The paper deals with the modelling, optimization and control of the IPS buoy wave energy converter, a twobody point-absorber oscillating in heave, consisting of a floater rigidly connected to a long submerged vertical acceleration tube open at both ends within which a piston can slide, forcing the motion of the inside water below and above it. Energy is converted from the relative motion between the piston and the buoy-tube pair. The modelling is first performed in the frequency domain (including reactive phase control), in oder to provide some kind of geometry optimization, and subsequently also in the time-domain to allow the simulation of a highpressure-oil PTO capable of producing phase-control by latching.