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LBE5010 Renewable Energies and Energy Planning
Prof. Paulo Seleghim Jr.Universidade de São Paulo
Techno-Economical Analysis of Energy Generation Power Plants
FOSSIL ENERGY SOURCES
RENEWABLE ENERGY SOURCES
displacementtechno-economical
competition
Techno-Economical Analysis of an Investment Project
Capital Budgeting
Development of an engineering project
Project: Conceptual
AnalysisExecutive
Execution: Implementation
CommissioningOperation
Economic sustainability:
success as a product and as an investment project
Economic Engineering: application of techno-
economical analysis tools to to the engineering projectaiming at identifying the best choice between
excluding alternatives…
Case Study:
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
Development of an engineering project
Solar
Thermal ?
– A) Queiroz Galvão
• Complexo Caldeirão Grande
• 415.8 MW - 2016/2017 (ACL)
– B) Chesf/ContourGlobal/Casa dos Ventos
• Complexo Picos
• 205.1 MW Set/2015
– C) Casa dos Ventos
• Complexo Ventos do Araripe
• 210 MW set/2015
– D) Chesf/ContourGlobal/Casa dos Ventos
• Complexo Ventos do Araripe I I
• 172,4 MW Jan/2016
– D') Casa dos Ventos
• Complexo Ventos do Araripe I I
• 59,2 MW Jan/2016
– E) Casa dos Ventos
• Complexo Ventos do Araripe I I I
• 234.6 MW Mai/2018
Chapada do Araripe
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
Staaken a 20km de Berlin
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
Staaken a 20km de Berlin
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
70%
4MW
30%
Werneuchen, 18.87 MWp
19MWp
Staaken a 20km de Berlin
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
Capital to be invested
(CAPEX) from which it is expected some revenue
(investment fund, etc.)
R$ 1 billion
Alternative: acquisition of
government bonds (public debt, etc.) at fixed interest rates,
having the same redemption term and virtually no risk
R$ 1 billion
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
Financial temporal simulation of the power plant, including expenditures occurring at the design and execution phases, as well as revenues and costs during the operation phase during the entire lifespam
R$ 1 bilhão
Cash flowR$ 1 bilhão(capital budgeting)
Development of an engineering project
Case study: decision about investing R$ 1 billion in a
photovoltaic power plant or in a wind farm (both greenfield)
I temized Investment Cost of and Ethiopian Wind project
Development of an engineering project
CAPEX
time
project commissioning
cash flow($/t)
Cashflow analysis: expenses and incomes
revenues
CAPEX
time
project commissioning
cash flow($/t)
Cashflow analysis: expenses and incomes
fixed costs
revenues
CAPEX
time
project commissioning
cash flow($/t)
Cashflow analysis: expenses and incomes
OPEX
fixed costs
revenues
CAPEX
time
project commissioning
cash flow($/t)
Cashflow analysis: expenses and incomes
time
accumulatedcash flow
Accumulated cashflow:
project success
end of lifespanbusiness success
death valley
beginning ofsenescence
increase in operation costs due to equipment
depreciation
Accumulated cashflow:
time
accumulatedcash flow
cost
benefit
maximuminvestment
payback
break-even
Accumulated cashflow: characterization parameters
time
accumulatedcash flow
Parâmetros do fluxo acumulado – saldo do projeto
150bar boiler
67bar boiler
50MWsurplus
60MWsurplus
CAPEX Revenues
time
accumulatedcash flow
Which one is better?
Wind
Photo
R$ 1 billion
time
accumulatedcash flow
Objective decision criteria…
time
accumulatedcash flow
payback
Payback:• Liquidity, less exposure to risks• disregards revenues after payback• disregards temporal value of money
cost
benefit
maximuminvestment
payback
benefit / cost:expresses how much benefit can be obtained form each unit of value invested…• disregards temporal value of money
Objective decision criteria…
time
accumulatedcash flow
Payback:• Liquidity, less exposure to risks• disregards revenues after payback• disregards temporal value of money
Temporal Value of Money
Internal Rate of Return
R$100,00
R$65,00R$50,00
R$0,00
R$100,00
R$20,00R$30,00
R$0,00
R$70,00
Project A
R$100,00
R$115,00
R$100,00
R$120,00
ano1 ano2 ano3
ano1 ano2 ano3 ano4
3 years
4 years
Project B
R$0,00
ano4
Return of R$ 15 in 3 years or return of
R$ 20 in 4 years ???????
Which one is better?
Temporal value of money
R$100,00
Reference:
5% per annum
at virtually no
risk (example)
Temporal value of money
R$100,00
Reference:
5% per annum
at virtually no
risk (example)
R$105,001,05
future value
(year 1)
Temporal value of money
R$100,00
Reference:
5% per annum
at virtually no
risk (example)
R$105,00 R$110,251,05 1,05
future value
(1 year)
future value
(year 2)
Temporal value of money
R$100,00
Reference:
5% per annum
at virtually no
risk (example)
R$105,00 R$110,25 R$115,761,05 1,05 1,05
future value
(1 year)
future value
(year 2)
future value
(year 3)
Temporal value of money
R$100,00
Reference:
5% per annum
at virtually no
risk (example)
R$105,00 R$110,25 R$115,761,05 1,05 1,05
n)r(PVFV += 1
future value
(1 year)
future value
(year 2)
future value
(year 3)
R$86,38 R$90,70 R$95,24 R$100,001,051,051,05
Temporal value of money
Reference:
5% per annum
at virtually no
risk (example)
n)r(FVPV −+= 1
present value
(1 year)
present value
(year 2)
present value
(year 3)
Temporal value of money: expenses and incomes
=k
kPVNPV
cashflow
R0 R1
R2R3
R5
R4
R6R7
R8 R9 R10
D0
D1
D2 D3
D5D4D6
D7
D8D9 D10
= +
−=
N
kk
kk
)r(
DRNPV
0 1
• Rk are incomes @ k-th period• Dk are expenses @ k-th period
• r is the discount rate reflecting
the opportunity cost
Spreadsheet formulae...
Spreadsheet formulae...
NPV: limitations
Net Present Value: limitations
Project A
Initialinvestment
R$ 10 milions
NPV = R$ 2 millions
Project B
InitialinvestmentR$ 2 billions
NPV = R$ 3 millions
Execute B because VPLB > VPLA, however ...
R$100,00
R$65,00R$50,00
R$0,00
R$100,00
R$20,00R$30,00
R$0,00
R$70,00
Project A
ano1 ano2 ano3
ano1 ano2 ano3 ano4
Project B
R$0,00
ano4= +
−=
N
kk
kkA
)r(
DR)r(NPV
0 1
= +
−=
N
kk
kkB
)r(
DR)r(NPV
0 1
Variation of the NPV in function of the discount rate…
5,9%
5,2%
FC_A
100,00-R$
-R$
65,00R$
50,00R$
-R$
FC_B
100,00-R$
-R$
20,00R$
30,00R$
70,00R$
= +
−=
N
kk
kkA
)r(
DR)r(NPV
0 1
= +
−=
N
kk
kkB
)r(
DR)r(NPV
0 1
Variation of the NPV in function of the discount rate…
NPV
B
A
execute A(greater NPV)
referential discount rate (opportunity cost)
r
Variation of the NPV in function of the discount rate…
NPV
B
A
execute B(greater NPV)
execute A(greater NPV)
referential discount rate (opportunity cost)
r
Variation of the NPV in function of the discount rate…
How to evaluate the
opportunity cost by
setting the discount rate ?
Variation of the NPV in function of the discount rate…
26/07/2017:
9,25 % a.a.
NPV
B
A
r
Variation of the NPV in function of the discount rate…
Viability limit: the discount rate above which the
project is no longer
economically viable
B
A
0= )r(NPVr 0)TIR1(
DRN
0kk
kk =+
−
=
r
NPV
Variation of the NPV in function of the discount rate…
IRR – Internal Rate of Return
IRRA > IRRB → A is more resiliente than B
B
A
IRR – Internal Rate of Return
r
NPV
Variation of the NPV in function of the discount rate…
Techno-Economical Analysis of an Investment Project
Capital Budgeting
Capital
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
Capital
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
CAPEX/OPEX
Capital
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
CAPEX/OPEX
Capital
Cash Flow
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
CAPEX/OPEX
Capital
Cash Flow
Decision Parameters
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
CAPEX/OPEX
Capital
Cash Flow
Decision Parameters
Execution
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
CAPEX/OPEX
Capital
Cash Flow
Decision Parameters
Execution
Techno-Economical Analysis of an Investment Project (Capital Budgeting):
Engineering Project
Decision Parameters
CAPEX / OPEX
Obs.: solar thermal
Wind power plants: CAPEX/OPEX
Current LCOE
Blade
Controls/Sensors
Drivetrain
Generator
Electrical
Tower
Pitch System
Foundation
Nacelle
Pitch Control
Condition Monitoring
SCADA
Yaw System
Castings/Forgings
Systems
Yaw Control
2025 LCOE2
5%
redu
ction
in C
AP
EX3,75 ¢/kWh
4,50 ¢/kWh
2%
3%
2%
2%
1%
2%
1%
1%
1%
2%
2%
2%
1%
1%
1%
1%
y = 1,4752x
0
200
400
600
800
1000
1200
1400
0 100 200 300 400 500 600 700 800 900
Cu
sto
(M
US$
)
potência instalada (MW)
Wind power plants: CAPEX/OPEX
características típicas usina solar fotovoltaica unidade
insumo energético primário vento -
capacidade instalada típica 28,00 MWp
FECC Nordeste 35,00 %
Tempo médio de implantação 18 meses
utilização de mão de obra baixa -
Qualificação da mão de obra alta -
característica de operação intermitente -
custo dos insumos baixo -
custo operacional médio -
emissão GEE baixa -
grau de maturidade tecnológica TRL9 -
parâmetros valor unidade
custo capital 3,23 kR$/kW
custo operacional 7,91 R$/kW/mês
venda eletricidade (13/12/2013) 120,37 R$/MWh
Wind power plants: CAPEX/OPEX
características típicas usina solar fotovoltaica unidade
insumo energético primário vento -
capacidade instalada típica 28,00 MWp
FECC Nordeste 35,00 %
Tempo médio de implantação 18 meses
utilização de mão de obra baixa -
Qualificação da mão de obra alta -
característica de operação intermitente -
custo dos insumos baixo -
custo operacional médio -
emissão GEE baixa -
grau de maturidade tecnológica TRL9 -
parâmetros valor unidade
custo capital 3,23 kR$/kW
custo operacional 7,91 R$/kW/mês
venda eletricidade (13/12/2013) 120,37 R$/MWh
depreciation
Wind power plants: CAPEX/OPEX
R$ 1 billion → 310 MWp
35%
310 GWp → 108 MW
108 MW → 0,85 MR$/month
108 MW → 9,33 MR$/month
Wind power plants: CAPEX/OPEX
month/$MR,month
h
MWh
$RMW 339
3024120108 =
cash flow($/month)
CAPEX
1º
mo
du
le
2º
mo
du
le
3º
mo
du
lemonth 18
m 12m 6
0,85 MR$/month
9,33 MR$/month
1 GR$/18 months
OPEX
revenues
35 years
Wind power plants: cash flow
0,85*f( T ) MR$/mês
depreciation
cash flow($/month)
CAPEX
1º
mo
du
le
2º
mo
du
le
3º
mo
du
lemonth 18
m 12m 6
9,33 MR$/month
1 GR$/18 months
OPEX
revenues
35 years
Wind power plants: cash flow
+=N
nd185,0Dn
Photovoltaic power plants: CAPEX/OPEX
Photovoltaic power plants: CAPEX/OPEX
Photovoltaic power plants: CAPEX/OPEX
y = 11,034x
0
200
400
600
800
1.000
1.200
1.400
1.600
1.800
2.000
0 20 40 60 80 100 120
Cu
sto
(M
US$
)
potência instalada (MW)
Photovoltaic power plants: CAPEX/OPEX
características típicas usina solar fotovoltaica unidade
insumo energético primário luz solar -
capacidade instalada típica 40,00 MWp
FECC Nordeste (5) 30,00 %
Tempo médio de implantação 36 meses
utilização de mão de obra baixa -
Qualificação da mão de obra alta -
característica de operação intermitente -
custo dos insumos baixo -
custo operacional médio -
emissão GEE baixa -
grau de maturidade tecnológica TRL8 -
parâmetros valor unidade
custo capital (30MW) (1) (2) (3) 13,31 kR$/kW
custo capital (300MW) (1) (2) (3) 11,25 kR$/kW
custo capital (60MW) (1) (2) (3) 13,08 kR$/kW
custo operacional (1) 6,93 R$/kW/mês
venda eletricidade (4) 215,12 R$/MWh
Photovoltaic power plants: CAPEX/OPEX
características típicas usina solar fotovoltaica unidade
insumo energético primário luz solar -
capacidade instalada típica 40,00 MWp
FECC Nordeste (5) 30,00 %
Tempo médio de implantação 36 meses
utilização de mão de obra baixa -
Qualificação da mão de obra alta -
característica de operação intermitente -
custo dos insumos baixo -
custo operacional médio -
emissão GEE baixa -
grau de maturidade tecnológica TRL8 -
parâmetros valor unidade
custo capital (30MW) (1) (2) (3) 13,31 kR$/kW
custo capital (300MW) (1) (2) (3) 11,25 kR$/kW
custo capital (60MW) (1) (2) (3) 13,08 kR$/kW
custo operacional (1) 6,93 R$/kW/mês
venda eletricidade (4) 215,12 R$/MWh
depreciation
Photovoltaic power plants: CAPEX/OPEX
89 GWp → 27 MW
R$ 1 billion → 89 MWp
30%
27 MW → 0,185 MR$/month
27 MW → 4,18 MR$/month
month/$MR,month
h
MWh
$R,MW 184
30241221527 =
Photovoltaic power plants: CAPEX/OPEX
cash flow($/month)
CAPEX
1º
mo
du
le
2º
mo
du
le
3º
mo
du
le
m 12m 6
0,185 MR$/m
4,18 MR$/month
1 GR$/36 months
OPEX
revenues
35 years
m 18 m 24
month 36
m 30
4º
mo
du
le
5º
mo
du
le
6º
mo
du
le
Photovoltaic power plants: cash flow
0,185*f( T) MR$/monthOPEX
cash flow($/month)
CAPEX
1º
mo
du
le
2º
mo
du
le
3º
mo
du
le
m 12m 6
4,18 MR$/month
1 GR$/36 months
revenues
35 years
m 18 m 24
month 36
m 30
4º
mo
du
le
5º
mo
du
le
6º
mo
du
le
Photovoltaic power plants: cash flow
depreciation
+=N
nd185,0Dn
Analysis of the Investment Projects (Capital Budgeting)
depreciação 2
taxa de desconto 0,54% ao mês
VPL -401,50MR$
TIR 0,23% ao mês
TIR 2,77% ao ano
Benefício/Custo 0,6632R$/R$
-1.500,00
-1.000,00
-500,00
0,00
500,00
1.000,00
0 100 200 300 400 500
Acumulado (MR$)
depreciação 5
taxa de desconto 0,54% ao mês
VPL 42,20MR$
TIR 0,65% ao mês
TIR 7,81% ao ano
Benefício/Custo 1,1274R$/R$
-1.500,00
-1.000,00
-500,00
0,00
500,00
1.000,00
1.500,00
2.000,00
0 100 200 300 400 500
Acumulado (MR$)
DECISION: WIND. However...
Analysis of the Investment Projects (Capital Budgeting)
depreciação 2
taxa de desconto 0,54% ao mês
VPL -401,50MR$
TIR 0,23% ao mês
TIR 2,77% ao ano
Benefício/Custo 0,6632R$/R$
-1.500,00
-1.000,00
-500,00
0,00
500,00
1.000,00
0 100 200 300 400 500
Acumulado (MR$)
depreciação 5
taxa de desconto 0,54% ao mês
VPL 42,20MR$
TIR 0,65% ao mês
TIR 7,81% ao ano
Benefício/Custo 1,1274R$/R$
-1.500,00
-1.000,00
-500,00
0,00
500,00
1.000,00
1.500,00
2.000,00
0 100 200 300 400 500
Acumulado (MR$)
Photovoltaics at the 10/2014 bid:
202 MWp @ R$ 215,12 / MWh
diversification of energy sources
Tax incentives,
exemption from taxes for equipment,
differentiated tariffs, etc.
R$ 100 / MWh
Installed capacity in MW
Streaming = www.youtube.com/c/pseleghim/live
Next class: conversion of thermal energy