Life-cycle cost model study—VAV vs. CV

Lacey (1993) has written about the selection of mechanical systems for laboratories. He describes the process in general and refers to a base case in particular which provides an exacting review of the design considerations, economic factors, and performance evaluations of VAV vs. CV systems.

The economic response of VAV [steady] and constant volume [rising] systems to design heat gain is very different.

In the variable flow system design heat gain is used to size the VAV supply boxes to each room and, with diversity, the supply duct work and air handlers. In operation, room flow will modulate to meet the greater of hood flow or required cooling flow. The operating costs are insensitive to design heat gain.

The impact on constant volume systems is very different and extremely dramatic. At low design heat gains (less than 10 W/ft2 (108 W/m2) for the base case, design room flow will be determined by the exhaust need of the fume hood. In [this situation], installation cost and operating cost are insensitive to design heat gain. More commonly, design heat gain will exceed 10 W/ft2 (108 W/m2), and the flow requirement for peak heat gain will be greater than hood flow. In this condition, operating cost is directly related to design heat gain.

Maximum hood flow

The maximum hood flow is the product of hood width, maximum sash opening, design face velocity and the number of hoods per laboratory. As one would expect, the maximum hood flow is a very strong factor for both constant volume and VAV system cost. Hood face area is the mathematical product of hood width, sash height and the number of hoods per laboratory. If hoods are very small or few in number, heat gain in the laboratories will determine the required air flow and cost is insensitive to hood size. In the base case [example], face velocity is 100 fpm (0.5 m/s) and the cost break occurs at a hood width of 3 ft (1 m) for VAV systems and 6 ft (2 m) for constant volume systems. When hoods are larger than these threshold widths, operating cost is essentially proportional to maximum hood flow.

Climate

Sites throughout North America experience a very wide range of climate. The amount of energy required to condition outside air to a supply temperature also varies. In [the example] analysis, climate is quantified as the number of heating and cooling degree days based on 55 °F (13_ C). This value can be derived from a bin analysis, or the computations presented by Erbs [1983] can be used to shift degree days values based on other temperatures. In climates where the 55°F (13°C) base heating degree days exceed 3,000, the energy saved by the heat recovery system is enough to result in a system life cycle cost that is lower than a constant volume system without heat recovery.


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