Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Transmission line loudspeaker wikipedia , lookup
Power engineering wikipedia , lookup
Alternating current wikipedia , lookup
Mains electricity wikipedia , lookup
Electrical substation wikipedia , lookup
Electricity market wikipedia , lookup
Distributed generation wikipedia , lookup
History of electric power transmission wikipedia , lookup
Introduction to Efficient Pricing Presented to: Edison Electric Institute’s Advanced Rates Course University of Wisconsin, Madison Presented by: Philip Q Hanser July 23, 2012 Copyright © 2012 The Brattle Group, Inc. www.brattle.com Antitrust/Competition Commercial Damages Environmental Litigation and Regulation Forensic Economics Intellectual Property International Arbitration International Trade Product Liability Regulatory Finance and Accounting Risk Management Securities Tax Utility Regulatory Policy and Ratemaking Valuation Electric Power Financial Institutions Natural Gas Petroleum Pharmaceuticals, Medical Devices, and Biotechnology Telecommunications and Media Transportation What Do We Mean by Efficient Pricing? In the economists (and engineer’s) view of the world, prices are efficient is they provide the right signals to customers about the costs of the goods they purchase, i.e., ♦ IF IT COSTS MORE TO PRODUCE, IT’S PRICE IS HIGHER. In the utility world, this gets somewhat confused because rate of return regulation results in costs, which can be dominated by the history of investments the utility has made, i.e., ♦ Accounting costs ≠ actual production costs necessarily Marginal costs represent the true opportunity cost to the utility and should be reflected (notice term!) in rates. 2 Why Marginal Cost-Based Rates? ♦ Rates reflecting marginal costs mimic the presumed structure of prices in competitive markets, thus should be efficient prices ♦ Typical rates are usually only remotely reflective of the true cost to serve customers • Embedded cost-based rates have averaged into them the entire history of investments by utility ■ Is the cost of laying new conductor in downtown areas the same as that when the lines were originally constructed? ♦ All true costs are opportunity costs, avoids the fallacy of sunk costs FUNDAMENTAL QUESTION: What costs do you incur as a utility in providing an additional unit of service to a customer or to serve an additional customer at a specific time and location? 3 Some Market Organization Background Just as the ancients believed that the world is composed of four elements – Earth, Wind, Fire, and Water. All of Rate Design is composed of four elements – Generation, Transmission, Distribution, and Customers. However, the electric utility combines these four elements differently depending on whether your utility is integrated or not, whether it is in a regional transmission organization (RTO) or not, and if it is in an RTO, how the RTO is organized. 4 Traditional Markets ♦ Traditional Markets • Comprised of primarily integrated utilities • Price formation is entirely through regulation by public utility commissions. ♦ Utility performs the following functions • Distribution Low voltage wires providing service to ultimate customer – residential, commercial, small industrial • Transmission Bulk power system ♦ Provides “highway” connecting generation to distribution system ♦ Largest customers connect at the voltage levels of transmission system ♦ Interconnection to other utilities provides reliability enhancement and potential for economic interchange • Generation Owned by utility Economic dispatch 5 Traditional Markets Utility B Utility A Generator Generator Wholesaler/Transmitter Wholesaler/Transmitter Distributor Distributor Customer Customer Decentralized Bilateral Trade 6 Three Primary Generation Types 1. Baseload • High capital costs, low marginal energy costs Coal, nuclear 2. Intermediate • Capital costs lower than baseload, but higher marginal energy costs • Usually fairly flexible in varying output levels Combined cycle gas turbine (CCGT) is typical unit 3. Peaking • Low capital costs and short lead times to build • High marginal energy costs Natural gas combustion turbine (CT) is typical unit 7 Other Generation ♦ Large scale hydroelectric • Big dams • 000’s MW • Pondage provides storage ♦ Smaller scale hydroelectric • Run-of-river • Typically small MW’s – a few to 100 ♦ Biomass – waste-to-energy – primarily co-generators selling power to utility ♦ Renewable resources • Typically characterized as high capital costs, but very low marginal energy costs, sometimes zero • Characterized by intermittency of output Predictable, but largely controllable Geographic-specific Wind, solar thermal, solar PV 8 Restructured Markets - Wholesale ♦ Restructured Markets – Regional transmission organizations (RTOs) • Aggregated transmission system operated by independent system operator (ISO) whose primary function is to provide open access to the transmission system and balance supply and demand Utilities retain TX ownership, requirement for maintenance, expansion Federal Energy Regulatory Commission (FERC) sets RTO’s rate and regulates • Generation bid into market Some utilities have retained generation ownership New entrants Very loosely regulated by FERC • Residual traditional utility, now known as Load-Serving Entity (LSE) or Local Distribution Company (LDC), operates and maintains the wires to retail customers Under wholesale competition ♦ Retains supplier role, purchasing on behalf of customers Under retail competition ♦ Residual obligations, Provider of Last Resort (POLR) In both approaches, regulated by state public utility commissions 9 Restructured Markets - Wholesale Wholesale competition - Centralized Market Design Genco Genco Genco Genco Genco ISO Wholesale Market Regional Transmission Organization LSE Consumers LSE LSE Consumers Consumers 10 Large customer Restructured Markets - Wholesale Centralized Wholesale Market/Decentralized Retail Market Genco Genco Genco Genco Genco ISO Wholesale Market Regional Transmission Organization Retailer Retailer Retailer Large customer Retail market LSEs Consumer Consumer Consumer 11 Consumer Restructured Wholesale Market ♦ ISOs are also market-makers ♦ Multi-settlement market • Day-ahead hourly market (DAM) – Locational Marginal Prices (LMPs) calculated Originally, these were called Locational Marginal Cost prices. • Real-time Real-time LMPs calculated Deviations from generation schedules (unscheduled outages) Deviations from forecasted bids or demand • Day-after Generators paid based on schedule, LSEs pay based on projected or bid demands Suppliers and demanders charged for increased costs resulting from deviations from schedule by settling at real time prices ♦ Ancillary services markets • Operating reserves • Transmission-related VARs • Capacity/Forward reserves market 12 The Logic of Dispatch Units Excess Capacity Demand Spike Demand $ / MW $ / MW Demand Supply Supply MW MW 13 Locational Marginal Prices Across a Day Locational Marginal Prices on August 1, 2002 NY City-PJM-Cinergy 180 NY City Cinergy 160 Central NY 140 Prices ($/MWh) 120 100 80 60 40 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Hour Source: New York ISO and Intercontinental Exchange 14 Cost Element Centralized Restructured Traditional Decentralized Restructured Utility supplies both energy and capacity. Investments and O&M are included in revenue requirements. RTO market provides energy and capacity. Investments and O&M are included in requirements, but netted against sales/purchases in RTO. Market provides both energy and capacity. Either generation costs from market are passed through or utility contracts on behalf of customer (POLR, etc.) Utility supplies transmission services. Investments and O&M are included in revenue requirements. RTO supplies network transmission services. As with generation, investments and O&M are included in revenue requirements, but netted against sales/purchases in RTO. RTO supplies network transmission services. Costs are passed through to customers. Distribution Utility supplies distribution services. Investments and O&M are included in revenue requirements. Utility supplies distribution services. Investments and O&M are included in revenue requirements. Utility supplies distribution services. Investments and O&M are included in revenue requirements. Customer Metering, customer services, connections, etc. supplied by utility. Investments and O&M are included in revenue requirements. Metering, customer services, connections, etc. supplied by utility. Investments and O&M are included in revenue requirements. Metering, customer services, connections, etc. supplied by utility. Investments and O&M are included in revenue requirements. Production (Generation) Transmission 15 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs Marginal generation capacity costs b) Marginal generation energy costs Marginal Transmission Capacity Costs Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs Determine appropriate costing periods Attributing costs to costing periods Adjustment of marginal costs for losses Reconciling marginal cost-based rates with revenue requirements a) 3. 4. 5. 6. 7. 8. 16 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs Marginal generation capacity costs b) Marginal generation energy costs Marginal Transmission Capacity Costs Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs Determine appropriate costing periods Attributing costs to costing periods Adjustment of marginal costs for losses Reconciling marginal cost-based rates with revenue requirements a) 3. 4. 5. 6. 7. 8. 17 1. Carrying Charges – Annualizing Investments The capacity costs — generation, transmission, distribution and the customer costs — represent investments made by the utility over a particular time span, say one to several years, but whose lives are considerably longer, say 15 to 30 years. Converting those lumpy investments into annual costs is called annualization. Two kinds of carrying charges ♦ Levelized (nominal) ♦ Economic (real) 18 1. Illustration of Alternative Carrying Charges For purposes of these examples assume ♦ Weighted average incremental cost of capital = 12% • Inflation rate = 6% • Investment life = 30 years ♦ Present value of revenue requirements per dollar of investment = 1.3, i.e., a $1 investment has a PVRR of $1.30 19 1. Illustration of Alternative Carrying Charges Assumptions: ♦ r = the weighted average incremental capital cost = 12% ♦ e = the rate of inflation = 6% ♦ N = the book life of the investment = 30 years ♦ I = the initial investment cost = $1.00 ♦ K = the present value of revenue requirements = 1.3 x I. Capital Recovery Factor: ♦ = Ir (1+r)n = .1241 or 12.41% (1+r)n-1 Levelized Carrying Charge: ♦ = Kr (1+r)n = .1641 or 16.14% (1+r)n-1 (or = 1.3 x .1241) Economic Carrying Charge: ♦ = K(r-e) (1+r)n = .0965 or 9.65% (1+r)n - (1+e)n 20 1. Comparison of Carrying Charges in Nominal Dollars Economic Carrying Charge $ Revenue Requirement Levelized Carrying Charge 0 10 20 21 30 Years 1. Comparison of Carrying Charges in Constant Dollars Revenue Requirement $ Economic Carrying Charge Levelized Carrying Charge 0 10 20 22 30 Years Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 23 2. Marginal Generation Costs – Marginal Generation Capacity Costs If in a regional transmission organization (RTO), easy – either penalty for failing to have adequate capacity or price set in capacity market; if not in an RTO, need to answer the question: ♦ If demand increased a non-trivial amount, say 50 MW, how would the utility respond in the most economic manner while maintaining the same level of reliability? Load (MW) 1 KW 1,000 MC = cost/kW (1000/500) RM 0.5 KW 500 Hours 24 7,000 8,760 2. Marginal Generation Costs – Marginal Generation Capacity Costs (cont’d) Two primary approaches: ♦ So-called NERA peaker method • A combustion turbine has low capital costs, although its fuel efficiency is relatively low • CT on a flatbed ♦ System planning approach • What is the least cost adjustment to planned capacity additions needed to meet the increase in load and maintain the same reliability? ■ How would the system planner respond to the change in load? ■ How would the resource plan change? ♦ ♦ Move up the schedule of planned resource additions Add new resources 25 2. Marginal Generation Costs – Marginal Generation Capacity Costs (cont’d) System planning method steps 1. Determine planned response to a change in forecast load growth 2. Determine capacity cost per kilowatt of response 3. Annualize the capacity costs 4. Add the O&M per kW 5. Compute and deduct any fuel or other savings per kW 6. Adjust for reserve margin; ancillary services, etc. An aside on measures of reliability ♦ Loss of load probability (LOLP) – Probability that load exceeds resource capability ♦ Loss of energy probability (LOEP) – Percent of energy that will be unable to meet with current resource capability • LOLP as a reliability is appropriate only when marginal outage cost does not vary with the magnitude of the shortages. 26 Marginal Capacity Costs Using the System Planning Method: Planner Builds Combustion Turbine Minimum Capacity Required: Requirement Met By: 60 MW Building a combustion turbine Marginal Cost Annualized Cost of a Turbine (2012$): $58/kW (580 x 10%) Fixed O&M: $2/kW Reserve Margin: 20% Adjusted Annual Cost: $72/kW (30 x 1.2) 27 2. Marginal Capacity Costs Using the System Planning Method: Planner Moves CCGT Unit Forward (2010$) Minimum Capacity Required: Requirement Met By: 60 MW Accelerating a CCGT unit by one year Marginal Cost CCGT Annualized Capacity Cost: $230/kW Fixed O&M: $6/kW CCGT Fuel Savings: $63.3 million ♦ (Discounted Over Entire Life) Other Savings: $1.8 million (45 x 40,000) ♦ (Won’t Need to Purchase Firm Power) Fuel and Other Savings per kW: $186/kW (65.1 million/350,000) Net Capacity Cost: $50/kW (230 + 6 – 186) Reserve Margin Adjustment: $60/kW (20.00 x 1.2) 28 2. Marginal Generation Costs – Marginal Energy Costs For utilities in an RTO, use locational marginal prices (LMPs) ♦ In rate design, load serving entity’s (LSE) averaged LMPs across load can be used ♦ For locationally-targeted demand-side management (DSM) programs, more appropriate to use LMPs in/near targeted areas ♦ Need to go through bills from RTO to cull out energy-related costs: ancillary services, etc. For utilities not in RTO, use system lambda (λ): Hourly System Lambda for a Typical Day Hour Ending 1 a.m. 2 3 4 5 6 7 8 9 10 11 12 p.m. System Lambda (mills/kWh) 16 16 16 16 36 36 54 54 54 54 54 36 29 Hour Ending 1 a.m. 2 3 4 5 6 7 8 9 10 11 12 a.m. System Lambda ($/MWh) 36 36 36 36 54 54 54 54 54 54 36 36 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 30 3. Marginal Transmission Capacity Costs In an RTO, utility can use network service charge (or transmission service charge). Needs to be adjusted for losses, which will be discussed later. Some utilities in an RTO have some transmission and whose costs are not included in the RTO tariff within their service territory. They will need to do calculations similar to those for non-RTO utilities. For many RTO utilities, the issue is which transmission investments are peak demand-related. Some typical reasons for transmission investments: a) To transfer power from generation to the distribution system (capacity must be great enough to serve peak, even in the event of outages b) To maintain or increase the reliability of the power system c) Old equipment replacement d) Tying remote generation to the central transmission system e) Interconnecting with other utilities Which are peak demand-related – Certainly a & b. What about the rest? 31 3. Marginal Transmission Capacity Costs (cont’d) Three common methods: ♦ Actual Loads Method • Use historical data and unitize peak demand-related investments based on observed growth in demand ■ Some problems ♦ ♦ Fails to account for construction lead times Actual loads may differ from expected loads which were the basis for investments ♦ Lead Time Method • Use load growth over period beginning, for example, three years after first investments considered in analysis and ending three years after the last investment ■ Solves contemporaneity problem of actual loads method, but still uses actual rather than expected demand 32 3. Marginal Transmission Capacity Costs (cont’d) ♦ System Planning Method • Uses expected loads as the basis for unitizing costs Regardless of method chosen need to additionally: ♦ Annualize unit costs ♦ Add O&M expenses 33 3. Marginal Transmission Capacity Costs (cont’d) Three Methods for Determining Transmission Peak Load Additions Peak-Related Transmission Investments (2012$): $28,283,000 Growth in System Peak Load (MW) Actual Loads Method 2007 2008 2009 2010 2011 2012 2013 2014 70 45 25 -35 65 ---- Total Load Growth: 2007 – 2011: 170 Lead-Time Method System Planning Method ----35 65 40 80 120 ---50 55 40 80 120 2010 – 2014: 270 2010 – 2014: 345 34 3. Marginal Transmission Capacity Costs (cont’d) The Unitization of Peak-Related Transmission Investments: 2007 – 2011 (2012 Dollars) Actual Loads Method Lead-Time Method System Planning Method Additional Peak-Related Investment $28,283,000 $28,283,000 $28,283,000 Growth in System Peak (kW) 170,000 270,000 345,000 Unitized Cost (2010$/kW): = (1) / (2) $166.37/kW $104.75/kW $81.98/kW 35 3. Marginal Transmission Capacity Costs (cont’d) The Calculation of Transmission O&M Costs Cost Transmission O&M (Nominal $000) Price Index 2010 = Base Transmission O&M (2010 $000) System Peak (MW) 2009 $1,304 0.7917 $1,647 1,938 $0.85 2010 1,550 0.8761 1,769 1,903 0.93 2011 1,427 0.9542 1,495 4,911 1,968 5,809 0.76 0.85 36 Average O&M (2010 $/kW) 3. Marginal Transmission Capacity Costs (cont’d) Steps in calculating marginal transmission capacity costs 1. Determine analysis period (can include historical and forecast, possibly several different periods) 2. Convert investments into constant dollars 3. Categorize transmission investments as peak and nonpeak related 4. Using either of these three methods above, use load additions as basis for investments 5. Unitize investment costs 6. Annualize the unitized costs 7. Add operations and maintenance costs 37 3. Marginal Transmission Capacity Costs (cont’d) Summary of the Calculation of Marginal Transmission Capacity Costs (2010 Dollars) Total peak-related transmission Investment (2007 – 2011): $28,283,000 Total planned load growth (system planning estimate): 345,000 kW Utilized Cost $81.98/kW Annualized cost per kW: $8.20/Kw (81.98 x .10) Transmission O&M cost: $0.85/kW Marginal transmission capacity cost: $9.05/kW 38 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 39 4. Marginal Distribution Costs Marginal distribution costs consists of two components ♦ Marginal distribution capacity (or demand) costs ♦ Marginal customer costs • The distribution between these costs is not always clear Marginal distribution customer-related costs methods are ♦ Minimum system approach ♦ Zero-intercept approach ♦ Engineering approach 40 4. Marginal Distribution Costs – Customer Related Costs The steps in the minimum system method are: 1. Determine the minimum-sized equipment currently installed – minimum pole height, conductor size, transformer size, service length, etc. 2. Multiply the minimum-sized equipment by the total capacity (i.e., actual numbers of poles installed, circuit miles laid, number of transformers, numbers of services, etc.) 3. Multiply by the current as expected (for future years) installed cost 4. Unitize the customer-related marginal costs, using the number of customers served by that portion or voltage level of the distribution system 5. Annualize the investment costs 6. Add customer-related O&M and customer account costs 41 4. Marginal Distribution Costs – Customer Related Costs (cont’d) The steps in the zero-intercept method are: 1. Determine the analysis period 2. Convert all distribution cost data, net of meters and services, to constant dollars 3. Separate distribution by voltage levels, i.e., primary and secondary 4. For each voltage level analyzed, relate total distribution costs to peak load using a trend or linear regression analysis 5. Extrapolate the trends to zero load and determine costs at zero load 6. Unitize the costs using the number of customers by voltage level, i.e., primary and secondary 7. Add the costs of meters and services 8. Annualize the investment costs 9. Add customer-related O&M and customer account costs Optimally, the analysis will be forward-looking, but inevitably some historical data will be used. N.B., this method sometimes produces negative customer costs. 42 4. Marginal Distribution Costs – Customer Related Costs (cont’d) Constant Dollar Distribution Plant Versus Peak Load (2010 Dollars) Distribution Plant ($000) Distribution Plant ($000) Secondary Voltage Primary Voltage 06 05 04 05 06 03 04 02 02 17,500 03 15,500 0 Peak Load 0 43 Peak Load 4. Marginal Distribution Costs – Customer Related Costs (cont’d) Zero Intercept Method Summary Zero load plant investment:* Secondary Voltage $15,500,000 Primary Voltage $17,500,000 Number of customers: 100,000 175,000 Unitized cost: $155 $100 Plant cost by voltage level: $255 ($155 + $100) $1,090 Meters and services: $225 $1,010 Total Cost: _______________________ $480 $2,200 *Excluding meters and services. 44 4. Marginal Distribution Costs – Customer Related Costs (cont’d) The steps in the engineering approach are: 1. Obtain average line length extension and average transformer costs from data on customer installations, all on a unitized basis 2. If need be, disaggregate costs to reflect differing geographic conditions, building code requirements, infrastructure growth in undeveloped areas 3. Annualize the investment costs 4. Add customer-related O&M and customer account costs 45 4. Marginal Customer Costs – Marginal Distribution Capacity-Related Costs Steps for estimating marginal distribution capacity costs 1. Determine time span to be analyzed 2. Classify distribution plant as either demand or customer-related 3. Separate demand-related plant by voltage levels, i.e., primary and secondary levels 4. Convert all investments to constant dollars 5. Determine planned load growth by voltage level; i.e., primary and secondary levels 6. Unitize the investment costs 7. Annualize the unitized costs 8. Add O&M Costs Summary of Annualized Distribution Capacity Costs (2010$) Primary voltage level: $5.99 per kW per year Secondary voltage level: $16.51 per kW per year 46 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 47 5. Determine Appropriate Costing Periods Costing periods attempt to capture variations in marginal capacity and energy costs for a system over the course of a year. Costing periods are not the same as rating periods, but are developed as a step prior to rating periods. The goal is to group hours that are “similar” in their cost causation. For utilities in RTOs, grouping by LMP is likely to be the easiest approach, since the RTO’s cost variations will likely determine the rating periods. However, the distribution utility may wish to group hours based on a maximum stress to the distribution system. For utilities not in RTOs, the usual approaches use metrics such as: ♦ LOLP ♦ System Loads ♦ System Lambda (similar to using LMPs) The approaches include simple groupings to sophisticated statistical analyses such as cluster analysis. 48 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 49 6. Attributing Costs to Costing Periods – Marginal Capacity Costs Marginal capacity- (or demand-) related costs are annual and so must be attributed to the costing periods developed above. For utilities in RTOs, LMPs may be a proxy for a reliability measure such as LOLP, but they may not. It is probably useful to check with the RTO to determine if they can provide some form of hourly reliability index. For utilities not in RTOs, three common measures are: ♦ LOLP ♦ Reserve margins ♦ Probability of negative margin We illustrate below the use of absolute LOLP and relative LOLP on the capacity allocation factors and the final cost attributions 50 6. Attributing Costs to Costing Periods – Marginal Capacity Costs (cont’d) Capacity Allocation Factors Derived From LOLP Costing Period Summer: Peak Off-Peak Winter: Peak Off-Peak Absolute LOLP (Days in 10 yrs.) Relative LOLP 0.63 0.05 0.700 0.056 % of Capacity Costs Assigned to Period 70.0% 5.6% 0.22 0.244 24.4% + 0.00 + 0.00 + 0.0% 0.90 1.000 100.0% 51 6. Attributing Costs to Costing Periods – Marginal Capacity Costs (cont’d) Attribution and Summary of Annualized Marginal Capacity Costs by Costing Period (2010 Dollars) Total Cost Relative LOLP COST BY PERIOD Summer Winter Peak Off-Peak Peak Off-Peak -- 0.70 0.056 0.244 0.00 Marginal generating capacity costs ($/kW) $24.00 $16.80 $1.34 $5.86 0 Marginal transmission capacity costs ($/kW) $9.05 $6.34 $0.51 $2.20 0 Marginal distribution capacity costs: Primary ($/kW) Secondary ($/kW) $5.99 $16.51 $4.19 $11.56 $0.34 $0.92 $1.46 $4.03 0 0 52 6. Attribution of Costs to Costing Period – Marginal Energy Costs Calculating marginal energy costs by period consists of aggregating the hourly costs to broader costing periods. Three primary methods are used: ♦ Averaging all of the marginal energy costs in each period ♦ Selecting specific hourly costs that are arguably most representative of each period, for example, the mode of the highest marginal energy costs ♦ Weight-averaging, say by load, the marginal energy costs Simple averaging is most common. 53 6. Attribution of Costs to Costing Period – Marginal Energy Costs (cont’d) Summary of System Lambda By Period (2010¢/kWh) Costing Period Summer: Peak Off-Peak Winter: Peak Off-Peak 2006 2007 2008 2009 2010 Average 2006 - 2010 6.5 4.2 7.0 4.3 7.5 4.6 9.0 5.2 10.0 5.8 8.0 4.8 4.3 4.0 5.0 4.2 5.8 4.3 6.0 4.6 6.2 4.9 5.5 4.4 54 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 55 7. Adjustment of Marginal Costs for Losses ♦ Losses occur when electrical energy is converted into heat energy. Think of ♦ ♦ ♦ ♦ an electric stove. Losses, as a percentage of throughput from one end of a line to the other, are greatest at low voltages. (For example, the economies from using high voltage direct current (HVDC) lines are largely due to their lower losses.) Thus, the losses at the service drop to the residential customer are greater than the losses for the service drop to the industrial customer because of the higher voltage the latter is connected at. Also, conversion from one voltage to another will incur losses. Thus, residential customers will have the highest loss factors because they receive power at the lowest voltage. The losses must be made up by additional generation. There are two varieties of losses that must be accounted for: • Demand losses, which modify marginal capacity costs — generation, transmission, and distribution • Energy losses, which modify marginal energy costs Are marginal customer costs modified for losses? 56 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs ♦ The next table provides the demand loss multiplier for each voltage level. We assume transmission is at 115 kV, primary distribution at 13kV, and secondary at 4kV and lower. ♦ Thus, for a MW to be delivered at 4kV or lower, 1.09 MW needs to be generated. These factors are multiplicative. N.B. Some demand loss factors are defined not multiplicatively, but additively. You need to know which you are given. ♦ Just as marginal generation capacity costs must be modified, so too must marginal transmission and distribution costs. • Although the demand loss multiplier for generation to the secondary • voltage level is 1.09, if that were used for the loss-adjusted marginal transmission costs, it would overstate them. That is because 2.5% of the power is lost moving from generation to secondary voltage must be reduced (by dividing by 1.025) to 1.063 to reflect that these are only the losses in going from transmission to secondary voltage. A similar reasoning holds in adjusting for losses in going from transmission to distribution, for adjusting for losses at the distribution level in going from primary to secondary. 57 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs (cont’d) Summary of Demand Loss Multipliers Applicable to System Peak Voltage Level Transmission (115 kV) Demand Loss Multiplier 1.025 Primary (13 kV) 1.050 Secondary (4 kV and lower) 1.090 58 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs (cont’d) Marginal Generation Capacity Costs Adjusted for Losses Marginal Generation Cost After Loss Adjustment _________________________________________ Costing Period Marginal Cost @ Transmission Generation Level Voltage Primary Voltage Secondary Voltage Summer: Peak Off-Peak $16.80 1.38 $17.22 1.37 $17.64 1.41 $18.31 1.46 Winter: Peak Off-Peak $5.86 0 $6.01 0 $6.15 0 $6.39 0 Demand-loss Multiplier: 1.000 1.025 1.050 1.090 59 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs (cont’d) Marginal Transmission Capacity Costs Adjusted for Losses Loss-Adjusted Marginal Transmission Costs _________________________________________ Costing Period Marginal Transmission Costs @ the Transmission Voltage Primary Voltage Secondary Voltage Summer: Peak Off-Peak $6.34 $0.51 $6.49 $0.52 $6.74 $0.54 Winter: Peak Off-Peak $2.20 0 $2.25 0 $2.34 0 Demand-loss Multiplier: 1.000 1.024a 1.063b a b The loss multiplier equals 1.05 divided by 1.025 = 1.024. The loss multiplier equals 1.09 divided by 1.025 = 1.063. 60 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs (cont’d) Marginal Primary Distribution Cost Adjusted for Losses Costing Period Loss Adjusted Marginal Primary Distribution Cost (Secondary Voltage) Marginal Primary Distribution Cost (Primary Voltage) Summer: Peak Off-Peak $4.19 $0.34 $4.35 $0.35 Winter: Peak Off-Peak $2.20 0 $1.52 0 Demand-loss Multiplier: a 1.000 The loss multiplier equals 1.09 divided by 1.05, or 1.038. 1.038a 61 7. Adjustment of Marginal Costs for Losses – Marginal Capacity Costs (cont’d) SUMMARY OF LOSS-ADJUSTED MARGINAL CAPACITY COSTS (2010 Dollars per kW) Transmission Voltage Customer Costing Period Generation Transmission Total Margin Marginal Cost Marginal Cost Capacity Cost Summer: Peak Off-peak $17.22 $1.37 $6.34 $0.51 $23.56 $1.88 Winter: Peak Off-peak $6.01 $0.00 $2.20 $0.00 $8.21 $0.00 Primary Distribution Voltage Customer Costing Period Primary Total Generation Transmission Distribution Marginal Marginal Cost Marginal Cost Marginal Cost Capacity Cost Summer: Peak Off-peak $17.64 $1.41 $6.49 $0.52 $4.19 $0.34 $28.32 $2.27 Winter: Peak Off-peak $6.15 $0.00 $2.25 $0.00 $1.46 $0.00 $9.86 $0.00 Secondary Distribution Voltage Customer Costing Period Generation Transmission Marginal Cost Marginal Cost Distribution Marginal Cost Primary Secondary Total Capacity Cost Summer: Peak Off-peak $18.31 $1.46 $6.74 $0.52 $4.35 $0.35 $11.56 $0.92 $40.96 $3.25 Winter: Peak Off-peak $6.39 $0.00 $2.34 $0.00 $1.52 $0.00 $4.03 $0.00 $14.28 $0.00 62 7. Adjustment of Marginal Costs for Losses – Marginal Energy Costs As was done for marginal capacity costs, marginal energy costs must also be adjusted for losses. Again, our approach is to use loss multipliers, in this case energy loss multipliers, to perform the calculations. Energy Loss Multipliers Costing Period Transmission Voltage Primary Voltage Secondary Voltage Summer: Peak Off-Peak 1.020 1.011 1.048 1.019 1.087 1.027 Winter: Peak Off-Peak 1.018 1.004 1.044 1.007 1.063 1.015 63 7. Adjustment of Marginal Costs for Losses – Marginal Energy Costs (cont’d) Loss-Adjusted Marginal Energy Costs (2010 cents per kWh) Delivery Voltage Costing Period Summer: Peak Off-Peak Winter: Peak Off-Peak Transmission Voltage Primary Voltage Secondary Voltage 8.16 4.85 8.38 4.89 8.70 4.93 5.60 4.42 5.74 4.43 5.85 4.47 64 Marginal Cost-Based Rates – Marginal Cost Calculation Complexities and Issues This has been a very brief overview. Here are some additional calculations not included, but which would be in a formal marginal cost-of-service analysis. ♦ Loadings for administrative and general (A&G), both plant and non-plant related ♦ Non-working capital – materials and supplies, prepayments, etc. • No associated revenue requirement ♦ If projects are staged over several years there may be contributions in aid of construction (CIAC) or Construction Work in Progress (WIP) calculations ♦ Distribution utility could substitute relative probability of peak in distribution system for the discussion of LOLP ♦ No inclusion of reserve margin in marginal distribution capacity costs 65 Steps in Developing Marginal Cost-Based Rates 1. Carrying charges – annualizing investments 2. Marginal Generation Costs a) Marginal generation capacity costs b) Marginal generation energy costs 3. Marginal Transmission Capacity Costs 4. Marginal Distribution Costs a) Marginal distribution customer-related costs b) Marginal distribution capacity-(demand)-related costs 5. Determine appropriate costing periods 6. Attributing costs to costing periods 7. Adjustment of marginal costs for losses 8. Reconciling marginal cost-based rates with revenue requirements 66 8. Reconciling Marginal Costs Based Rates With Revenue Requirements Generally, the revenue that would be collected under marginal cost-based rates, whether standard blocked rates or dynamic rates such as time-of-use (TOU), will not precisely coincide with the revenue requirements permitted under an embedded cost of service study. Thus, the utility will need to adjust the marginal cost-based rates. The two adjustments are: ♦ Revenue reconciliation ♦ Revenue repression Revenue repression is more commonly applied to dynamic rates, such as TOU. 67 8. Reconciling Marginal Costs Based Rates With Revenue Requirements (cont’d) Preliminary Marginal Cost Rates Customer Class Residential: Peak Off-Peak Preliminary Rates Demand: Energy: Demand: Energy: Customer Commercial: Peak Off-Peak Demand: Energy: Demand: Energy: Customer Industrial: Peak Off-Peak Demand: Energy: Demand: Energy: Customer $5.00/kW/mo. $57.00/MWh $2.00/MWh $32.50/MWh $14.18/mo. $4.60/kW/mo. $7.00/MWh $1.82/MWh $32.50/MWh $60.00/mo. $4.20/kW/mo. $55.00/MWh $1.70/MWh $31.90/MWh $1050.00/mo. Marginal Cost Revenues ($ mil.) Billing Unitsa 16,228 MW 1,234,153 MWh 17,395 MW 1,636,027 MWh 4,094,652 Bills 11,400 MW 1,171,841 MWh 14,400 MW 1,859,199 MWh 522,132 Bill 7,569 MW 1,077,533 MWh 12,832 MW 1,985,553 MWh 29,436 Bills TOTAL a 68 Revenue Gap ($ mil.) % Change from Accounting to Marginal $81.140 70.347 34.790 53.171 58.062 $297.510 $287.000 $10.510 +3.7 $52.440 66.794 26.572 60.424 31.328 $237.558 $219.700 $17.858 +8.1 $31.790 59.264 21.814 63.339 30.098 $207.115 $191.500 $15.615 +8.2 $742.183 Total energy for the system is 8.965 * 103MWh Accounting Cost Rev. Require. ($ mil.) $698.20 $43.98 +6.3 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation The goal in revenue reconciliation is to do the least harm to the efficiency of the marginal cost-based rates. They are five broad categories of adjustments. Often they are combined for best results. ♦ Lump sum transfer • Essentially a customer rebate. All customers receive a “lump sum” of many equal to their share of the difference between allowed revenues and projected revenues. If the marginal cost revenue is less than the allowed revenues, a “lump sum” surcharge is added to each bill. ♦ Inverse elasticity • Marginal cost-based rates are adjusted more for those customers who have the most inelastic demand or to the component of the rate for which the demand is least elastic. Nearly impossible to distinguish customers with regard to price elasticity for each component of a rate. 69 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation (cont’d) ♦ Customer Charge Adjustment • An application of the inverse elasticity rate. The difference between the allowed revenues and the marginal cost-based rate revenues is accomplished by adjusting the bill’s customer cost component. Demand and energy remain priced at marginal cost. Results in unequal (sometimes very) customer class impacts. ♦ Demand Charge Adjustment • Another application of the inverse elasticity rate. Same problems as with customer charge adjustment ♦ Equiproportional Adjustment • Increases (or decreases) all rate components for all classes equally by a factor sufficient to yield the revenue requirement. A slight variation on this caps the increase or decrease at a percentage above (or below) the percent for the utility as a whole. Prevents extreme increases (or decreases). 70 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation (cont’d) Examples (Based on chart on next page) ♦ Lump Sum Transfer • $43.98M surplus revenues. Using energy $43.98M/(8,965 x 104 kWh) ≈ $0.005/kWh or 5 mill/kWh. Since average residential customer uses ≈ 900 kWh/mo during peak four months, rebate ≈ $4.43/mo. 71 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation (cont’d) ♦ Inverse Elasticity • Assume all customers price elasticity of demand during all rating periods -0.5 and for energy it is -1.0. • For industrial customers, for which $15.615 (8.2%) would be overcollected yields the following rate: Peak Off Peak Demand ($/kW/ 1.46 month) 3.63 Energy 29.73 ($/MWh) 51.26 Customer: $1,000/month 72 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation (cont’d) ♦ Customer Charge • If revenue reconciliation is small, a customer charge adjustment may be sufficient. For residential class the over-collection is ≈ $10.5M. Dividing this by the billing units yields a customer charge reduction $2.57/month and, thus, an adjusted customer charge of $11.61/month. ♦ Equiproportional Adjustment • For the commercial class, marginal cost-based rate revenues exceed the revenue requirement by ≈ $17.9M or ≈ 7.5%. This, all elements of the rate would be reduced by 7.5%. 73 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Revenue Reconciliation (cont’d) When a new rate structure or rate is introduced, customers respond by changing their loads. Utilities can account for the anticipated load changes in the billing determinants or through an adjustment account, much like a fuel adjustment clause, that restores revenues back to target levels. For reasons that are unknown to me, these are known as revenue repression mechanisms. Such mechanisms typically take one of two forms: ♦ Ex ante • In ex ante mechanisms, the utility attempts to account for the load changes in the billing determinants. ♦ Ex post • Ex post mechanisms attempt to adjust revenues after they have been filed and take effect. These two approaches can be combined. For example, a utility can implement a dynamic pricing program which, perhaps based on pilot information, attempts to account for customer response and which also has a periodic tune-up mechanism, perhaps a balancing account, which makes the utility whole between rate cases. 74 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Ex Ante Revenue Repression Residential consumption (annual kWh) Peak period Off-peak period TOTAL 542,802,800 361,369,200 904,172,000 Assumed consumption shift (5%) Adjusted peak Adjusted off-peak TOTAL 515,662,660 388,509,340 904,172,000 Allocated residential expenses (preadjustment) Period Peak Off-peak TOTAL Costs $24,968,929.00 $7,950,122.00 $32,919,051.00 Allocated residential expenses (post-adjustment) Peak $24,751,808.00 Off-peak $7,770,187.00 TOTAL $32,521,994.00 Unit Costs ($/kWh) 0.046 0.022 0.036 0.046 0.022 0.036 In this example, the initial assumed flat rate is $0.036/kWh. The time differentiated rate is $0.046/kWh on-peak and $0.022/kWh off-peak. The example also assumes that there will be a shift in consumption from on-peak to the off-peak period of 5%. This is based on assumed on-peak price elasticity of: -0.18 = -0.05/0.28 where 0.28 = (0.46 – 0.36)/0.36 i.e., the percentage change in rates going from the flat rate to the on-peak rate. Note that the implied off-peak price elasticity is only -0.08. 75 8. Reconciling Marginal Cost-Based Rates with Revenue Requirements – Ex Post Revenue Repression Generally, these are the steps in an ex post revenue repression mechanism: ♦ After the rate is in effect, utility compares revenues collected with anticipated revenues using billing determinants ♦ Utility calculates the difference between actual and expected and places this in adjustment pool ♦ Periodically, say every quarter, utility adjusts rate components for the increase/decrease in adjustment pool Ex Post Revenue Repression Adjustment Peak 1. Expected consumption (kWh) 2. Expected revenue ($) 3. Actual consumption (kWh) 4. Actual revenue ($) 5. Adjustment pool (2)-(4) ($) 6. Pool per kWh (5)/(3) ($/kWh) 7. Base rate (per kWh) 8. Adjustment clause (6) Off-Peak Total 542803800 361869200 904673000 $24,968,975.00 $7,950,122.00 $32,919,097.00 515663610 389009390 904673000 $23,720,526.00 $8,558,206.00 $32,278,732.00 $1,248,449.00 -$608,084.00 $640,365.00 $0.004 -$0.002 $0.046 -$0.022 $0.002 -$0.002 - 76