical interface;

one or more generators coupled with the plurality of hydraulic motors of the power take off;

a controller coupled with the power take off, wherein the controller is configured to estimate an amount of energy transferred from waves to the wave energy mechanical interface using a modified Airy wave theory model, the modified Airy wave theory model generated by: generating a graph of a propagation of the waves on a surface of a homogeneous fluid layer in accordance with the Airy wave theory, wherein a wave phase of the graph begins at a wave crest, and wherein a direction of propagation of the wave phase of the graph is such that a wave period moves from 360° to 0°; resetting the beginning of the wave phase from the wave crest to a wave trough; and reorienting the direction of the propagation of the wave phase such that the wave period moves from 0° to 360°; and

wherein the controller is configured to regulate impedance of energy transferred from the wave energy mechanical interface through the power take off and to the one or more generators by starting-up at least one of the hydraulic pumps while at least another of the hydraulic pumps is shut-down, shutting-down at least one of the hydraulic pumps while at least another of the hydraulic pumps is started-up, selectively shifting a gear of one or more of the hydraulic motors, clutching-in at least one of the hydraulic motors while at least another of the hydraulic motors is clutched-out, clutching-out at least one of the hydraulic motors while at least another of the hydraulic motors is clutched-in, or combinations thereof.