The problem of optimizing the thermal processes in a variable air volu
me (VAV) of heating, ventilating and air conditioning (HVAC) system is
explored. Steady-state models of HVAC system components are developed
. These models are interconnected to simulate the responses of the VAV
system. The constrained optimal control problem is formulated and sol
ved for two cases: one with constraints on zone-humidity ratio and one
without. Typical daily optimal operating trajectories for the system
are presented. Results show that to achieve thermal comfort, both zone
temperature and humidity ratio should be controlled. The use of outdo
or-air-for-free-cooling is also studied as an optimization problem and
the resulting optimal outdoor air-flow rates and energy savings are a
ssessed.