Harmonic adsorption recuperative power systems and methods

A thermal compression power generation system, comprising:

• a working fluid;
• an engine driven by the working fluid;
• a heat exchange fluid;
• and
• a thermal compression system comprising two or more independent adsorbers each containing a sorbent;
• wherein the working fluid passes through the adsorbers and is adsorbed and desorbed by the sorbent;
• wherein the heat exchange fluid passes through the thermal compression system and transfers energy to and from the working fluid while being desorbed and adsorbed by the sorbent;
• wherein the working fluid remains in vapor phase while in the thermal compression system without condensing into liquid phase;
• and
• wherein the two or more independent adsorbers alternate between an adsorption phase and a desorption phase in a harmonic cycle, wherein during the desorption phase output pressure of the adsorbers falls to a minimum value while adsorber temperature rises to a maximum temperature, and during the adsorption phase the adsorbers begin at a lowest pressure in the cycle and pressure increases up to a maximum value.