Question
The assignment asks a series of questions related to the Alaska Power Cost Equalization (PCE) program administered by the Alaska Energy Authority (AEA). The PCE
The assignment asks a series of questions related to the Alaska Power Cost Equalization (PCE) program administered by the Alaska Energy Authority (AEA). The PCE program provides grants to rural Alaska electric utilities to subsidize retail rates to residential consumers. The subsidized retail rate is calculated as 95% of the "eligible costs" per kWh between a floor price and a ceiling price of $1.00/kWh for the first 750 kWh. The floor price, or "base rate," is determined by the average of recent Anchorage, Fairbanks, and Juneau retail electricity prices. It also subsidizes up to 70kwh per month per community resident for "community facilities" such as a washeteria. When residential customers use more than 750 kWh threshold in a month, they pay the full rate for consumption above the threshold. Schools, government agencies, and commercial customers do not receive a subsidy. For example, if the floor price is 20 cents per kWh, and the utility retail electricity rate is 50 cents per kWh, of which 40 cents/kWh is "eligible costs," then the subsidy is $0.40 - 0.95*($0.40-$0.20) = $018 /kWh, and customers pay $0.50 - $0.18 = $0.32 per kWh for the first 750 kWh in a month. For a residential customer that used 500 kWh in a particular month, their bill that month would be $0.32*500 = $160. Without PCE, they would pay $250, so you can see that PCE is important for making electricity affordable for rural Alaska households. For contrast, the average Alaska household living in urban Alaska would be paying about $0.20 per kWh, so their monthly bill for 500 kWh would be $100. Two things about PCE are important to keep in mind as you answer the questions. First, the utilities participating in the PCE program are all subject to rate regulation by the Regulatory Commission of Alaska (RCA). Second, the "eligible costs" for the subsidy are basically the utility's costs. The Alaska legislature, in enacting the PCE program, did not want to subsidize the utility's full regulated electricity rate, because that would mean subsidizing the utility's profits. The data for the following questions are adapted from real costs reported by an actual rural Alaska utility to the AEA in 2023. The floor price (base rate) in 2023 was 19.58 cents per kWh. The three tables below describe the utility's operations, and assumptions required to answer the questions that involve calculations. The blank cells represent numbers you have to calculate to answer the questions. The RCA set's the utility' retail electricity rate using standard rate of return regulation. Given the rate base of $1,450,000, and a regulatory allowed rate of return of 10%, fill in the blank cells in column 1 of the table. a. What is the utility's required annual revenue? b. What is the regulated price of electricity, in $/kWh, without the PCE subsidy? c. Given the PCE definition of expenses eligible for subsidy as including all fuel and non-fuel costs, excluding profits, what are the "eligible costs" per kWh? d. What is the subsidy per kWh and the subsidized electricity rate? (Refer to the PCE table for reference, and fill in the blank cells for column 1).
(1) | (2) | (3) | (4) | (5) | |
Diesel power alone | Diesel with wind (utility owned) | Diesel with wind (IPP owned) | Diesel power alone with carbon tax | Diesel and wind with carbon tax | |
Projected electricity demand (mWh/year) | 2,000 | 2,000 | 2,000 | 2,000 | 2,000 |
Diesel fuel used (gallons per year) | 150,000 | same as col 2 | 150,000 | same as col 2 | |
Diesel generation heat rate (MMBtu/kWh) | 0.0104175MMBtu/kWh | same as col 1 | same as col 1 | same as col 1 | same as col 1 |
Diesel generation conversion efficiency (%) | 9.605% | same as col 1 | same as col 1 | same as col 1 | same as col 1 |
Price of diesel fuel ($/gallon) | $4.10 | $4.10 | $4.10 | $4.10 | $4.10 |
Annual fuel costs ($/year) | $615,000 | same as col 2 | 615,000 | same as col 2 | |
Annual non-fuel operating expenses (excl. tax) | $700,000 | $720,000 | $700,000 | $720,000 | |
Carbon tax ($/year) | 0 | 0 | 0 | ||
Total expenses (fuel costs + non-fuel costs + tax) | $1,315,000 | ||||
Regulatory allowed rate of return | 10% | 10% | 10% | 10% | 10% |
Rate base | $1,450,000 | $3,450,000 | $1,450,000 | $1,450,000 | $1,450,000 |
Regulatory allowed profit | |||||
Total regulatory revenue requirement | |||||
Regulated electricity rate ($/kWh) |
Wind turbine parameters (Informational)
Capital cost | $2,000,000 |
Capacity (mW) | 0.4 |
Projected load factor | 0.30 |
Expected life (years) | 30 |
Annual operating costs | $20,000 |
Projected annual generation (mWh) | |
Levelized cost of wind power ($/kWh) |
Carbon tax (Informational)
Diesel power alone | Diesel with wind | |
Carbon tax rate ($/metric ton) | $100 | $100 |
CO2 emissions (kg/year) | ||
Carbon tax ($/year) |
Power Cost Equalization (PCE)
(1) | (2) | (3) | (4) | (5) | |
Diesel power alone | Diesel plus wind (utility owned) | Diesel plus wind (IPP owned) | Diesel alone with carbon tax | Diesel and IPP wind with carbon tax | |
Total expenses ($/kWh) | |||||
PCE base rate ($/kWh) | $0.196 | $0.196 | $0.196 | $0.196 | $0.196 |
PCE subsidy (0.95*(total expenses - $0.196) | |||||
PCE subsidized electricity rate ($/kWh) (subtract PCE subsidy from regulated electricity rate) |
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