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  • 8/3/2019 Levelized Cost of Energy Calculation_BV_EN

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    1:1: LevelizedLevelized Cost of EnergyCost of Energy

    CalculationCalculationMethodology and Sensitivity

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    What is LCOE?Levelized Cost of Energy (LCOE) is the constant unit cost (per kWhor MWh) of a payment stream that has the same present value as the

    total cost of building and operating a generating plant over its life.

    Initial Investment and Annual Costs

    LCOE

    $0

    $250,000

    $500,000

    $750,000

    $1,000,000

    0 2 4 6 8 1 0 1 2 1 4 1 6 1 8 2 0

    Year

    A n n u a l

    C o s t

    ( $ )

    $50

    $75

    $100

    $125

    $150

    L C

    O E ( $ / M W h )Equity Investment

    Debt ServiceOperating ExpensesTaxesLCOE

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    Why Use LCOE?

    Very useful in comparing technologies with differentoperating characteristics

    LCOE Range based on Capacity Factor Range

    0 0.5 1 1.5 2

    Wind - Onshore

    Wind - OffshoreShallow

    Wind - Offshore Deep

    Solar PV

    Solar Thermal

    Levelized Cost of Energy (RMB/kWh)

    Typically, LCOEs arecalculated over 20 to 40

    year life, and are givenin the units of currency

    per kWh or MWh

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    Different Ways to Calculate LCOE.

    Simplified LCOE Approach1. Using a discount rate i , the capital

    recovery factor ( CRF ) is:

    CRF =

    2. The sLCOE is the minimum price atwhich energy must be sold for anenergy project to break even (orhave present value of zero)

    sLCOE =

    Discount rate

    Used to convert futurecosts to present value.

    Typically based on marketinterest rates or weightedcost of capital (WACC),with or without adjustmentsfor risk and uncertainty.

    Can vary depending on the

    entity.Can be Real or Nominal

    [(capital cost * CRF)+ fixed O&M cost]

    (8.76 * capacity factor)+ (variable O&M cost * output )

    i(1 + i) n

    [(1 + i) n ]-1

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    Different Ways to Calculate LCOE.Financial Model Approach

    Financial model that solves forthe required revenue (LCOE) toachieve a certain internal rate ofreturn (IRR).

    Captures impacts of taxincentives and depreciation.

    Captures more complexfinancing assumptions andrevenue requirements for an IPP

    Cost of Generation CalculatorAll inputs are in blue .

    Technology Assumptions Financial/Economic AsumptionsProject Capacity (MW) 1 Debt Percentage 50%Capital Cost ($/kW) $2,000 Debt Rate 8.00%Fixed O&M ($/kW) $50 Debt Term (years) 15Fixed O&M Escalation 2.5% Economic Life (years) 25

    Variable O&M ($/MWh) $0 Percent 5-year MACRS 0%Variable O&M Escalation 2.5% Percent 7-year MACRS 0%Fuel Cost ($/MBtu) $0 Percent 15-year MACRS 0%Fuel Cost Escalation 2.5% Percent 20-year MACRS 100%Heat Rate (Btu/kWh) 0 Energy Price Escalation 0.0%Capacity Factor 35% Tax Rate 50%Misc Revenue ($/MWh) $0 Cost of Equity 14.00%Misc Escalation 2.5% Discount Rate 9.000%Degradation 1%

    Year 0 1 2 3 4 5

    Annual Generation (MWh) 3,066 3,035 3,005 2,975 2,945LCOE $139.35 $139.35 $139.35 $139.35 $139.35Misc Revenue $0.00 $0.00 $0.00 $0.00 $0.00Total Operating Revenu $427,249 $422,976 $418,746 $414,559 $410,413

    Fixed O&M $50,000 $51,250 $52,531 $53,845 $55,191Variable O&M $0 $0 $0 $0 $0Fuel Cost $0 $0 $0 $0 $0Operating Expenses $50,000 $51,250 $52,531 $53,845 $55,191

    Interest Payment $80,000 $77,054 $73,872 $70,435 $66,723Principal Payment $36,830 $39,776 $42,958 $46,395 $50,106Debt Service $116,830 $116,830 $116,830 $116,830 $116,830

    Tax Depreciation - 5 $0 $0 $0 $0 $0Tax Depreciation - 7 $0 $0 $0 $0 $0Tax Depreciation - 15 $0 $0 $0 $0 $0Tax Depreciation - 20 $75,000 $144,380 $133,540 $123,540 $114,260Taxable Income $222,249 $150,292 $158,804 $166,739 $174,239PTC $0 $0 $0 $0 $0Taxes $111,124 $75,146 $79,402 $83,370 $87,120

    Total (1,000,000) 149,295 179,750 169,984 160,515 151,273

    S A M P

    L E F I N

    A N C I A

    L

    M O D E

    L

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    Real or Nominal LCOE?1. Real LCOE (2010 RMB/kWh) Constant stream of values denoted in todays

    currency (Real)

    2. Real LCOE (with Inflation) (RMB/kWh) Nominal path that maintains Realvalue constant (Nominal)

    3. Nominal LCOE (RMB/kWh) Constant stream of values in nominal currency.(Nominal)

    Nominal vs. Real LCOE

    2.) Real LCOEwith Inflation

    (Nominal)

    3.) Nominal LCOE

    1.) Real LCOE(2010RMB)

    0.40

    0.50

    0.60

    0.70

    0.80

    0.90

    1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0

    Year

    N o m

    i n a l ( R M B / k W h )

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    R e a

    l ( 2 0 1 0 R M B / k W h )

    Inflation = 2.5%

    Discount Rate = 10%

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    Real or Nominal LCOE?

    Real LCOE

    Removes effects of inflationassociated with O&M and fuelcosts

    Uses Real Discount Rate

    Analogous to the Year 1 price ofa PPA/FIT that increases withinflation each year.

    Preferred by government/policymakers

    Nominal LCOE

    Incorporates assumptionsregarding inflation

    Uses Nominal Discount Rate

    Analogous to a PPA/FIT pricethat is the constant each year orflat across economic life ofproject.

    Preferred by developers/projectowners

    Either LCOE is acceptable, but must be clearly communicated.

    Example: Real LCOE = 0.50 RMB/kWh and Nominal LCOE = 0.59 RMB/kWh

    With 2.5% inflation, Nominal LCOE is 18% higher than Real LCOE

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    General Inputs to LCOE Calculation

    Determine representative size of

    projects and locations toestimate remaining project-related inputs

    For example, 10 MW wind farm

    vs. 200 MW wind farm

    Establish boundaries of system

    Capital, O&M, fuel cost

    Performance/resourcecharacteristics

    Cost of capital (debt/equity) anddiscount rate

    Taxes, depreciation and taxincentives (if applicable)

    Inflation (optional)Transmission/integration costs(optional)

    Externality costs (optional)

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    Making Good Assumptions

    Use current data (preferably within the past year)

    Take the median of data sources

    Apply method of developing assumptions consistently

    across technologiesSurvey market participants

    Reflect tax conditions and incentives in the country

    Discuss and agree upon assumptions through stakeholdermeetings

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    Sample Base Case Assumptions and LCOE

    1.6628%30030,000Solar CSP1.7215%20020,000Solar PV0.5440%2509,000

    OnshoreWind

    LCOE(RMB/kWh)

    CapacityFactor

    O&M(RMB/kW-yr)

    Capital Cost(RMB/kW)

    8%WACC2.5%O&MEscalation

    30%Tax Rate20 yearsTax Life forDepreciation

    10%Discount Rate20 yearsEconomic Life

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    Sensitivity of LCOE to Assumptions

    LCOE of renewable energy can be highly sensitive to inputassumptions

    Different assumptions can change LCOE by 50% or more.Some of the key assumptions are:

    Capacity factor (performance)

    Weighted Cost of capital (WACC)

    Capital cost

    Important to select assumptions in a consistent manneracross technologies

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    Sensitivity of LCOE (Busbar Cost) to Assumptionsfor WindOnshore Wind LCOE Sensitivity

    20%

    6%

    7,200

    200

    30%

    8%

    9,000

    250

    40%

    12%

    10,800

    300

    -0.2 -0.1 0.0 0.1 0.2 0.3

    O&M (RMB/kW)

    Capital Cost (RMB/MW)

    Costequity-WACC

    Capacity Factor

    LCOE relative to Base Case (RMB/kWh)

    0.3 0.4 0.5 0.6 0.7 0.8

    Absolute LCOE (RMB/kWh)

    Low High

    Base Case

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    Sensitivity of LCOE (Busbar Cost) to Assumptionsfor Solar PVSolar PV LCOE Sensitivity

    6%

    16,000

    16%

    160

    8%

    20,000

    18%

    200

    12%

    24,000

    20%

    240

    -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6

    O&M (RMB/kW)

    Capacity Factor

    Capital Cost (RMB/MW)

    Cost equity-WACC

    LCOE re lative to Base Case (RMB/MWh)

    1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3

    Absolute LCOE (RMB/kWh)

    Low High

    Base Case

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    Sensitivity of LCOE (Busbar Cost) to Assumptionsfor Solar CSPSolar CSP LCOE Sensitivity

    240

    26%

    24,000

    6%

    300

    28%

    30,000

    8%

    360

    30%

    36,000

    12%

    -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    O&M (RMB/kW)

    Capacity Factor

    Capital Cost (RMB/MW)

    Costequity-WACC

    LCOE re lative to Base Case (RMB/kWh)

    1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4

    Absolute LCOE (RMB/kWh)

    Low High

    Base Case

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    Cost vs. Value Concepts for LCOE

    Busbar Cost

    +

    Transmission Cost

    +Integration Cost

    -Capacity Value

    -Energy Value

    Busbar Cost

    Delivered Cost

    Adjusted DeliveredCost

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    Summary

    LCOE is the constant unit cost (per kWh or MWh) of a

    payment stream that has the same present value as thetotal cost of a generating plant over its life.

    There are multiple ways to calculate LCOE, depending on

    the level of financial detailLCOE can be Real or Nominal

    Establishing boundaries of each system for assumptions is

    importantAssumptions can have significant impact on the resultingLCOE, so consistent assumptions across technologies are

    important