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Advanced Power Systems

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Title: Advanced Power Systems


1
Advanced Power Systems
  • ECE 0909.402-02, 0909.504-02
  • Lecture 7 Distributed Generation Energy
    Economics
  • 5 March 2007
  • Dr. Peter Mark Jansson PP PE
  • Associate Professor Electrical and Computer
    Engineering

2
Aims of Todays Lecture
  • Cover other Current Topics
  • Upcoming FE Exam registration deadlines
  • Mid Term Exam 19 Mar
  • APS Final Project Options
  • Overview of Chapter 4 5 concepts
  • Finish Up Distributed Generation Technologies
  • Introduce Economics of Energy Systems

3
Aims of Todays Lecture (cont)
  • Stretch Break
  • Finish Chapter 5 and Engineering Economics of
    Investments
  • Next Week
  • Have a Safe and Restoring Spring Break

4
FE Examination Announcement
  • The College of Engineering strongly recommends
    students sitting for the Fundamentals of
    Engineering (FE) exam. There is a July 3rd
    application deadline for sitting in the FE exam
    given on October 27.  However, we urge you to get
    your application completed much earlier than the
    July 3rd deadline, and preferably in late March
    or early April. It will be easier to locate
    faculty members for references before summer
    begins, and there will be more leeway to fix
    issues that may arise.
  • Please contact the persons above if you have any
    questions. More information on application fees
    and exam dates can also be found on the website
  • http//www.state.nj.us/lps/ca/pels/pelsfees.htm
  • The application form and instructions can be
    found at the following website 
  • http//www.state.nj.us/lps/ca/pels/pelsinfo.htm

5
APS Mid Term Exam
  • Last half of period Monday 19 March 2007
  • Exam Topics Covered
  • Lectures 1-7 (including AIC and last weeks
    Teleconference Lecture and Meeting)
  • Chapters 1-5
  • HW 1-6
  • Articles Researched and Reviewed
  • Recommended Study above and LCs

6
APS Final Project (30)
  • Select Teams (2 max per team for UGs Grad Only
    1 pp)
  • To get an A select a APS and a specific site /
    get approval for scope by 19 March 2007 (HW 6)
  • Sample Projects
  • Wind Farm Potential for 1200 acres in Cumberland
    County
  • PV system design for Dr. Janssons Pitman
    Home/Garage
  • Wind turbines for Berkeley Township, Ocean County
  • Offshore Wind System design (Del Bay or Atl Ocean
    off AC)
  • Fuel cell for Rowan campus building
  • Microturbine/Cogen system for local industry
  • Micro-Hydroelectric facility for Farm in Pa.
  • Solar Concentrator in desert southwest

7
Final Project Content
  • All APS projects must include
  • Specific site collect data on energy use, and
    other key site information critical for effective
    design of your advanced power system.
  • Detailed advanced power system design
    specifications, size, model, equipment, plans,
    interconnection, alternatives considered, etc.
  • Cost benefit analysis SPB, SIRR, NPV, IRR,
    NPV/IRR w/ fuel escalation and cash flow.

8
Final Project Format
  • (Team) Technical Paper (10)
  • 6 pages maximum (4,000 - 6,500 words)
  • 2 column technical paper IEEE format
  • Due 16 April 2007 (A max), 23 Apr (B max), 30 Apr
    (C max)
  • 25 - minute (Team) Presentation (20)
  • 22 minutes of Slides/Demo etc. (min 30 slides)
  • 3 minutes QA
  • Random date selection

9
Microturbines
  • Very small gas turbines (NG or waste gas)
  • Typically 500 W to 300 kW
  • Typical Microturbine Components
  • Compressor
  • Turbine
  • P-M generator
  • Combustion chamber
  • Heat exchanger (recuperator)

Often all on one shaft
10
Leading Manufacturers
  • Capstone Turbine Corporation
  • One moving part common shaft 96,000 rpm
  • C30 - 30 kW unit
  • ? LHV 26, Heat Rate 13,100 Btu/kWh
  • C60 - 60 kW unit
  • ? LHV 28, Heat Rate 12,200 Btu/kWh
  • Elliot Microturbines
  • TA100R - 105 kW unit
  • ? LHV 29, Heat Rate 11,770 Btu/kWh
  • 172 kW thermal potential for hot water ? TTE gt
    75

11
Leading Mfgrs. (continued)
  • Ingersoll Rand
  • Design Life 80,000 hours with overhauls
  • MT250 - 250 kW unit
  • ? LHV 30, Heat Rate 11,380 Btu/kWh
  • MT70 - 70 kW unit

12
Elliot Microturbine Application
  • The Elliot TA 100A produces its full output of
    105 kW when burning 1.24 x 106 Btu/hr of natural
    gas. Its waste heat is used to supplement an
    existing boiler by raising its temperature from
    120 -140 oF. It operates for 8000 hours/year.
  • A) If 47 of the fuel is transferred to boiler
    what should the waters flow rate be?
  • B) If boiler is 75 efficient and NG is 6 per
    MMBtu how much money will microturbine save in
    displaced fuel?
  • C) If electric costs 8 / kWh what is annual
    savings?
  • D) If OM is 1,500 per year what are net
    savings?
  • E) If microturbine costs 220,000 what is Initial
    RR and SPB?

13
LM 1
  • A) If we can not use the waste heat is it
    economical to install a microturbine in this
    application?
  • (assume you require lt 10 yr Simple Payback)
  • B) What if your electric costs are 11 / kWh?
  • C) What is lowest price electricity can be to
    still meet your 10 yr simple payback requirement?

14
Microturbines in CHP applications rules of
thumb
  • Electric Production ? E 29
  • Waste-heat Recovery ? WH 47
  • Overall LHV conversion efficiencies can be gt 75

15
Reciprocating IC Engines
  • Very small piston-driven, 4 stroke ICEs
  • Typically 500 W to 6,500 kW
  • Typical Operation
  • Intake, Compression, Power, Exhaust
  • Spark ignited (Otto cycle)
  • Compression ignition (Diesel cycle)
  • Multi-fuel gasoline, natural gas, kerosene,
    propane, fuel oil, alcohol, waste gas

16
Advanced Reciprocating Engines
  • Current design is cheapest of all DGs
  • Efficiencies are good
  • Today electrical ? 37-40
  • Turbocharged Thermal fuel ? horsepower
  • Otto cycle ? LHV 41, ? HHV 38
  • Diesel cycle ? LHV 46, ? HHV 44
  • ARES Targets ? ELECTRIC 50, ? CHP 80
  • HRSG can increase overall ? CHP 85

17
Stirling Engines
  • Energy is supplied from outside the system
  • External combustion, can run on any heat source
  • Invented in Scotland and patented in 1816
  • Used quite extensively until early 1900s
  • Eliminated from market by efficient technologies
  • Current efficiencies relatively low lt 30
  • Size ranges from 1 25 kW
  • No explosions, relatively quiet devices
  • Good match with solar dishes
  • Four states of Transition in Stirling Cycle

18
Concentrating Solar Power
  • Solar Dish / Stirling Power Systems
  • Parabolic Trough Systems
  • Solar Central Receiver
  • Disadvantages All these technologies require
    direct solar beam radiation. Many regions of the
    US have a large fraction of diffuse solar
    radiation

19
Solar Dish / Stirling Power System
  • Multiple mirrors concentrate sun to one pt
  • Thermal receiver converts sunlight to heat
  • Heat is delivered to Stirling engine
  • Stirling engine drives electrical generator
  • ? 20 typical, ? 30 peak
  • Sterling engine in this 725 oC application gt 36
  • Potential stand-alone power plants
  • Still have very high capital costs and electricity

20
Solar Dish Sterling
21
SES site
  • http//www.stirlingenergy.com/whatisastirlingengin
    e.htm

22
Solar Parabolic Troughs
  • Parabolic reflectors concentrate sun to one tube
  • Stainless steel tube (g-ins) converts light to
    heat
  • Heat transfer fluid delivered to heat exchangers
  • Steam turbine drives electrical generator
  • ? 10 typical, costs 12 / kWh
  • Advanced applications lt 5 / kWh
  • Development ongoing in Spain, Greece, Italy,
    India and Mexico

23
Solar Parabolic Trough
24
Solar Parabolic Trough
25
Solar Central Receivers
  • Multiple computer controlled mirrors concentrate
    sun to one central receiver tower
  • Central receiver (Power Tower) converts sunlight
    to heat
  • Heat is delivered to Steam Generator
  • Solar One Water/steam system not well matched
  • Solar Two Molten nitrate salts (97 match)
  • Extremely high capital costs to prove economics

26
Solar Two
27
Solar Two
28
Concentrating Solar Power
  • Technology Concentration Ann Effic.
  • Solar Dish Stirling 3000 x 21
  • Solar Power Tower 1000 x 16
  • Parabolic Trough 100 x 14

29
Biomass
  • Current global installed capacity 14 GW
  • Low efficiencies lt 20
  • Wet fuels, low HV, small plants located near fuel
  • High costs 9 / kWh
  • Future Options to reduce costs
  • Co-firing with other fuels (coal)
  • Syngas production via pyrolysis
  • Anaerobic digesters common in wastewater TP

30
LM 2
  • Order these concentrating solar power
    technologies from least to most efficient
  • A) Solar power tower
  • B) Parabolic trough
  • C) Solar dish Stirling

31
Micro-Hydropower
  • 19 of worlds electricity today is hydro
  • Many countries in S. America and Africa are gt90
    hydro
  • Typically Hydro plants are above 30 MW
  • Micro-hydro is lt 100 kW
  • Run-of-the-river
  • No expensive dam construction
  • Penstock (pipeline) delivers water under pressure
    to a turbine generator lower down

32
Micro-hydropower
33
Micro-hydropower potential
  • Three types of energy
  • Potential z (height m or feet)
  • Pressure p / ? (pressure / specific weight)
  • Kinetic v2 / 2g (velocity / grav. constant)
  • THEORETICAL POWER (rules of thumb)
  • Power (W) 9810 Q (m3/sec) H (m)
  • Power (W) Q (gpm) H (ft) / 5.3

34
Net Head
  • Net Head (HN) Gross Head Pipe Loss
  • Gross Head elevation
  • Pipe Loss depends on Pipe size and Flow rate (
    see Figure 4.19 p. 199)
  • Assuming a 50 efficient turbine generator
  • P (W) Q (gpm) HN (ft) / 10
  • P (kW) 5 Q (m3/s) HN (m)

35
Example of micro-hydro
  • Assuming a 200 gpm flow rate and a 3-in PVC
    penstock, what is the site potential if it is a
    200 foot run to an elevation 100 feet lower?
  • HG 100 feet
  • Pipe loss 6 ft of head per 100 feet of run (p.
    199)
  • HN 100 (6 x 2) 88
  • P (W) Q x HN / 10 200 x 88 / 10 1.76 kW

36
LM 3 Assess your own site
  • A) How much water must you divert from your
    stream (gpm) to achieve a 2 kW output (assume
    rule of thumb calcs) if the elevation drop on
    your farm is 160 feet and you assume a penstock
    of 300 feet of 3 polypropylene (see page 199)?
  • B) How much would you be saving annually if your
    electric costs are 13 / kWh?

37
Aims of Todays Lecture
  • Part Two Chapter 5 concepts
  • Economics of DG resources
  • Energy Economic Methods SP, ISROR, NPV, IRR, NPV
    and IRR w/ fuel escalation, AI and Cash Flow

38
Economics of Distributed Resources
  • Simple Payback
  • Initial (Simple) Rate of Return
  • Net Present Value (NPV)
  • Internal Rate of Return (IRR)
  • NPV and IRR with Fuel Escalation
  • Annualizing the Investment
  • Cash Flow

39
Simple Payback
  • Extra first cost () / annual savings (/yr)
  • Initial cost () / annual savings (/yr)
  • Units Years, months
  • Example CFLs cost 15 more than their 100 watt
    counterparts but will save 8 per year in the
    application you are considering. What is their
    simple payback?
  • 15 / 8/yr 1.875 years

40
CFL real data
  • Dr Jansson bought the following CFLs at Home
    Depot and Kmart
  • 23 watt CFL (7000 hours) at 4.94 (Kmart)
  • 23 watt CFL (10,000 hours) at 4.22 (Home Depot)
    vs.
  • 100 watt incandescent (1000 hours) at 0.40
  • Assuming he pays 12 cents per kWh and has a
    light in his home that needs these lumens for 3
    hours each day, what is his simple payback?

41
CFL example
  • Initial Cost difference
  • Kmart - 4.94- 0.4 4.54
  • Home Depot - 4.22- 0.4 3.82
  • Lifetime of analysis (assume 10 years _at_ 1096
    hrs/year 10,960 hours)
  • Kmart (10,960/7000) 1.57 lamps
  • Home Depot (10,960/10,000) 1.10 lamps
  • Incandescent (10,960/1,000) 10.96 lamps

42
CFL (cont)
  • Simple Payback (capital only)
  • Kmart CFL ? 1.57 x 4.94 7.76
  • Home Depot CFL ? 1.10 x 4.22 4.62
  • Incandescent ? 10.96x 0.40 4.38
  • Simple Payback (energy savings)
  • Kmart CFL ? 1.096 khrs x 23w 25.2 kWh
  • Home Depot CFL ? 1.096 x 23w 25.2 kWh
  • Incandescent ? 1.096 khrs x 100w 109.6kWh

43
CFL Simple Payback
  • Annual electric savings
  • Either CFL saves 109.6 25.2 kWh /year
  • 84.4 kWh/year _at_ 0.12/kWh 10.13 / year
  • The Kmart Light has a simple payback of
  • 4.54/10.13 0.448 years or 5.3 months
  • The Home Depot CFL has a simple payback of
  • 3.82 / 10.13 0.377 years or 4.5 months

NOTE In neither example did we take into
consideration the lifetime savings of either CFL
to do that we need to consider how long each
will last
44
CFL Lifetime savings
  • Kmart CFL savings compared to Incandescent
  • 7000/1000 hour life saves 7 lamps _at_ 0.4
    2.80
  • Energy savings 7000hrs x (100-23 watts saved)
    539 kWh over life _at_ 0.12/kWh 64.68
  • Total Savings 67.48 - 4.94 62.54
  • Home Depot CFL savings compared to Incandescent
  • 10000/1000 hour life saves 10 lamps _at_ 0.4
    4.00
  • Energy savings 10000hrs x (100-23 watts saved)
    770 kWh over life _at_ 0.12/kWh 92.40
  • Total Savings 96.40 4.22 92.18

45
LM 4 your next PC
  • You are considering a new desktop PC and have all
    the options determined, but there is one energy
    efficient option you want to look into. The
    feature says your PC will save 26 watts (on
    average) if it is installed. The option costs
    19.95. Will you take it if you only keep your
    PCs for two years and your cost of electricity is
    12/kWh? (Assume your PC is used continually and
    you are an economically rational person) Show
    your simple payback calculation and then explain
    why, or why not.

46
Initial (Simple) Rate of Return
  • This calculation is the inverse of simple payback
  • Annual savings (/yr) / extra first cost ()
  • Annual savings (/yr) / initial cost ()
  • Units per year
  • Example 1-kW of PV costs 1800 after rebates but
    makes 1350 kWh per year and earns more than 30
    cents per kWh due to SRECs and electric savings.
    What is the initial (simple) rate of return for
    the system?
  • 405/yr / 1800 22.5 per year

47
Net Present Value (NPV)
  • Considers the fact that money has value today
    which is higher than it will likely be in the
    future. (Inflation is not zero)
  • Consider what an investment P in an account
    earning interest i will be worth
  • P Pi P (1i) next year
  • P Pi (PPi)i P(1i)(1i) the year after
    that
  • In Fact Its Future value F P (1i)n

48
Present and Future Value
  • Future Value Current Sum and interest rate
  • If I give you 700 today how much is it worth in
    five years? (assume you could earn interest of
    4.5)
  • F P (1i)n ? 700(10.045)5 700(1.24618)
  • 872.33

49
Present and Future Value
  • Present Value Future Sum and discount rate
  • If I give you 1000 in 7 years how much is it
    worth today? (assume inflation or the discount
    rate is 5.5)
  • P F / (1i)n ? 1000/(10.055)7
  • 1000/(1.454679)
  • 687.43

50
LM 5
  • Determine the following quantities and say which
    is larger PV of A or FV of B
  • A) 15,000 8 years from now with inflation
    running (or a discount rate of) at 7.0
  • Determine its Present Value
  • B) 6,500 deposited in a CD today that earns 6.1
    interest annually for 5 years
  • Determine its Future Value

51
Net Present Value (NPV)
  • Considers a stream of benefits (/yr) that
    persist for n years (life of device or
    improvement) but will need to be discounted back
    to today.
  • A benefit (/yr), d discount rate, n years

52
NPV example
  • Two 200-HP motors are being considered
  • High-efficiency 155 kW - 5800
  • Normal Efficiency 158 kW - 4800
  • Power costs are 8/kWh, motor runs 1800 hours per
    year. Assume 20-yr life, 10 dr.
  • Which should you buy?

53
NPV example
  • The two motors annual costs
  • High-efficiency 155 kW x 1800 x 0.08 22,320
  • Normal Efficiency 158 kW x 1800 x 0.08
    22,752
  • With a 20-yr life, 10 discount rate
  • PVF (1.1)20 1 / (0.1)(1.1)20
    5.7275/0.67275 8.51
  • Which should you buy? - Compare NPVs
  • High-efficiency NPV 8.51 x 22,320 189,943
  • Normal Efficiency NPV 8.51 x 22,752 193,620

54
NPV example
  • Which should you buy? - Compare NPVs
  • High-efficiency NPV 8.51 x 22,320 189,943
  • Normal Efficiency NPV 8.51 x 22,752
    193,620
  • Incremental First Cost 1,000 for high
    efficiency, NPV of future savings 3,677
  • NET BENEFIT to your company
  • 2,677 at your companys 10 discount rate

55
LM 6
  • Determine which of these two investments are best
    for your company on a net present value (NPV)
    basis, assume a discount rate of 7
  • A) A 13,000 hi-efficiency cooling system upgrade
    that lasts 11 years and saves 1,800 per year
  • B) A 21,500 PV system that lasts for 20 years
    and saves 2,200 / year

56
Internal Rate of Return (IRR)
  • Rate of return analysis is probably the most
    frequently used exact engineering cost analysis
    technique used in industry. Its major advantage
    is that we can calculate a single figure of merit
    that is readily understood and it requires no
    interest rate, bond rate or discount rate to be
    determined.

57
IRR
  • What is it?
  • The internal rate of return for any investment is
    the discount rate that makes the present value of
    the investments income stream total to zero

58
IRR applet
  • http//hadm.sph.sc.edu/COURSES/ECON/irr/irr.html

59
Another IRR approach
60
IRR example
  • A premium air conditioner costs an extra 1000
    and saves 200 per year in electricity. It has a
    lifetime of 10 years. What is its IRR?
  • SPP - 1000/200/yr 5 Years
  • Lifetime is 10 years look in Table 5.4

61
IRR
  • IRR is 15

62
LM 7
  • Determine which of these two investments has best
    IRR for your company -
  • A) A 13,000 hi-efficiency cooling system upgrade
    that lasts 15 years and saves 1,808 per year
  • B) A 19,500 PV system that lasts for 25 years
    and saves 2,660 / year
  • Write IRR for each and then make your selection

63
NPV with fuel escalation
NPV We calculate an equivalent discount rate
64
IRR with fuel escalation
IRR We calculate an equivalent rate of return
65
Annualizing the Investment
  • Since money may be borrowed internally or
    externally considering the capital investment as
    a loan is always a helpful economic analysis
    method
  • A P x CRF (i,n)
  • CRF 1/PVF

66
Annual Cost example
  • A 4-kW PV system in NJ generates 5,200 kWh per
    year, it costs 8,500 after rebates. Assume a
    6, 20-year loan. Assume your electric price is
    12 cents/kWh and the SREC is worth 20 cents/kWh.
    What is your annual cost and what is your
    benefit-cost ratio?
  • Annual Cost A P x CRF ( 0.06, 20)
  • Annual Cost 8,500 x 0.0872 741 / year
  • Annual Benefits 1,664 / year
  • Benefit-Cost Ratio 1,664/741 2.25

67
LM 8
  • Determine which of these two APS investments has
    best COST - BENEFIT ratio for your company.
    (assume 8 loan)
  • A) A 12,000 wind turbine that saves 1,800 per
    year and lasts 20 years.
  • B) A 18,500 PV system that lasts for 30 years
    and saves 2,250 / year
  • Write Annual Cost for each and then make your
    selection based on B-C ratio

68
Cash Flow
  • Most comprehensive and flexible way to consider
    an investment.
  • Accounts for
  • Fuel escalation
  • Tax-deductible interest
  • Depreciation
  • Periodic maintenance
  • Salvage value

69
Wind Turbines
  • Wind energy is proportional to V3, Why?

70
Simple Rule of Thumb
  • Annual Energy (kWh) 1.64 D2 V3
  • D rotor diameter, meters
  • V annual average wind speed (m/sec)

71
New homework
  • HW 6 due Monday after Spring Break
  • Now posted on web
  • Plus Final APS project proposal

72
New homework
  • HW 6 due Monday after break 21 Mar
  • now posted on web
  • 5.3, 5.4, 5.5, 5.6, 5.8, 5.10, 5.14, 5.15, 5.16
  • Also MUST INCLUDE
  • Final Project Proposal (and Team Members)
  • Identified APS Technology (ies)
  • Identified Site and Prospective Customer -
    Contact
  • Approach, tasks, schedule, Gantt chart, etc.
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