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We calculated implied electricity prices by dividing total electric expenditures by total electricity consumption.1 We then dropped out about 80 records that had implied electricity prices in 1989 dollars of greater than $0.20/kWh because such high prices are likely the result of data problems (the US average price was around $0.07/kWh in 1989). The weighted average prices from CBECS were then uniformly scaled down by 10 percent to make the CBECS average reflect the overall US average price in 1989, from US DOE (1991c). We adjusted the prices to 1993 dollars using the fixed-weight price index for consumer expenditures (Census 1994).
Our calculations of cost effectiveness assume that electricity prices remain constant. This assumption reflects the expectations of forecasters in the late 1980s, who expected little change in real electricity prices over the following ten to fifteen years (US DOE 1989).
Estimated savings per ballast are 10 watts for the F40 ballasts and 15 watts for the F96 ballasts (Freegard 1988). We use the savings from two-lamp ballasts, which comprise the overwhelming majority of ballasts sold in the US.
Ballast lifetimes are 33,000 hours for F40 ballasts and 36,000 hours for F96 ballasts, taken from surveys of ballast manufacturers, luminaire manufacturers, and lighting management companies with vast experience in replacing ballasts (LRI 1995b). The average lifetime implied by these figures and the CBECS hourly usage distribution is eight to nine years. For buildings where the implied lifetime would exceed 20 years (very low usage buildings) we arbitrarily assigned lifetimes of 20 years.
We use the same lifetimes for standard and efficient ballasts, even though Freegard (1988) states that the efficient ballasts last "twice as long" as the inefficient type. This improved lifetime is mainly the result of lower heat dissipation inside the ballast. The longer lifetime of the efficient ballasts would improve the cost effectiveness of these devices, though, as we discuss below, the internal rate of return calculations are somewhat insensitive to the assumed lifetime.
We show two measures of cost-effectiveness in Table 3: cost of conserved energy ($/kWh) and the real internal rate of return (IRR) for an investor choosing to purchase the efficient magnetic ballast. We begin by sorting the 5000 remaining CBECS buildings from lowest to highest operating hours. We then combine the data into three operating hour bins (low hours, medium hours, high hours). The first bin comprises the lowest 30 percent of the buildings, the second bin comprises the middle 40 percent of the buildings, and the third bin comprises the highest 30 percent of the buildings. As shown in Table 3, buildings with higher operating hours generally have lower electricity prices than buildings with lower operating hours, mainly because intensively-operated larger buildings are given favorable utility rates.
The cost of conserved energy (CCE) using a 6 percent real discount rate is at least 70 percent lower than the price of electricity in all cases. Using a 20 percent real discount rate, the CCE is at least 40 percent lower than the electricity price for each building cohort. The IRRs for our building cohorts using the appropriate operating hours and electricity prices range from almost 40 percent real for F96 ballasts in the low operating hours case to about 200 percent real in the high operating hours case for F40 ballasts (Figure 3). By either of these two measures, the choice of efficient magnetic ballasts is quite cost effective.
1) Our calculation of electricity price from the CBECS utility billing data implicitly includes the demand charges common in commercial buildings. Back to text Last Updated On: 8/19/04